tag:blogger.com,1999:blog-28020580730991343952024-03-12T16:41:05.150-07:00rutamatematicaHACER QUE LAS MATEMÁTICAS QUE SEAN FÁCILES Y DIVERTIDAS ES INTENTAR SUPERAR LOS GRADOS DE DIFICULTAD PASO A PASO David montenegrohttp://www.blogger.com/profile/12104593147060605502noreply@blogger.comBlogger299125tag:blogger.com,1999:blog-2802058073099134395.post-29722318792438763182020-09-06T15:34:00.001-07:002020-09-06T15:34:27.748-07:00CONVERTIR UNA FRACCIÓN IMPROPIA A MIXTA<iframe allowfullscreen="" frameborder="0" height="270" src="https://www.youtube.com/embed/NqQoxPIKLmM" width="480"></iframe>David montenegrohttp://www.blogger.com/profile/12104593147060605502noreply@blogger.com0tag:blogger.com,1999:blog-2802058073099134395.post-44856838523653801442020-08-30T15:47:00.001-07:002020-08-30T15:47:22.806-07:00Fracción de Fracción, Ejercicio 1<iframe allowfullscreen="" frameborder="0" height="270" src="https://www.youtube.com/embed/D_WTOu8Tvk0" width="480"></iframe>David montenegrohttp://www.blogger.com/profile/12104593147060605502noreply@blogger.com0tag:blogger.com,1999:blog-2802058073099134395.post-84662340540744937822020-05-16T12:22:00.001-07:002020-05-16T12:26:35.321-07:00SUMA Y RESTA DE NÚMEROS ENTEROS EN LA RECTA NUMÉRICA GRADO 7° DAVID<iframe allowfullscreen="" frameborder="0" height="344" src="https://www.youtube.com/embed/vm9Y15Dhod0" width="459"></iframe>David montenegrohttp://www.blogger.com/profile/12104593147060605502noreply@blogger.com0tag:blogger.com,1999:blog-2802058073099134395.post-21857693174461188732020-04-16T20:11:00.002-07:002020-04-16T20:15:04.176-07:00NÚMEROS NATURALES GRADO 6° DAVID <br />
<div class="MsoNormal">
TALLER DE NÚMEROS NATURALES PRIMER PERIODO GRADO 6°<o:p></o:p><br />
<br />
<br /></div>
<div class="MsoNormal" style="text-align: justify;">
1.<span style="mso-tab-count: 1;"> </span>En una carrera atlética, Arturo llegó después de
Bernardo. Carlos llegó antes que Arturo, pero después de Bernardo, mientras que
Diego llegó antes que Bernardo, pero después de Eduardo. ¿En qué orden llegaron
los atletas a la meta?<o:p></o:p><br />
<br /></div>
<div class="MsoNormal" style="text-align: justify;">
Arturo (<span style="mso-tab-count: 1;"> </span><span style="mso-spacerun: yes;"> </span>)<span style="mso-spacerun: yes;"> </span><span style="mso-tab-count: 1;"> </span><span style="mso-spacerun: yes;"> </span>Diego (<span style="mso-spacerun: yes;">
</span>)<span style="mso-tab-count: 1;"> </span> Bernardo (<span style="mso-spacerun: yes;"> </span>) <span style="mso-tab-count: 1;"> </span>Carlos
(<span style="mso-spacerun: yes;"> </span>)<span style="mso-tab-count: 1;"> </span>
Eduardo (<span style="mso-spacerun: yes;"> </span>)<o:p></o:p><br />
<br /></div>
<div class="MsoNormal" style="text-align: justify;">
<br /></div>
<div class="MsoNormal" style="text-align: justify;">
2.<span style="mso-tab-count: 1;"> </span>Escribe el símbolo <span style="mso-spacerun: yes;"> </span>=,<span style="mso-spacerun: yes;"> </span> < <span style="mso-spacerun: yes;"> </span>o > <span style="mso-spacerun: yes;"> </span>, según corresponda.<o:p></o:p></div>
<div class="MsoListParagraphCxSpFirst" style="text-align: justify;">
<br /></div>
<div class="MsoListParagraphCxSpMiddle" style="mso-list: l0 level1 lfo1; text-align: justify; text-indent: -18.0pt;">
<!--[if !supportLists]--><span style="mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;"><span style="mso-list: Ignore;">a<span style="font: 7.0pt "Times New Roman";"> </span><span style="font-family: "times new roman"; font-stretch: normal; font-style: normal; font-variant: normal; font-weight: normal; line-height: normal;"> a</span></span></span><span style="mso-spacerun: yes;">) </span>36904129 <span style="mso-tab-count: 1;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-tab-count: 1;"> </span><span style="mso-spacerun: yes;"> </span>27219085 <span style="mso-tab-count: 1;"> </span><o:p></o:p></div>
<div class="MsoListParagraphCxSpMiddle" style="text-align: justify;">
<br /></div>
<div class="MsoListParagraphCxSpLast" style="mso-list: l0 level1 lfo1; text-align: justify; text-indent: -18.0pt;">
<!--[if !supportLists]--><span style="mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;"><span style="mso-list: Ignore;">b<span style="font: 7.0pt "Times New Roman";"> </span></span></span><!--[endif]--><span style="mso-spacerun: yes;"> b) </span>98056628 <span style="mso-tab-count: 1;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-tab-count: 1;"> </span>100000000<o:p></o:p><br />
<br /></div>
<div class="MsoNormal" style="text-align: justify; text-indent: 18.0pt;">
<span style="mso-tab-count: 1;"> c) </span> 23543578 <span style="mso-tab-count: 1;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-tab-count: 1;"> </span>23462906<o:p></o:p><br />
<br /></div>
<div class="MsoNormal" style="text-align: justify; text-indent: 18.0pt;">
d) <span style="mso-spacerun: yes;"> </span><span style="mso-tab-count: 1;"> </span>45
millones) <span style="mso-tab-count: 1;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-tab-count: 1;"> </span><span style="mso-spacerun: yes;"> </span>45000<o:p></o:p><br />
<br /></div>
<div class="MsoNormal" style="text-align: justify; text-indent: 18.0pt;">
e)<span style="mso-tab-count: 1;"> </span> 56789452<span style="mso-spacerun: yes;"> </span><span style="mso-tab-count: 1;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span>56896904<o:p></o:p><br />
<br /></div>
<div class="MsoNormal" style="text-align: justify; text-indent: 18.0pt;">
<span style="mso-spacerun: yes;"> </span>f)<span style="mso-tab-count: 1;"> </span> 65908001<span style="mso-spacerun: yes;"> </span><span style="mso-tab-count: 2;"> </span>65900001<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify; text-indent: 18.0pt;">
<br /></div>
<div class="MsoNormal" style="text-align: justify;">
3.<span style="mso-tab-count: 1;"> </span>determina si cada afirmación es verdadera [Vl o falsa
[F].<span style="mso-spacerun: yes;"> </span>trazar la recta numérica<o:p></o:p><br />
<br /></div>
<div class="MsoNormal" style="text-align: justify;">
a)<span style="mso-tab-count: 1;"> </span> 6 es menor que 8, porque 6 está ubicado a la izquierda
de 8.<span style="mso-tab-count: 1;"> </span><span style="mso-tab-count: 1;"> </span>(<span style="mso-spacerun: yes;"> </span>)<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
b)<span style="mso-tab-count: 1;"> </span> 7 es mayor que 13, porque 7 está ubicado a la derecha de
13.<span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span>(<span style="mso-spacerun: yes;"> </span>)<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
c)<span style="mso-tab-count: 1;"> </span>el 4 es mayor que 10, porque 4 se localiza a la izquierda
de 10.<span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span>(<span style="mso-spacerun: yes;"> </span>)<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
d)<span style="mso-tab-count: 1;"> </span> Como 9 se localiza a la derecha de 5, entonces 9 es mayor
que 5. <span style="mso-tab-count: 1;"> </span><span style="mso-spacerun: yes;"> </span>(<span style="mso-spacerun: yes;"> </span>)<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
e)<span style="mso-tab-count: 1;"> </span> Como 12 se localiza a la izquierda de 14, entonces 14 es
mayor que 12.<span style="mso-spacerun: yes;"> </span>(<span style="mso-spacerun: yes;"> </span>)<o:p></o:p><br />
<br /></div>
<div class="MsoNormal" style="text-align: justify;">
<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
4.<span style="mso-tab-count: 1;"> </span>Ordena de mayor a menor los números de cada lista.<o:p></o:p><br />
<br /></div>
<div class="MsoNormal" style="text-align: justify;">
a)<span style="mso-tab-count: 1;"> </span>162, 126, 132, 136, 192<br />
<span style="mso-spacerun: yes;"> b)</span><span style="mso-spacerun: yes;"> </span><span style="mso-tab-count: 1;"> </span>349, 343, 523, 243, 543</div>
<div class="MsoNormal" style="text-align: justify;">
<o:p></o:p></div>
<div class="MsoNormal" style="margin-left: 18.0pt; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="text-align: justify;">
5.<span style="mso-tab-count: 1;"> </span>Resuelve los problemas que se proponen a continuación<o:p></o:p><br />
<br /></div>
<div class="MsoNormal" style="margin-left: 35.4pt; text-align: justify; text-indent: -33.15pt;">
a).<span style="mso-tab-count: 1;"> </span> El tanque de
reserva de agua de un edificio tiene una capacidad de 5789 L. Si diariamente se
consumen 1200 L. ¿cuánta agua queda después del primer día? <o:p></o:p><br />
<br /></div>
<div class="MsoNormal" style="margin-left: 35.4pt; text-align: justify; text-indent: -35.4pt;">
b)<span style="mso-tab-count: 1;"> </span> En un teatro hay
210 adultos. Los adolescentes son 79 menos que los adultos y los niños 40 más
que los adolescentes. . ¿Cuántas personas hay en el teatro, entre adultos,
adolescentes y niños?<o:p></o:p><br />
<br /></div>
<div class="MsoNormal" style="text-align: justify;">
6. <span style="mso-tab-count: 1;"> </span>Halla el resultado de las siguientes operaciones. <o:p></o:p><br />
<br /></div>
<div class="MsoNormal" style="text-align: justify;">
a)<span style="mso-tab-count: 1;"> </span>4 + (9 – 5) + 8 = b)<span style="mso-tab-count: 1;"> </span> (15 – 7) – (13 – 6) =<span style="mso-tab-count: 1;"> </span></div>
<div class="MsoNormal" style="text-align: justify;">
<o:p></o:p></div>
<br />David montenegrohttp://www.blogger.com/profile/12104593147060605502noreply@blogger.com0tag:blogger.com,1999:blog-2802058073099134395.post-42163679237865759132020-04-16T18:41:00.005-07:002020-04-16T19:03:48.726-07:00 TALLER NÚMEROS ENTEROS GRADO 7° DAVID ABRIL 2020<a href="https://drive.google.com/file/d/1Zut4Etwqp4uKtUzIZN_w1sOwminmTJNA/view?usp=sharing">DESCARGAR</a><br />
<br />
<br />David montenegrohttp://www.blogger.com/profile/12104593147060605502noreply@blogger.com1tag:blogger.com,1999:blog-2802058073099134395.post-19083865710276205122020-02-21T18:55:00.003-08:002020-02-21T19:08:55.541-08:00OPERACIONES CON NÚMEROS ENTEROS GRADO 7° DAVID<div align="center" style="background-color: white; color: #414b56; font-family: Arial, Verdana, sans-serif; font-size: 13.3333px; margin: 0cm 0cm 0pt; text-align: center;">
<b><span style="font-size: 14pt;"><span style="font-size: small;"><br /></span></span></b></div>
<div align="center" style="background-color: white; color: #414b56; font-family: Arial, Verdana, sans-serif; font-size: 13.3333px; margin: 0cm 0cm 0pt; text-align: center;">
<b><span style="font-size: 14pt;"><span style="font-size: small;"><br /></span></span></b></div>
<div style="background-color: white; color: #414b56; font-family: Arial, Verdana, sans-serif; font-size: 13.3333px; margin: 0cm 0cm 0pt; text-align: left;">
<b><span style="font-size: 14pt;"><span style="font-size: small;"><br /></span></span></b></div>
<div style="background: white; margin-bottom: .0001pt; margin: 0cm; text-align: justify;">
<span lang="ES-TRAD">INSTITUCIÓN
EDUCATIVA CARLOS M SIMMONDS<o:p></o:p></span></div>
<div style="background: white; margin-bottom: .0001pt; margin: 0cm; text-align: justify;">
<span lang="ES-TRAD">GRADO 7°OPERACIONES
CON NÚMEROS ENTEROS<o:p></o:p></span></div>
<div style="background: white; margin-bottom: .0001pt; margin: 0cm; text-align: justify;">
<br /></div>
<div style="background: white; margin-bottom: .0001pt; margin: 0cm; text-align: justify;">
<span lang="ES-TRAD">SUMA DE NÚMEROS
ENTEROS<o:p></o:p></span></div>
<div style="background: white; margin-bottom: .0001pt; margin: 0cm; text-align: justify;">
<br /></div>
<div style="background: white; margin: 0cm 0cm 0.0001pt; text-align: justify;">
<span lang="ES-TRAD">Al
sumar números enteros se pueden considerar cuatro casos</span><span style="color: #414b56; font-family: "arial" , sans-serif; font-size: 10.0pt;"><o:p></o:p></span></div>
<div style="background: white; margin: 0cm 0cm 0.0001pt 31.2pt;">
<span lang="ES-TRAD">1.</span><span lang="ES-TRAD" style="font-size: 7pt;"> </span><span lang="ES-TRAD">Los dos números sean
positivos.</span><span style="color: #414b56; font-family: "arial" , sans-serif; font-size: 10.0pt;"><o:p></o:p></span></div>
<div style="background: white; margin: 0cm 0cm 0.0001pt 31.2pt; text-align: justify;">
<span lang="ES-TRAD">2.</span><span lang="ES-TRAD" style="font-size: 7pt;"> </span><span lang="ES-TRAD">Un número es
positivo y el otro negativo.</span><span style="color: #414b56; font-family: "arial" , sans-serif; font-size: 10.0pt;"><o:p></o:p></span></div>
<div style="background: white; margin: 0cm 0cm 0.0001pt 31.2pt; text-align: justify;">
<span lang="ES-TRAD">3.</span><span lang="ES-TRAD" style="font-size: 7pt;"> </span><span lang="ES-TRAD">Los dos números sean
negativos.</span><span style="color: #414b56; font-family: "arial" , sans-serif; font-size: 10.0pt;"><o:p></o:p></span></div>
<div style="background: white; margin: 0cm 0cm 0.0001pt 31.2pt; text-align: justify;">
<span lang="ES-TRAD">4.</span><span lang="ES-TRAD" style="font-size: 7pt;"> </span><span lang="ES-TRAD">Suma de varios
números enteros.</span><span style="color: #414b56; font-family: "arial" , sans-serif; font-size: 10.0pt;"><o:p></o:p></span></div>
<div style="background: white; margin: 0cm 0cm 0.0001pt; text-align: justify;">
<br /></div>
<div style="background: white; margin: 0cm 0cm 0.0001pt;">
<span lang="ES-TRAD">LOS DOS
NÚMEROS SEAN POSITIVOS.</span><span style="color: #414b56; font-family: "arial" , sans-serif; font-size: 10.0pt;"><o:p></o:p></span></div>
<div style="background: white; margin: 0cm 0cm 0.0001pt;">
<br /></div>
<div style="background: white; margin: 0cm 0cm 0.0001pt;">
<span lang="ES-TRAD">Para
sumar dos números enteros positivos se suman sus valores absolutos y les
colocamos </span></div>
<div style="background: white; margin: 0cm 0cm 0.0001pt;">
<span lang="ES-TRAD">el signo ( + ).</span><span style="color: #414b56; font-family: "arial" , sans-serif; font-size: 10.0pt;"><o:p></o:p></span></div>
<div style="background: white; margin: 0cm 0cm 0.0001pt;">
<br /></div>
<div style="background: white; margin: 0cm 0cm 0.0001pt;">
<span lang="ES-TRAD">Ejemplo</span><span style="color: #414b56; font-family: "arial" , sans-serif; font-size: 10.0pt;"><o:p></o:p></span></div>
<div style="background: white; margin: 0cm 0cm 0.0001pt;">
<br /></div>
<div style="background: white; margin: 0cm 0cm 0.0001pt;">
<strong><span lang="ES-TRAD" style="color: red; mso-ansi-language: ES-TRAD;">1) (+3)
+ (+5) = 10</span></strong><span style="color: #414b56; font-family: "arial" , sans-serif; font-size: 10.0pt;"><o:p></o:p></span></div>
<div style="background: white; margin: 0cm 0cm 0.0001pt;">
<strong><span lang="ES-TRAD" style="color: red; mso-ansi-language: ES-TRAD;">2) (+20)
+ (30) = 50</span></strong><span style="color: #414b56; font-family: "arial" , sans-serif; font-size: 10.0pt;"><o:p></o:p></span></div>
<div style="background: white; margin: 0cm 0cm 0.0001pt;">
<br /></div>
<div style="background: white; margin: 0cm 0cm 0.0001pt;">
<span lang="ES-TRAD">UN NÚMERO
ES POSITIVO Y EL OTRO NEGATIVO</span><span style="color: #414b56; font-family: "arial" , sans-serif; font-size: 10.0pt;"><o:p></o:p></span></div>
<div style="background: white; margin: 0cm 0cm 0.0001pt;">
<span lang="ES-TRAD">Para
sumar dos números enteros de distinto signo se restan sus valores absolutos y a
la diferencia se coloca </span>el signo que tenga
mayor valor absoluto.</div>
<div style="background: white; margin: 0cm 0cm 0.0001pt;">
<br /></div>
<div style="background: white; margin: 0cm 0cm 0.0001pt;">
<span lang="ES-TRAD">Ejemplo.</span><span style="color: #414b56; font-family: "arial" , sans-serif; font-size: 10.0pt;"><o:p></o:p></span></div>
<div style="background: white; margin: 0cm 0cm 0.0001pt;">
<br /></div>
<div style="background: white; margin: 0cm 0cm 0.0001pt;">
<strong><span lang="ES-TRAD" style="color: red; mso-ansi-language: ES-TRAD;">1) (-50)
+ (+30) = -20</span></strong><span style="color: #414b56; font-family: "arial" , sans-serif; font-size: 10.0pt;"><o:p></o:p></span></div>
<div style="background: white; margin: 0cm 0cm 0.0001pt;">
<strong><span lang="ES-TRAD" style="color: red; mso-ansi-language: ES-TRAD;">2) (+70)
+ (-15) = 55</span></strong><span style="color: #414b56; font-family: "arial" , sans-serif; font-size: 10.0pt;"><o:p></o:p></span></div>
<div style="background: white; margin: 0cm 0cm 0.0001pt;">
<br /></div>
<div style="background: white; margin: 0cm 0cm 0.0001pt;">
<span lang="ES-TRAD">LOS DOS
NÚMEROS SEAN NEGATIVOS.</span><span style="color: #414b56; font-family: "arial" , sans-serif; font-size: 10.0pt;"><o:p></o:p></span></div>
<div style="background: white; margin: 0cm 0cm 0.0001pt; text-align: justify;">
<span lang="ES-TRAD">Para
sumar dos números enteros negativos se suman sus valores absolutos y al resultado
le colocamos <o:p></o:p></span></div>
<div style="background: white; margin-bottom: .0001pt; margin: 0cm; text-align: justify;">
<span lang="ES-TRAD">el signo ( - ).</span><span style="color: #414b56; font-family: "arial" , sans-serif; font-size: 10.0pt;"><o:p></o:p></span></div>
<div style="background: white; margin: 0cm 0cm 0.0001pt; text-align: justify;">
<br /></div>
<div style="background: white; margin: 0cm 0cm 0.0001pt; text-align: justify;">
<span lang="ES-TRAD">Ejemplo.</span><span style="color: #414b56; font-family: "arial" , sans-serif; font-size: 10.0pt;"><o:p></o:p></span></div>
<div style="background: white; margin: 0cm 0cm 0.0001pt; text-align: justify;">
<br /></div>
<div style="background: white; margin: 0cm 0cm 0.0001pt; text-align: justify;">
<strong><span lang="ES-TRAD" style="color: red; mso-ansi-language: ES-TRAD;">1) (-60) + (-40) = -100</span></strong><span style="color: #414b56; font-family: "arial" , sans-serif; font-size: 10.0pt;"><o:p></o:p></span></div>
<div style="background: white; margin: 0cm 0cm 0.0001pt; text-align: justify;">
<strong><span lang="ES-TRAD" style="color: red; mso-ansi-language: ES-TRAD;">2) (-800) + (-200) = -1000</span></strong><span style="color: #414b56; font-family: "arial" , sans-serif; font-size: 10.0pt;"><o:p></o:p></span></div>
<div style="background: white; margin: 0cm 0cm 0.0001pt; text-align: justify;">
<br /></div>
<div style="background: white; margin: 0cm 0cm 0.0001pt;">
<span lang="ES-TRAD">SUMA DE
VARIOS NÚMEROS ENTEROS.<o:p></o:p></span></div>
<div style="background: white; margin-bottom: .0001pt; margin: 0cm;">
<br /></div>
<div style="background: white; margin: 0cm 0cm 0.0001pt;">
<span lang="ES-TRAD">Para
sumar varios números enteros, tanto positivos como negativos, hacemos lo
siguiente:</span><span style="color: #414b56; font-family: "arial" , sans-serif; font-size: 10.0pt;"><o:p></o:p></span></div>
<div style="background: white; margin: 0cm 0cm 0.0001pt 31.2pt;">
<span lang="ES-TRAD">a.</span><span lang="ES-TRAD" style="font-size: 7pt;"> </span><span lang="ES-TRAD">Sumamos aparte los
enteros positivos.</span><span style="color: #414b56; font-family: "arial" , sans-serif; font-size: 10.0pt;"><o:p></o:p></span></div>
<div style="background: white; margin: 0cm 0cm 0.0001pt 31.2pt;">
<span lang="ES-TRAD">b.</span><span lang="ES-TRAD" style="font-size: 7pt;"> </span><span lang="ES-TRAD">Sumamos aparte los
enteros negativos.</span><span style="color: #414b56; font-family: "arial" , sans-serif; font-size: 10.0pt;"><o:p></o:p></span></div>
<div style="background: white; margin: 0cm 0cm 0.0001pt 31.2pt;">
<span lang="ES-TRAD">c.</span><span lang="ES-TRAD" style="font-size: 7pt;"> </span><span lang="ES-TRAD">Sumamos los dos
resultados obtenidos: con el signo que tenga mayor valor absoluto.</span><span style="color: #414b56; font-family: "arial" , sans-serif; font-size: 10.0pt;"><o:p></o:p></span></div>
<div style="background: white; margin: 0cm 0cm 0.0001pt;">
<br /></div>
<div style="background: white; margin: 0cm 0cm 0.0001pt;">
<span lang="ES-TRAD">Ejemplo</span><span style="color: #414b56; font-family: "arial" , sans-serif; font-size: 10.0pt;"><o:p></o:p></span></div>
<div style="background: white; margin: 0cm 0cm 0.0001pt;">
<br /></div>
<div style="background: white; margin: 0cm 0cm 0.0001pt;">
<strong><span lang="ES-TRAD" style="color: red; mso-ansi-language: ES-TRAD;">1) (+10)
+ (-30) + (-80) + (+40) + (-100) =</span></strong><span style="color: #414b56; font-family: "arial" , sans-serif; font-size: 10.0pt;"><o:p></o:p></span></div>
<div style="background: white; margin: 0cm 0cm 0.0001pt;">
<span lang="ES-TRAD">Sumemos
los números positvos.</span><span style="color: #414b56; font-family: "arial" , sans-serif; font-size: 10.0pt;"><o:p></o:p></span></div>
<div style="background: white; margin: 0cm 0cm 0.0001pt;">
<strong><span lang="ES-TRAD" style="color: red; mso-ansi-language: ES-TRAD;">(+10)
+ (+40) = 50</span></strong><span style="color: #414b56; font-family: "arial" , sans-serif; font-size: 10.0pt;"><o:p></o:p></span></div>
<div style="background: white; margin: 0cm 0cm 0.0001pt;">
<span lang="ES-TRAD">Sumemos
los números negativos.</span><span style="color: #414b56; font-family: "arial" , sans-serif; font-size: 10.0pt;"><o:p></o:p></span></div>
<div style="background: white; margin: 0cm 0cm 0.0001pt;">
<strong><span lang="ES-TRAD" style="color: red; mso-ansi-language: ES-TRAD;">(-30)
+(-80) + (-100) = -210</span></strong><span style="color: #414b56; font-family: "arial" , sans-serif; font-size: 10.0pt;"><o:p></o:p></span></div>
<div style="background: white; margin: 0cm 0cm 0.0001pt;">
<span lang="ES-TRAD">Ahora
sumemos los resultados parciales.</span><span style="color: #414b56; font-family: "arial" , sans-serif; font-size: 10.0pt;"><o:p></o:p></span></div>
<div style="background: white; margin: 0cm 0cm 0.0001pt;">
<strong><span lang="ES-TRAD" style="color: red; mso-ansi-language: ES-TRAD;">(-210)
+ (+50) = -160</span></strong><span style="color: #414b56; font-family: "arial" , sans-serif; font-size: 10.0pt;"><o:p></o:p></span></div>
<div style="background: white; margin: 0cm 0cm 0.0001pt;">
<br /></div>
<div style="background: white; margin: 0cm 0cm 0.0001pt;">
<br /></div>
<div style="margin-bottom: .0001pt; margin: 0cm;">
<strong><span lang="ES-TRAD" style="background: white; color: red;">2) (+15)
+ (-35) + (-65) + (+35) + (-10) + (+200) =</span></strong><span lang="ES-TRAD" style="background: white; font-size: 10pt;"><o:p></o:p></span></div>
<div style="margin-bottom: .0001pt; margin: 0cm;">
<span lang="ES-TRAD" style="background: white;">Sumemos los
números positvos.</span><span lang="ES-TRAD" style="background: white; font-size: 10pt;"><o:p></o:p></span></div>
<div style="margin-bottom: .0001pt; margin: 0cm;">
<strong><span lang="ES-TRAD" style="background: white; color: red;">(+15) + (+35) +
(+200) = 250</span></strong><span lang="ES-TRAD" style="background: white; font-size: 10pt;"><o:p></o:p></span></div>
<div style="margin-bottom: .0001pt; margin: 0cm;">
<span lang="ES-TRAD" style="background: white;">Sumemos los
números negativos.</span><span lang="ES-TRAD" style="background: white; font-size: 10pt;"><o:p></o:p></span></div>
<div style="margin-bottom: .0001pt; margin: 0cm;">
<strong><span lang="ES-TRAD" style="background: white; color: red;">(-35) +(-65) +
(-10) = -110</span></strong><span lang="ES-TRAD" style="background: white; font-size: 10pt;"><o:p></o:p></span></div>
<div style="margin-bottom: .0001pt; margin: 0cm;">
<span lang="ES-TRAD" style="background: white;">Ahora sumemos
los resultados parciales.</span><span lang="ES-TRAD" style="background: white; font-size: 10pt;"><o:p></o:p></span></div>
<div style="margin-bottom: .0001pt; margin: 0cm;">
<strong><span lang="ES-TRAD" style="background: white; color: red;">(-110) + (+250) =
140</span></strong><span lang="ES-TRAD" style="background: white; font-size: 10pt;"><o:p></o:p></span></div>
<div class="MsoNormal">
<br /></div>
<div style="background: white; margin-bottom: .0001pt; margin: 0cm;">
<span lang="ES-TRAD">PROPIEDADES DE LA
SUMA DE NÚMEROS ENTEROS</span><span style="color: #414b56; font-family: "arial" , sans-serif; font-size: 10.0pt;"><o:p></o:p></span></div>
<div style="background: white; margin: 0cm 0cm 0.0001pt;">
<br /></div>
<div style="background: white; margin: 0cm 0cm 0.0001pt;">
<span lang="ES-TRAD">PROPIEDAD
CLAUSURATIVA</span><span style="color: #414b56; font-family: "arial" , sans-serif; font-size: 10.0pt;"><o:p></o:p></span></div>
<div style="background: white; margin: 0cm 0cm 0.0001pt;">
<br /></div>
<div style="background: white; margin: 0cm 0cm 0.0001pt;">
<span lang="ES-TRAD">La suma
de dos números enteros es otro número entero, es decir:</span><span style="color: #414b56; font-family: "arial" , sans-serif; font-size: 10.0pt;"><o:p></o:p></span></div>
<div style="background: white; margin: 0cm 0cm 0.0001pt;">
<span lang="ES-TRAD">Si a, b Є
Z entonces a + b Є Z<o:p></o:p></span></div>
<div style="background: white; margin-bottom: .0001pt; margin: 0cm;">
<br /></div>
<div style="background: white; margin: 0cm 0cm 0.0001pt;">
<span lang="ES-TRAD">Ejemplo<o:p></o:p></span></div>
<div style="background: white; margin-bottom: .0001pt; margin: 0cm;">
<br /></div>
<div style="background: white; margin: 0cm 0cm 0.0001pt;">
<strong><span lang="ES-TRAD" style="color: red; mso-ansi-language: ES-TRAD;">1) (+20)
+ (-30) = -10</span></strong><span style="color: #414b56; font-family: "arial" , sans-serif; font-size: 10.0pt;"><o:p></o:p></span></div>
<div style="background: white; margin: 0cm 0cm 0.0001pt;">
<strong><span lang="ES-TRAD" style="color: red; mso-ansi-language: ES-TRAD;">2) (-10)
+ (-70) = -140</span></strong><span style="color: #414b56; font-family: "arial" , sans-serif; font-size: 10.0pt;"><o:p></o:p></span></div>
<div style="background: white; margin: 0cm 0cm 0.0001pt;">
<br /></div>
<div style="background: white; margin: 0cm 0cm 0.0001pt;">
<span lang="ES-TRAD">PROPIEDAD
CONMUTATIVA</span><span style="color: #414b56; font-family: "arial" , sans-serif; font-size: 10.0pt;"><o:p></o:p></span></div>
<div style="background: white; margin: 0cm 0cm 0.0001pt;">
<br /></div>
<div style="background: white; margin: 0cm 0cm 0.0001pt;">
<span lang="ES-TRAD">La suma
de dos o más números enteros no depende del orden de los términos; es decir:</span><span style="color: #414b56; font-family: "arial" , sans-serif; font-size: 10.0pt;"><o:p></o:p></span></div>
<div style="background: white; margin: 0cm 0cm 0.0001pt; text-align: justify;">
<span lang="ES-TRAD">Si
a, b Є Z entonces a + b = b +a<o:p></o:p></span></div>
<div style="background: white; margin-bottom: .0001pt; margin: 0cm; text-align: justify;">
<br /></div>
<div style="background: white; margin: 0cm 0cm 0.0001pt; text-align: justify;">
<span lang="ES-TRAD"> Ejemplo<o:p></o:p></span></div>
<div style="background: white; margin-bottom: .0001pt; margin: 0cm; text-align: justify;">
<br /></div>
<div style="background: white; margin: 0cm 0cm 0.0001pt; text-align: justify;">
<strong><span lang="ES-TRAD" style="color: red; font-size: 13.5pt;">1) (-80) + (+25) =
(+25) + (-80)</span></strong><span style="color: #414b56; font-family: "arial" , sans-serif; font-size: 10.0pt;"><o:p></o:p></span></div>
<div style="background: white; margin: 0cm 0cm 0.0001pt; text-align: justify;">
<strong><span lang="ES-TRAD" style="color: red; font-size: 13.5pt;">
-55 = -55</span></strong><span style="color: #414b56; font-family: "arial" , sans-serif; font-size: 10.0pt;"><o:p></o:p></span></div>
<div style="background: white; margin: 0cm 0cm 0.0001pt; text-align: justify;">
<br /></div>
<div style="background: white; margin: 0cm 0cm 0.0001pt; text-align: justify;">
<strong><span lang="ES-TRAD" style="color: red; font-size: 13.5pt;">2) (-200) +
(+50) + (-30) = (-30) + (-200) + (+50)</span></strong><span style="color: #414b56; font-family: "arial" , sans-serif; font-size: 10.0pt;"><o:p></o:p></span></div>
<div style="background: white; margin: 0cm 0cm 0.0001pt; text-align: justify;">
<strong><span lang="ES-TRAD" style="color: red; font-size: 13.5pt;">
-180 = -180 </span></strong><span style="color: #414b56; font-family: "arial" , sans-serif; font-size: 10.0pt;"><o:p></o:p></span></div>
<div style="background: white; margin: 0cm 0cm 0.0001pt; text-align: justify;">
<span lang="ES-TRAD">PROPIEDAD
ASOCIATIVA</span><span style="color: #414b56; font-family: "arial" , sans-serif; font-size: 10.0pt;"><o:p></o:p></span></div>
<div style="background: white; margin: 0cm 0cm 0.0001pt; text-align: justify;">
<br /></div>
<div style="background: white; margin: 0cm 0cm 0.0001pt; text-align: justify;">
<span lang="ES-TRAD">La
suma de tres p más números enteros no depende de la forma en que se asocien sus
términos; es decir:</span><span style="color: #414b56; font-family: "arial" , sans-serif; font-size: 10.0pt;"><o:p></o:p></span></div>
<div style="background: white; margin: 0cm 0cm 0.0001pt; text-align: justify;">
<span lang="ES-TRAD">Si
a, b, c Є Z entonces a +( b + c ) = ( a + b ) + c</span><span style="color: #414b56; font-family: "arial" , sans-serif; font-size: 10.0pt;"><o:p></o:p></span></div>
<div style="background: white; margin: 0cm 0cm 0.0001pt; text-align: justify;">
<br /></div>
<div style="background: white; margin: 0cm 0cm 0.0001pt; text-align: justify;">
<strong><span lang="ES-TRAD" style="color: red; font-size: 13.5pt;">1) [ (-8) + (+10)]
+ (-20) = (-8) + [ (+10) + (-20) ]</span></strong><span style="color: #414b56; font-family: "arial" , sans-serif; font-size: 10.0pt;"><o:p></o:p></span></div>
<div style="background: white; margin: 0cm 0cm 0.0001pt; text-align: justify;">
<strong><span lang="ES-TRAD" style="color: red; font-size: 13.5pt;">
[+2] + (-20) = (-8) + [-10]</span></strong><span style="color: #414b56; font-family: "arial" , sans-serif; font-size: 10.0pt;"><o:p></o:p></span></div>
<div style="background: white; margin: 0cm 0cm 0.0001pt; text-align: justify;">
<strong><span lang="ES-TRAD" style="color: red; font-size: 13.5pt;">
-18 = -18</span></strong><span style="color: #414b56; font-family: "arial" , sans-serif; font-size: 10.0pt;"><o:p></o:p></span></div>
<div style="background: white; margin: 0cm 0cm 0.0001pt; text-align: justify;">
<br /></div>
<div style="background: white; margin: 0cm 0cm 0.0001pt; text-align: justify;">
<br /></div>
<div style="background: white; margin: 0cm 0cm 0.0001pt; text-align: justify;">
<strong><span lang="ES-TRAD" style="color: red; font-size: 13.5pt;">1) [ (+100) +
(+30)] + (-200) = (+100) + [ (+30) + (-200) ]</span></strong><span style="color: #414b56; font-family: "arial" , sans-serif; font-size: 10.0pt;"><o:p></o:p></span></div>
<div style="background: white; margin: 0cm 0cm 0.0001pt; text-align: justify;">
<strong><span lang="ES-TRAD" style="color: red; font-size: 13.5pt;">
[+130] + (-200) = (+100) + [-170]</span></strong><span style="color: #414b56; font-family: "arial" , sans-serif; font-size: 10.0pt;"><o:p></o:p></span></div>
<div style="background: white; margin: 0cm 0cm 0.0001pt; text-align: justify;">
<strong><span lang="ES-TRAD" style="color: red; font-size: 13.5pt;">
-70 = -70</span></strong><span style="color: #414b56; font-family: "arial" , sans-serif; font-size: 10.0pt;"><o:p></o:p></span></div>
<div align="center" style="background-color: white; color: #414b56; font-family: Arial, Verdana, sans-serif; font-size: 13.3333px; margin: 0cm 0cm 0pt; text-align: center;">
<span style="text-align: start;">
</span>
</div>
<div style="background: white; margin: 0cm 0cm 0.0001pt; text-align: justify;">
<br /></div>
<div align="center" style="background-color: white; color: #414b56; font-family: Arial, Verdana, sans-serif; font-size: 13.3333px; margin: 0cm 0cm 0pt; text-align: center;">
<br /></div>
<div style="background-color: white; margin: 0cm 0cm 0pt; text-align: left;">
<span style="color: #414b56; font-family: "arial" , "verdana" , sans-serif;"><b>TALLER DE OPERACIONES CON </b></span><span style="color: #414b56; font-family: "arial" , "verdana" , sans-serif;"><b>NÚMEROS</b></span><span style="color: #414b56; font-family: "arial" , "verdana" , sans-serif;"><b> ENTEROS</b></span></div>
<div style="background-color: white; color: #414b56; font-family: Arial, Verdana, sans-serif; font-size: 13.3333px; margin: 0cm 0cm 0pt; text-align: left;">
<b><span style="font-size: 14pt;"><span style="font-size: small;">GRADO 7°</span></span></b></div>
<div style="background-color: white; color: #414b56; font-family: Arial, Verdana, sans-serif; font-size: 13.3333px; margin: 0cm 0cm 0pt;">
<br /></div>
<div style="background-color: white; color: #414b56; font-family: Arial, Verdana, sans-serif; font-size: 13.3333px; margin: 0cm 0cm 0pt 36.75pt;">
<span style="font-size: small;"><span style="font-size: 14pt;">1)<span style="font-family: "times new roman"; font-size: 7pt; font-stretch: normal; line-height: normal;"> </span></span><span style="font-size: 14pt;">(+2) + (–3) + (+3) + (–5) + (–2) = </span></span></div>
<div style="background-color: white; color: #414b56; font-family: Arial, Verdana, sans-serif; font-size: 13.3333px; margin: 0cm 0cm 0pt 18pt;">
<br /></div>
<div style="background-color: white; color: #414b56; font-family: Arial, Verdana, sans-serif; font-size: 13.3333px; margin: 0cm 0cm 0pt 36.75pt;">
<span style="font-size: small;"><span style="font-size: 14pt;">2)<span style="font-family: "times new roman"; font-size: 7pt; font-stretch: normal; line-height: normal;"> </span></span><span style="font-size: 14pt;"> (–2)+(–7)+(+3)+(–4)+(–11)= </span></span></div>
<div style="background-color: white; color: #414b56; font-family: Arial, Verdana, sans-serif; font-size: 13.3333px; margin: 0cm 0cm 0pt;">
<br /></div>
<div style="background-color: white; color: #414b56; font-family: Arial, Verdana, sans-serif; font-size: 13.3333px; margin: 0cm 0cm 0pt 36.75pt;">
<span style="font-size: small;"><span style="font-size: 14pt;">3)<span style="font-family: "times new roman"; font-size: 7pt; font-stretch: normal; line-height: normal;"> </span></span><span style="font-size: 14pt;"> (–7) – (– 4) +(–5) + (–10) + (– 2) – (–13) = </span></span></div>
<div style="background-color: white; color: #414b56; font-family: Arial, Verdana, sans-serif; font-size: 13.3333px; margin: 0cm 0cm 0pt;">
<br /></div>
<div style="background-color: white; color: #414b56; font-family: Arial, Verdana, sans-serif; font-size: 13.3333px; margin: 0cm 0cm 0pt 36.75pt;">
<span style="font-size: small;"><span style="font-size: 14pt;">4)<span style="font-family: "times new roman"; font-size: 7pt; font-stretch: normal; line-height: normal;"> </span></span><span style="font-size: 14pt;"> (+8)–(–4)–(+4)–(+10)–(–5)–(–8) = </span></span></div>
<div style="background-color: white; color: #414b56; font-family: Arial, Verdana, sans-serif; font-size: 13.3333px; margin: 0cm 0cm 0pt;">
<br /></div>
<div style="background-color: white; color: #414b56; font-family: Arial, Verdana, sans-serif; font-size: 13.3333px; margin: 0cm 0cm 0pt 36.75pt;">
<span style="font-size: small;"><span style="font-size: 14pt;">5)<span style="font-family: "times new roman"; font-size: 7pt; font-stretch: normal; line-height: normal;"> </span></span><span style="font-size: 14pt;"> –2 + 8 –8 + 10 –20 + 5 – 7 = </span></span></div>
<div style="background-color: white; color: #414b56; font-family: Arial, Verdana, sans-serif; font-size: 13.3333px; margin: 0cm 0cm 0pt;">
<br /></div>
<div style="background-color: white; color: #414b56; font-family: Arial, Verdana, sans-serif; font-size: 13.3333px; margin: 0cm 0cm 0pt 36.75pt;">
<span style="font-size: small;"><span style="font-size: 14pt;">6)<span style="font-family: "times new roman"; font-size: 7pt; font-stretch: normal; line-height: normal;"> </span></span><span style="font-size: 14pt;"> 9–7+11–20+12–23+5–5–12 = </span></span></div>
<div style="background-color: white; color: #414b56; font-family: Arial, Verdana, sans-serif; font-size: 13.3333px; margin: 0cm 0cm 0pt;">
<br /></div>
<div style="background-color: white; color: #414b56; font-family: Arial, Verdana, sans-serif; font-size: 13.3333px; margin: 0cm 0cm 0pt 36.75pt;">
<span style="font-size: small;"><span style="font-size: 14pt;">7)<span style="font-family: "times new roman"; font-size: 7pt; font-stretch: normal; line-height: normal;"> </span></span><span style="font-size: 14pt;"> 3– { 4 – 7 – [–5–7 + (6 – 7+ 5 ) ] } +8 = </span></span></div>
<div style="background-color: white; color: #414b56; font-family: Arial, Verdana, sans-serif; font-size: 13.3333px; margin: 0cm 0cm 0pt;">
<br /></div>
<div style="background-color: white; color: #414b56; font-family: Arial, Verdana, sans-serif; font-size: 13.3333px; margin: 0cm 0cm 0pt 36.75pt;">
<span style="font-size: small;"><span style="font-size: 14pt;">8)<span style="font-family: "times new roman"; font-size: 7pt; font-stretch: normal; line-height: normal;"> </span></span><span style="font-size: 14pt;"> 5+[–5+10–{2–9+(–8+2)}] – 6 +7 =</span></span></div>
<div style="background-color: white; color: #414b56; font-family: Arial, Verdana, sans-serif; font-size: 13.3333px; margin: 0cm 0cm 0pt;">
<br /></div>
<div style="background-color: white; color: #414b56; font-family: Arial, Verdana, sans-serif; font-size: 13.3333px; margin: 0cm 0cm 0pt 36.75pt;">
<span style="font-size: small;"><span style="font-size: 14pt;">9)<span style="font-family: "times new roman"; font-size: 7pt; font-stretch: normal; line-height: normal;"> </span></span><span style="font-size: 14pt;"> – [ –{ – (–6+5 – 10+3 –15 ) }] = </span></span></div>
<div style="background-color: white; color: #414b56; font-family: Arial, Verdana, sans-serif; font-size: 13.3333px; margin: 0cm 0cm 0pt;">
<br /></div>
<div style="background-color: white; color: #414b56; font-family: Arial, Verdana, sans-serif; font-size: 13.3333px; margin: 0cm 0cm 0pt 36.75pt;">
<span style="font-size: small;"><span style="font-size: 14pt;">10)<span style="font-family: "times new roman"; font-size: 7pt; font-stretch: normal; line-height: normal;"> </span></span><span style="font-size: 14pt;"> – { – [ – ( –20 +15 –7) – 8]– 6 }+7–(–3) = </span></span><br />
<span style="font-size: small;"><span style="font-size: 14pt;"><br /></span></span>
<span style="font-size: small;"><span style="font-size: 14pt;"><br /></span></span>
<span style="font-size: small;"><span style="font-size: 14pt;">Leer detenidamente, dejar comentario, imprimir.</span></span></div>
David montenegrohttp://www.blogger.com/profile/12104593147060605502noreply@blogger.com28tag:blogger.com,1999:blog-2802058073099134395.post-31645940333004321062019-11-09T11:45:00.004-08:002019-11-09T11:47:37.088-08:00TALLER DE ESTADÍSTICA GRADO 9° DAVID<br />
<div class="MsoNormal" style="margin-bottom: .0001pt; margin-bottom: 0cm;">
INSTITUCIÓN
EDUCATIVA CARLOS M SIMMONDS<o:p></o:p></div>
<div class="MsoNormal" style="margin-bottom: .0001pt; margin-bottom: 0cm;">
RECUPERACION ESTADÍSTICA
GRADO 9°<o:p></o:p></div>
<div class="MsoNormal" style="margin-bottom: .0001pt; margin-bottom: 0cm;">
TABLA DE
FRECUENCIA<o:p></o:p></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
Las alturas de los jugadores de un equipo de baloncesto
vienen dadas por la tabla:<o:p></o:p></div>
<div class="MsoNormal">
<br /></div>
<table border="1" cellpadding="0" cellspacing="0" class="MsoTableGrid" style="border-collapse: collapse; border: none; mso-border-alt: solid windowtext .5pt; mso-padding-alt: 0cm 5.4pt 0cm 5.4pt; mso-yfti-tbllook: 1184;">
<tbody>
<tr style="mso-yfti-firstrow: yes; mso-yfti-irow: 0;">
<td style="border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 63.05pt;" valign="top" width="84"><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
Y<sub>I -1<span style="mso-spacerun: yes;"> </span></sub><span style="mso-spacerun: yes;"> </span>Y<sub>I</sub><span style="mso-spacerun: yes;"> </span><o:p></o:p></div>
</td>
<td style="border-left: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 63.05pt;" valign="top" width="84"><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
f<sub>I<o:p></o:p></sub></div>
</td>
<td style="border-left: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 63.05pt;" valign="top" width="84"><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
F<sub>I</sub><o:p></o:p></div>
</td>
<td style="border-left: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 63.05pt;" valign="top" width="84"><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
n<sub>i<o:p></o:p></sub></div>
</td>
<td style="border-left: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 63.05pt;" valign="top" width="84"><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
N<sub>i</sub><o:p></o:p></div>
</td>
<td style="border-left: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 63.05pt;" valign="top" width="84"><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
Y<sub>i<o:p></o:p></sub></div>
</td>
</tr>
<tr style="mso-yfti-irow: 1;">
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 63.05pt;" valign="top" width="84"><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
170 -175<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 63.05pt;" valign="top" width="84"><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
1<o:p></o:p></div>
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<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 63.05pt;" valign="top" width="84"><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<br /></div>
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<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 63.05pt;" valign="top" width="84"><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<br /></div>
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<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 63.05pt;" valign="top" width="84"><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<br /></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 63.05pt;" valign="top" width="84"><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<br /></div>
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<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 63.05pt;" valign="top" width="84"><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
175.1 -180<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 63.05pt;" valign="top" width="84"><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
3<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 63.05pt;" valign="top" width="84"><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<br /></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 63.05pt;" valign="top" width="84"><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<br /></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 63.05pt;" valign="top" width="84"><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<br /></div>
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<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 63.05pt;" valign="top" width="84"><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<br /></div>
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180.1 -185<o:p></o:p></div>
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<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 63.05pt;" valign="top" width="84"><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
4<o:p></o:p></div>
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<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 63.05pt;" valign="top" width="84"><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<br /></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 63.05pt;" valign="top" width="84"><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<br /></div>
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<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 63.05pt;" valign="top" width="84"><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<br /></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 63.05pt;" valign="top" width="84"><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<br /></div>
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185.1 -190<o:p></o:p></div>
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<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 63.05pt;" valign="top" width="84"><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
8<o:p></o:p></div>
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<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 63.05pt;" valign="top" width="84"><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<br /></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 63.05pt;" valign="top" width="84"><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<br /></div>
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<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 63.05pt;" valign="top" width="84"><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<br /></div>
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<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 63.05pt;" valign="top" width="84"><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<br /></div>
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190.1 -195<o:p></o:p></div>
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<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 63.05pt;" valign="top" width="84"><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
5<o:p></o:p></div>
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<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 63.05pt;" valign="top" width="84"><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<br /></div>
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<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 63.05pt;" valign="top" width="84"><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<br /></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 63.05pt;" valign="top" width="84"><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<br /></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 63.05pt;" valign="top" width="84"><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<br /></div>
</td>
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<tr style="mso-yfti-irow: 6; mso-yfti-lastrow: yes;">
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195.1 -200<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 63.05pt;" valign="top" width="84"><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
2<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 63.05pt;" valign="top" width="84"><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<br /></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 63.05pt;" valign="top" width="84"><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<br /></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 63.05pt;" valign="top" width="84"><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<br /></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 63.05pt;" valign="top" width="84"><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<br /></div>
</td>
</tr>
</tbody></table>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
SE PIDE:<o:p></o:p></div>
<div class="MsoNormal">
Completar la tabla de frecuencias<o:p></o:p></div>
<div class="MsoNormal">
Interpretar la tercera fila <o:p></o:p></div>
<div class="MsoNormal">
Realizar el diagrama de barra correspondiente a la
frecuencia absoluta<o:p></o:p></div>
<div class="MsoNormal">
Realizar el diagrama circular<o:p></o:p></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
<span style="mso-spacerun: yes;"> </span>NOTA: Para el
ejercicio en clase llevar los elementos<span style="mso-spacerun: yes;">
</span>requeridos <o:p></o:p></div>
<br />David montenegrohttp://www.blogger.com/profile/12104593147060605502noreply@blogger.com4tag:blogger.com,1999:blog-2802058073099134395.post-51932022464803652912019-11-09T10:46:00.002-08:002019-11-09T17:05:52.715-08:00TALLER GRADO 7° DAVID NUMEROS ENTEROS<br />
<div class="WordSection1">
<div class="MsoNormal" style="margin-bottom: .0001pt; margin-bottom: 0cm;">
INSTITUCIÓN
EDUCATIVA CARLOS M SIMMONDS<o:p></o:p></div>
<div class="MsoNormal" style="margin-bottom: .0001pt; margin-bottom: 0cm;">
NÚMEROS
ENTEROS <o:p></o:p></div>
<div class="MsoNormal" style="margin-bottom: .0001pt; margin-bottom: 0cm;">
TALLER DE
RECUPERACIÓN GRADO 7° <span style="mso-spacerun: yes;"> </span>(justificar)<o:p></o:p></div>
<div class="MsoListParagraph" style="mso-list: l2 level1 lfo1; text-indent: -18.0pt;">
<!--[if !supportLists]--><span style="mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;"><span style="mso-list: Ignore;">1.<span style="font: 7.0pt "Times New Roman";"> 1.. </span></span></span><!--[endif]-->Por la tarde el termómetro de juan marcaba 5° C
y por la noche la temperatura había bajado 8 grados ¿ cuál de estos termómetros
vio juan<span style="mso-spacerun: yes;"> </span>en la noche?<o:p></o:p></div>
<div class="MsoNormal">
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<tbody>
<tr style="mso-yfti-firstrow: yes; mso-yfti-irow: 0;">
<td style="border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 110.35pt;" valign="top" width="147"><div align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;">
Termómetro <span style="mso-spacerun: yes;"> </span>1<o:p></o:p></div>
</td>
<td style="border-left: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 110.35pt;" valign="top" width="147"><div align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;">
Termómetro <span style="mso-spacerun: yes;"> </span>2<o:p></o:p></div>
</td>
<td style="border-left: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 110.35pt;" valign="top" width="147"><div align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;">
Termómetro <span style="mso-spacerun: yes;"> </span>3<o:p></o:p></div>
</td>
<td style="border-left: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 110.35pt;" valign="top" width="147"><div align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;">
Termómetro <span style="mso-spacerun: yes;"> </span>4<o:p></o:p></div>
</td>
</tr>
<tr style="mso-yfti-irow: 1; mso-yfti-lastrow: yes;">
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 110.35pt;" valign="top" width="147"><div align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;">
-1°C<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 110.35pt;" valign="top" width="147"><div align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;">
+2°C<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 110.35pt;" valign="top" width="147"><div align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;">
-3°C<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 110.35pt;" valign="top" width="147"><div align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;">
+2°C<o:p></o:p></div>
</td>
</tr>
</tbody></table>
<div class="MsoNormal">
<br /></div>
<div class="MsoListParagraphCxSpFirst" style="mso-list: l2 level1 lfo1; text-indent: -18.0pt;">
<!--[if !supportLists]--><span style="mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;"><span style="mso-list: Ignore;">2.<span style="font: 7.0pt "Times New Roman";"> 2. </span></span></span><!--[endif]--><span style="mso-spacerun: yes;"> </span>Relaciona
cada situación de la columna de la izquierda con el número que corresponda de
la columna de la derecha<o:p></o:p></div>
<div class="MsoListParagraphCxSpMiddle">
<br /></div>
<div class="MsoListParagraphCxSpMiddle">
<br />
<ul>
<li>perder un punto de nota por mal
comportamiento<span style="mso-tab-count: 3;"> </span>+3</li>
</ul>
<o:p></o:p></div>
<div class="MsoListParagraphCxSpMiddle">
<ul>
<li>excavar cinco metros<span style="mso-tab-count: 7;"> </span>-2<span style="mso-tab-count: 1;"> </span></li>
<li><span style="mso-tab-count: 1;"> </span>trepar u un árbol de tres metros<span style="mso-tab-count: 5;"> </span>-1</li>
</ul>
</div>
<div class="MsoListParagraphCxSpMiddle">
<ul>
<li>bajar al sótano dos<span style="mso-tab-count: 1;"> </span><span style="mso-tab-count: 6;"> - </span>5<span style="mso-tab-count: 2;"> </span></li>
<li>obtener un beneficio cien euros<span style="mso-spacerun: yes;"> </span><span style="mso-tab-count: 5;"> </span>+100</li>
</ul>
</div>
<div class="MsoListParagraphCxSpMiddle">
<o:p></o:p></div>
<div class="MsoListParagraphCxSpMiddle">
<br /></div>
<div class="MsoListParagraphCxSpLast">
<br /></div>
<div class="MsoNormal">
<span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span>3.<span style="mso-tab-count: 1;"> </span><span style="background: #eeeeee; color: #3b3835; font-family: "helvetica" , sans-serif; font-size: 10.5pt; line-height: 107%;"> Al comparar estos números Juan ha
cometido algunos errores. Ayúdale escribiendo correctamente los que haya hecho
mal. <o:p></o:p></span></div>
</div>
<span style="background: #eeeeee; color: #3b3835; font-family: "helvetica" , sans-serif; font-size: 10.5pt; line-height: 107%;"><br clear="all" style="mso-break-type: section-break; page-break-before: auto;" />
</span>
<br />
<div class="WordSection2">
<div class="MsoNormal">
<span style="background: #eeeeee; color: #3b3835; font-family: "helvetica" , sans-serif; font-size: 10.5pt; line-height: 107%;">a) -5 <span style="mso-spacerun: yes;"> </span>> <span style="mso-spacerun: yes;"> </span>-10
<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="background: #eeeeee; color: #3b3835; font-family: "helvetica" , sans-serif; font-size: 10.5pt; line-height: 107%;">c) +13 <span style="mso-spacerun: yes;"> </span>> <span style="mso-spacerun: yes;"> </span>-61 <o:p></o:p></span></div>
<div class="MsoNormal">
<span style="background: #eeeeee; color: #3b3835; font-family: "helvetica" , sans-serif; font-size: 10.5pt; line-height: 107%;">e) +3 <span style="mso-spacerun: yes;"> </span>> <span style="mso-spacerun: yes;"> </span>-3
<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="background: #eeeeee; color: #3b3835; font-family: "helvetica" , sans-serif; font-size: 10.5pt; line-height: 107%;">g) -14 <span style="mso-spacerun: yes;"> </span>> <span style="mso-spacerun: yes;"> </span>-21<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="background: #eeeeee; color: #3b3835; font-family: "helvetica" , sans-serif; font-size: 10.5pt; line-height: 107%;"><span style="mso-spacerun: yes;"> </span>i) -6 <span style="mso-spacerun: yes;"> </span></span><span lang="EN-US" style="background: #eeeeee; color: #3b3835; font-family: "helvetica" , sans-serif; font-size: 10.5pt; line-height: 107%;">> <span style="mso-spacerun: yes;"> </span>+9 <o:p></o:p></span></div>
<div class="MsoNormal">
<span lang="EN-US" style="background: #eeeeee; color: #3b3835; font-family: "helvetica" , sans-serif; font-size: 10.5pt; line-height: 107%;">b) +21 <span style="mso-spacerun: yes;"> </span><<span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span>-17 <o:p></o:p></span></div>
<div class="MsoNormal">
<span lang="EN-US" style="background: #eeeeee; color: #3b3835; font-family: "helvetica" , sans-serif; font-size: 10.5pt; line-height: 107%;">d) -13 <span style="mso-spacerun: yes;"> </span>> <span style="mso-spacerun: yes;"> </span>+1<o:p></o:p></span></div>
<div class="MsoNormal">
<span lang="EN-US" style="background: #eeeeee; color: #3b3835; font-family: "helvetica" , sans-serif; font-size: 10.5pt; line-height: 107%;"><span style="mso-spacerun: yes;"> </span>f) 0 <span style="mso-spacerun: yes;"> </span>< <span style="mso-spacerun: yes;"> </span>-11
<o:p></o:p></span></div>
<div class="MsoNormal">
<span lang="EN-US" style="background: #eeeeee; color: #3b3835; font-family: "helvetica" , sans-serif; font-size: 10.5pt; line-height: 107%;">h) +8 <span style="mso-spacerun: yes;"> </span>> <span style="mso-spacerun: yes;"> </span>0<o:p></o:p></span></div>
<div class="MsoNormal">
<span lang="EN-US" style="background: #eeeeee; color: #3b3835; font-family: "helvetica" , sans-serif; font-size: 10.5pt; line-height: 107%;"><span style="mso-spacerun: yes;"> </span>j) -31 <span style="mso-spacerun: yes;"> </span>> <span style="mso-spacerun: yes;"> </span>-18 <o:p></o:p></span></div>
</div>
<span lang="EN-US" style="background: #eeeeee; color: #3b3835; font-family: "helvetica" , sans-serif; font-size: 10.5pt; line-height: 107%;"><br clear="all" style="mso-break-type: section-break; page-break-before: auto;" />
</span>
<br />
<div class="WordSection3">
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
<span style="background: #eeeeee; color: #3b3835; font-family: "helvetica" , sans-serif; font-size: 10.5pt; line-height: 107%;"><span style="mso-spacerun: yes;"> </span>4.<span style="mso-tab-count: 1;"> </span>
Escribe el signo adecuado (< o >) entre cada par de números enteros.<o:p></o:p></span></div>
</div>
<span style="background: #eeeeee; color: #3b3835; font-family: "helvetica" , sans-serif; font-size: 10.5pt; line-height: 107%;"><br clear="all" style="mso-break-type: section-break; page-break-before: auto;" />
</span>
<br />
<div class="WordSection4">
<div class="MsoNormal">
<span style="background: #eeeeee; color: #3b3835; font-family: "helvetica" , sans-serif; font-size: 10.5pt; line-height: 107%;"><span style="mso-spacerun: yes;"> </span>a) +6 ..... -1 <o:p></o:p></span></div>
<div class="MsoNormal">
<span style="background: #eeeeee; color: #3b3835; font-family: "helvetica" , sans-serif; font-size: 10.5pt; line-height: 107%;">b) -32 ..... -7 <o:p></o:p></span></div>
<div class="MsoNormal">
<span style="background: #eeeeee; color: #3b3835; font-family: "helvetica" , sans-serif; font-size: 10.5pt; line-height: 107%;">c) <span style="mso-spacerun: yes;"> </span>+2 ..... -398 <o:p></o:p></span></div>
<div class="MsoNormal">
<span style="background: #eeeeee; color: #3b3835; font-family: "helvetica" , sans-serif; font-size: 10.5pt; line-height: 107%;">d) <span style="mso-spacerun: yes;"> </span>-9 ..... +7 <o:p></o:p></span></div>
<div class="MsoNormal">
<span style="background: #eeeeee; color: #3b3835; font-family: "helvetica" , sans-serif; font-size: 10.5pt; line-height: 107%;">e) <span style="mso-spacerun: yes;"> </span>+5 ..... -4 <o:p></o:p></span></div>
<div class="MsoNormal">
<span style="background: #eeeeee; color: #3b3835; font-family: "helvetica" , sans-serif; font-size: 10.5pt; line-height: 107%;">f) <span style="mso-spacerun: yes;"> </span>-24 ..... -1 <o:p></o:p></span></div>
<div class="MsoNormal">
<span style="background: #eeeeee; color: #3b3835; font-family: "helvetica" , sans-serif; font-size: 10.5pt; line-height: 107%;">g) <span style="mso-spacerun: yes;"> </span>0 ..... -5<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="background: #eeeeee; color: #3b3835; font-family: "helvetica" , sans-serif; font-size: 10.5pt; line-height: 107%;"><span style="mso-spacerun: yes;"> </span>h) <span style="mso-spacerun: yes;"> </span>+2
..... +8<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="background: #eeeeee; color: #3b3835; font-family: "helvetica" , sans-serif; font-size: 10.5pt; line-height: 107%;"><span style="mso-spacerun: yes;"> </span>i) <span style="mso-spacerun: yes;"> </span>-14
.... -541 <o:p></o:p></span></div>
</div>
<span style="font-family: "calibri" , sans-serif; font-size: 11.0pt; line-height: 107%;"><br clear="all" style="mso-break-type: section-break; page-break-before: auto;" />
</span>
<br />
<div class="MsoNormal">
<br /></div>
<div class="MsoListParagraphCxSpFirst" style="mso-list: l0 level1 lfo3; text-indent: -18.0pt;">
<!--[if !supportLists]--><span style="mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;"><span style="mso-list: Ignore;">5.<span style="font: 7.0pt "Times New Roman";"> 5. </span></span></span><!--[endif]-->Expresa con números enteros las siguientes
situaciones, y señala cuales son enteros positivos y cuales son enteros
negativos<o:p></o:p></div>
<div class="MsoListParagraphCxSpMiddle">
<br /></div>
<div class="MsoListParagraphCxSpMiddle" style="mso-list: l0 level1 lfo3; text-indent: -18.0pt;">
<!--[if !supportLists]--><span style="mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;"><span style="mso-list: Ignore;">6.<span style="font: 7.0pt "Times New Roman";">
</span></span></span><!--[endif]-->a) <span style="mso-tab-count: 1;"> </span>La
temperatura de doce grados bajo cero<o:p></o:p></div>
<div class="MsoListParagraphCxSpMiddle">
b)<span style="mso-tab-count: 1;"> </span>Cinco
metros sobre el nivel del mar<o:p></o:p></div>
<div class="MsoListParagraphCxSpMiddle">
c)<span style="mso-tab-count: 1;"> </span>
la temperatura es de treinta grados bajo cero<o:p></o:p></div>
<div class="MsoListParagraphCxSpMiddle">
d)<span style="mso-tab-count: 1;"> </span>Cuarenta
grados bajo el nivel del mar<o:p></o:p></div>
<div class="MsoListParagraphCxSpMiddle">
e) <span style="mso-tab-count: 1;"> </span>Debe
veinticuatro euros<o:p></o:p></div>
<div class="MsoListParagraphCxSpMiddle">
f) <span style="mso-tab-count: 1;"> </span>Tener
seiscientos euros<o:p></o:p></div>
<div class="MsoListParagraphCxSpMiddle">
<br /></div>
<div class="MsoListParagraphCxSpMiddle">
6.
Ubicar los siguientes números enteros en la recta numérica</div>
<div class="MsoListParagraphCxSpMiddle">
<o:p></o:p></div>
<div class="MsoListParagraphCxSpMiddle">
<br /></div>
<table border="1" cellpadding="0" cellspacing="0" class="MsoTableGrid" style="border-collapse: collapse; border: none; margin-left: 36.0pt; mso-border-alt: solid windowtext .5pt; mso-padding-alt: 0cm 5.4pt 0cm 5.4pt; mso-yfti-tbllook: 1184;">
<tbody>
<tr style="mso-yfti-firstrow: yes; mso-yfti-irow: 0; mso-yfti-lastrow: yes;">
<td style="border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 55.15pt;" valign="top" width="74"><div align="center" class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto; text-align: center;">
-2<o:p></o:p></div>
</td>
<td style="border-left: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 55.15pt;" valign="top" width="74"><div align="center" class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto; text-align: center;">
+4<o:p></o:p></div>
</td>
<td style="border-left: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 55.15pt;" valign="top" width="74"><div align="center" class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto; text-align: center;">
+1<o:p></o:p></div>
</td>
<td style="border-left: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 55.15pt;" valign="top" width="74"><div align="center" class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto; text-align: center;">
-5<o:p></o:p></div>
</td>
<td style="border-left: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 55.2pt;" valign="top" width="74"><div align="center" class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto; text-align: center;">
+3<o:p></o:p></div>
</td>
<td style="border-left: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 55.2pt;" valign="top" width="74"><div align="center" class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto; text-align: center;">
-6<o:p></o:p></div>
</td>
<td style="border-left: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 55.2pt;" valign="top" width="74"><div align="center" class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto; text-align: center;">
-1<o:p></o:p></div>
</td>
<td style="border-left: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 55.2pt;" valign="top" width="74"><div align="center" class="MsoListParagraphCxSpLast" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto; text-align: center;">
-7<o:p></o:p></div>
</td>
</tr>
</tbody></table>
<div class="MsoListParagraph" style="margin-left: 0cm; mso-add-space: auto;">
<br /></div>
<div class="MsoNormal">
<span style="mso-spacerun: yes;"> </span>7.<span style="mso-tab-count: 1;"> </span>con la ayuda de la recta numérica hallar el
resultado de cada una de las siguientes sumas<o:p></o:p></div>
<div class="MsoNormal" style="margin-left: 70.8pt; text-indent: -35.55pt;">
<span style="mso-tab-count: 1;"> </span>a) (-5) +(-9)<o:p></o:p></div>
<div class="MsoNormal" style="margin-left: 70.8pt; text-indent: -35.55pt;">
<span style="mso-tab-count: 1;"> </span>b) (+10) +(-4)<o:p></o:p></div>
<div class="MsoNormal" style="margin-left: 70.8pt; text-indent: -35.55pt;">
<span style="mso-tab-count: 1;"> </span>c) (-3) +(-8)<o:p></o:p></div>
<div class="MsoNormal" style="margin-left: 70.8pt;">
d) (+7) +(- 4)<o:p></o:p></div>
<div class="MsoNormal" style="background: white; mso-background-themecolor: background1;">
<span style="mso-spacerun: yes;"> </span>8.<span style="mso-tab-count: 1;"> </span><span style="background: #eeeeee; color: #3b3835; font-family: "helvetica" , sans-serif; font-size: 10.5pt; line-height: 107%;">Señala cuáles de las siguientes sumas son
incorrectas y corrígelas. <o:p></o:p></span></div>
<div class="MsoListParagraphCxSpFirst" style="background: white; mso-background-themecolor: background1;">
<br /></div>
<div class="MsoListParagraphCxSpLast" style="background: white; margin-left: 54.0pt; mso-add-space: auto; mso-background-themecolor: background1; mso-list: l1 level1 lfo2; text-indent: -18.0pt;">
<!--[if !supportLists]--><span style="color: #3b3835; font-family: "helvetica" , sans-serif; font-size: 10.5pt; line-height: 107%;"><span style="mso-list: Ignore;">a)<span style="font: 7.0pt "Times New Roman";">
</span></span></span><!--[endif]--><span style="background: #eeeeee; color: #3b3835; font-family: "helvetica" , sans-serif; font-size: 10.5pt; line-height: 107%;">(-2) +
(+4) = +2 <o:p></o:p></span></div>
<div class="MsoNormal" style="background: white; mso-background-themecolor: background1;">
<br /></div>
<div class="MsoListParagraphCxSpFirst" style="background: white; margin-left: 54.0pt; mso-add-space: auto; mso-background-themecolor: background1; mso-list: l1 level1 lfo2; text-indent: -18.0pt;">
<!--[if !supportLists]--><span style="color: #3b3835; font-family: "helvetica" , sans-serif; font-size: 10.5pt; line-height: 107%;"><span style="mso-list: Ignore;">b)<span style="font: 7.0pt "Times New Roman";">
</span></span></span><!--[endif]--><span style="background: #eeeeee; color: #3b3835; font-family: "helvetica" , sans-serif; font-size: 10.5pt; line-height: 107%;">(-8) +
(+3) = +5 <o:p></o:p></span></div>
<div class="MsoListParagraphCxSpMiddle" style="background: white; mso-background-themecolor: background1;">
<br /></div>
<div class="MsoListParagraphCxSpMiddle" style="background: white; margin-left: 54.0pt; mso-add-space: auto; mso-background-themecolor: background1;">
<br /></div>
<div class="MsoListParagraphCxSpMiddle" style="background: white; margin-left: 54.0pt; mso-add-space: auto; mso-background-themecolor: background1; mso-list: l1 level1 lfo2; text-indent: -18.0pt;">
<!--[if !supportLists]--><span style="color: #3b3835; font-family: "helvetica" , sans-serif; font-size: 10.5pt; line-height: 107%;"><span style="mso-list: Ignore;">c)<span style="font: 7.0pt "Times New Roman";">
</span></span></span><!--[endif]--><span style="background: #eeeeee; color: #3b3835; font-family: "helvetica" , sans-serif; font-size: 10.5pt; line-height: 107%;">(+5) +
(-12) = -7 <o:p></o:p></span></div>
<div class="MsoListParagraphCxSpMiddle" style="background: white; margin-left: 54.0pt; mso-add-space: auto; mso-background-themecolor: background1;">
<br /></div>
<div class="MsoListParagraphCxSpMiddle" style="background: white; mso-background-themecolor: background1;">
<span style="background: #eeeeee; color: #3b3835; font-family: "helvetica" , sans-serif; font-size: 10.5pt; line-height: 107%;">d) (+4) + (-1) = -3 7 <o:p></o:p></span></div>
<div class="MsoListParagraphCxSpLast" style="background: white; mso-background-themecolor: background1;">
<br /></div>
<div class="MsoNormal" style="background: white; mso-background-themecolor: background1;">
<span style="background: #eeeeee; color: #3b3835; font-family: "helvetica" , sans-serif; font-size: 10.5pt; line-height: 107%;"><span style="mso-spacerun: yes;"> </span>9)<span style="mso-tab-count: 1;"> </span>Calcula las siguientes sumas<o:p></o:p></span></div>
<div class="MsoListParagraphCxSpFirst" style="background: white; mso-background-themecolor: background1;">
<br /></div>
<div class="MsoListParagraphCxSpMiddle" style="background: white; mso-background-themecolor: background1;">
<span style="background: #eeeeee; color: #3b3835; font-family: "helvetica" , sans-serif; font-size: 10.5pt; line-height: 107%;"><span style="mso-spacerun: yes;"> </span>a) <span style="mso-tab-count: 1;"> </span>(+6) + (+5) + (-3) <o:p></o:p></span></div>
<div class="MsoListParagraphCxSpMiddle" style="background: white; mso-background-themecolor: background1;">
<br /></div>
<div class="MsoListParagraphCxSpMiddle" style="background: white; mso-background-themecolor: background1;">
<span style="background: #eeeeee; color: #3b3835; font-family: "helvetica" , sans-serif; font-size: 10.5pt; line-height: 107%;">c) <span style="mso-tab-count: 1;"> </span>(+7)
+ (-4) + (-2)<o:p></o:p></span></div>
<div class="MsoListParagraphCxSpMiddle" style="background: white; mso-background-themecolor: background1;">
<br /></div>
<div class="MsoListParagraphCxSpMiddle" style="background: white; mso-background-themecolor: background1;">
<span style="background: #eeeeee; color: #3b3835; font-family: "helvetica" , sans-serif; font-size: 10.5pt; line-height: 107%;"><span style="mso-spacerun: yes;"> </span>b)<span style="mso-tab-count: 1;"> </span> (-15) + (+8) + (-9) <o:p></o:p></span></div>
<div class="MsoListParagraphCxSpMiddle" style="background: white; mso-background-themecolor: background1;">
<br /></div>
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<!--[if !supportLists]--><span style="color: #3b3835; font-family: "helvetica" , sans-serif; font-size: 10.5pt; line-height: 107%;"><span style="mso-list: Ignore;">d)<span style="font: 7.0pt "Times New Roman";">
</span></span></span><!--[endif]--><span style="background: #eeeeee; color: #3b3835; font-family: "helvetica" , sans-serif; font-size: 10.5pt; line-height: 107%;"><span style="mso-spacerun: yes;"> </span>(-9) + (+13) + (-3) + (-1) <o:p></o:p></span></div>
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<br />David montenegrohttp://www.blogger.com/profile/12104593147060605502noreply@blogger.com13tag:blogger.com,1999:blog-2802058073099134395.post-56334867239227126772019-11-09T08:35:00.002-08:002019-11-09T11:57:28.574-08:00TALLER NÚMEROS NATURALES GRADO 6° DAVID<br />
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<span style="font-family: "arial" , sans-serif; font-size: 12.0pt;"><br /></span></div>
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<span style="background-color: transparent; font-size: 13.3333px;"><span style="font-family: "arial" , sans-serif;">INSTITUCIÓN</span></span><span style="font-family: "arial" , sans-serif; font-size: 10.0pt;"> EDUCATIVA CARLOS M SIMMONDS<o:p></o:p></span></div>
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<span style="background-color: transparent; font-size: 13.3333px;"><span style="font-family: "arial" , sans-serif;">NÚMEROS</span></span><span style="font-family: "arial" , sans-serif; font-size: 10.0pt;"> NATURALES<o:p></o:p></span></div>
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<span style="font-family: "arial" , sans-serif;"><span style="font-size: 10pt;">TALLER DE </span><span style="font-size: 13.3333px;">RECUPERACIÓN</span><span style="font-size: 10pt;">, NOVIEMBRE 11 DE 2019 <o:p></o:p></span></span></div>
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<span style="font-family: "arial" , sans-serif;"><span style="font-size: 10pt;">GRADO 6° </span><span style="font-size: 13.3333px;">SOLUCIÓN</span><span style="font-size: 10pt;"> DE PROBLEMAS<o:p></o:p></span></span></div>
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</div>
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<span style="font-family: "arial" , sans-serif; font-size: 12.0pt;">Encerrar
en un círculo la respuesta correcta (justificar)<o:p></o:p></span></div>
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<span style="font-family: "arial" , sans-serif; font-size: 12.0pt;"><br /></span></div>
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<br /></div>
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<span style="font-family: "arial" , sans-serif; font-size: 12.0pt;"><br /></span></div>
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<span style="font-family: "arial" , sans-serif; font-size: 12.0pt;">1<span style="mso-tab-count: 1;"> </span>. En una escuela se inscribieron el
primer día 2/5 del total de alumnos, el segundo día ¼ ¿Qué <o:p></o:p></span></div>
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<span style="font-family: "arial" , sans-serif; font-size: 12.0pt;">fracción
del total de alumnos se inscribieron en los dos días?<o:p></o:p></span></div>
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<br /></div>
</div>
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</span>
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<span style="font-family: "arial" , sans-serif; font-size: 12.0pt;">a) 11/20<o:p></o:p></span></div>
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<span style="font-family: "arial" , sans-serif; font-size: 12.0pt;">b) 12/20<o:p></o:p></span></div>
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<span style="font-family: "arial" , sans-serif; font-size: 12.0pt;">c) 13/20<o:p></o:p></span></div>
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<span style="font-family: "arial" , sans-serif; font-size: 12.0pt;">d) 14/2<o:p></o:p></span></div>
</div>
<span style="font-family: "calibri" , sans-serif; font-size: 11.0pt; line-height: 107%;"><br clear="all" style="mso-break-type: section-break; page-break-before: auto;" />
</span>
<br />
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<span style="font-family: "arial" , sans-serif; font-size: 12.0pt;">2.<span style="mso-tab-count: 1;"> </span>Es el resultado correcto de la
siguiente potencia desarrollada<o:p></o:p></span></div>
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<span style="font-family: "arial" , sans-serif; font-size: 12.0pt;">:<o:p></o:p></span></div>
</div>
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<span style="font-family: "arial" , sans-serif; font-size: 12.0pt;">a) 19<sup>0</sup>=
0<o:p></o:p></span></div>
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<span style="font-family: "arial" , sans-serif; font-size: 12.0pt;">b) </span><span style="font-family: "arial" , sans-serif; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CO;">19<sup>0</sup>= 1<o:p></o:p></span></div>
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<span style="font-family: "arial" , sans-serif; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CO;">c) 19<sup>0</sup>=
19<o:p></o:p></span></div>
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<span style="font-family: "arial" , sans-serif; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CO;">d) 19<sup>0</sup>=
190<o:p></o:p></span></div>
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<span style="font-family: "arial" , sans-serif;">3.<span style="mso-tab-count: 1;"> </span>Un depósito contiene 2950 litros de
petróleo. Por un incendio se consumen 1749.36 litros <o:p></o:p></span></div>
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<span style="font-family: "arial" , sans-serif;">¿Cuánto
combustible queda?<o:p></o:p></span></div>
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<span style="font-family: "arial" , sans-serif;">a)
1200.64 Lts.<o:p></o:p></span></div>
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<span style="font-family: "arial" , sans-serif;">b)
1300.34 Lts.<o:p></o:p></span></div>
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<span style="font-family: "arial" , sans-serif;">c)
1100.74 Lts.<o:p></o:p></span></div>
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<span style="font-family: "arial" , sans-serif;">d)
11</span><span lang="EN-US" style="font-family: "arial" , sans-serif; mso-ansi-language: EN-US;">00.04 Lt<o:p></o:p></span></div>
</div>
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</span>
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<span style="font-family: "arial" , sans-serif; font-size: 12.0pt;">.<o:p></o:p></span></div>
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<span style="font-family: "arial" , sans-serif; font-size: 12.0pt;">4.<span style="mso-tab-count: 1;"> </span>Es el dinero que le quedo a Miguel,
tenía ahorrado 20.000 dólares y le pago a Juan 1800 que le debía, también gasto
el doble del dinero que le debía a Juan en la compra de un mueble, además,
adquirió una bicicleta en tres veces lo que le costó el mueble.<o:p></o:p></span></div>
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<br /></div>
</div>
<span style="font-family: "arial" , sans-serif; font-size: 12.0pt;"><br clear="all" style="mso-break-type: section-break; page-break-before: auto;" />
</span>
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<span style="font-family: "arial" , sans-serif; font-size: 12.0pt;">a)
3,800.00<o:p></o:p></span></div>
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<span style="font-family: "arial" , sans-serif; font-size: 12.0pt;">b)
9,000.00<o:p></o:p></span></div>
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<span style="font-family: "arial" , sans-serif; font-size: 12.0pt;">c)
9,200.00<o:p></o:p></span></div>
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<span style="font-family: "arial" , sans-serif; font-size: 12.0pt;">d) 14,600.00<o:p></o:p></span></div>
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<br /></div>
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<span style="font-family: "arial" , sans-serif; font-size: 12.0pt;">.5.<span style="mso-tab-count: 1;"> </span>Un pesista realiza tres levantamientos.
El primero de 87,55 kg, el segundo de 93,725k<o:p></o:p></span></div>
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<span style="font-family: "arial" , sans-serif; font-size: 12.0pt;">g, y el
último de 97,8 kg. ¿Cuántos kg levantó en total?<o:p></o:p></span></div>
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<br /></div>
</div>
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</span>
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<span lang="EN-US" style="font-family: "arial" , sans-serif; font-size: 12.0pt;">a) 279,175 kg<o:p></o:p></span></div>
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<span lang="EN-US" style="font-family: "arial" , sans-serif; font-size: 12.0pt;">b) 279,275 kg<o:p></o:p></span></div>
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<span lang="EN-US" style="font-family: "arial" , sans-serif; font-size: 12.0pt;">b) 279, 075 kg<o:p></o:p></span></div>
<div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span lang="EN-US" style="font-family: "arial" , sans-serif; font-size: 12.0pt;">d) 279,375 kg<o:p></o:p></span></div>
</div>
<span lang="EN-US" style="font-family: "arial" , sans-serif; font-size: 12.0pt;"><br clear="all" style="mso-break-type: section-break; page-break-before: auto;" />
</span>
<br />
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<div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<br /></div>
<div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="font-family: "arial" , sans-serif; font-size: 12.0pt;">6.<span style="mso-tab-count: 1;"> </span>Ana tiene 3 blusas (azul, blanca y
café) y dos faldas (roja y negra). ¿De cuántas formas puede vestirse?<o:p></o:p></span></div>
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<br /></div>
</div>
<span style="font-family: "arial" , sans-serif; font-size: 12.0pt;"><br clear="all" style="mso-break-type: section-break; page-break-before: auto;" />
</span>
<br />
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<div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="font-family: "arial" , sans-serif; font-size: 12.0pt;">a) 6
formas<o:p></o:p></span></div>
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<span style="font-family: "arial" , sans-serif; font-size: 12.0pt;">b) 5
formas<o:p></o:p></span></div>
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<span style="font-family: "arial" , sans-serif; font-size: 12.0pt;">c) 12
formas<o:p></o:p></span></div>
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<span style="font-family: "arial" , sans-serif; font-size: 12.0pt;">d) 10
formas<o:p></o:p></span></div>
</div>
<span lang="EN-US" style="font-family: "arial" , sans-serif; font-size: 12.0pt;"><br clear="all" style="mso-break-type: section-break; page-break-before: auto;" />
</span>
<br />
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<br /></div>
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<span style="font-family: "arial" , sans-serif;">7.<span style="mso-tab-count: 1;"> </span>Un chef repartirá 9,5 Kg. De carne entre
100 platos. ¿Cuánta carne repartirá en cada plato?<o:p></o:p></span></div>
</div>
<span lang="EN-US" style="font-family: "arial" , sans-serif; font-size: 11.0pt; line-height: 107%;"><br clear="all" style="mso-break-type: section-break; page-break-before: auto;" />
</span>
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<div class="MsoNormal" style="background: white;">
<span lang="EN-US" style="font-family: "arial" , sans-serif; mso-ansi-language: EN-US;">a) 0,0590 kg<o:p></o:p></span></div>
<div class="MsoNormal" style="background: white;">
<span lang="EN-US" style="font-family: "arial" , sans-serif; mso-ansi-language: EN-US;">b) 0,095 kg<o:p></o:p></span></div>
<div class="MsoNormal" style="background: white;">
<span lang="EN-US" style="font-family: "arial" , sans-serif; mso-ansi-language: EN-US;">c) 0,059 kg<o:p></o:p></span></div>
<div class="MsoNormal" style="background: white;">
<span lang="EN-US" style="font-family: "arial" , sans-serif; mso-ansi-language: EN-US;">c) 0,590 kg<o:p></o:p></span></div>
</div>
<span lang="EN-US" style="font-family: "arial" , sans-serif; font-size: 11.0pt; line-height: 107%;"><br clear="all" style="mso-break-type: section-break; page-break-before: auto;" />
</span>
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<div class="MsoNormal" style="background: white;">
<span style="font-family: "arial" , sans-serif;">8.<span style="mso-tab-count: 1;"> </span>En un balneario hay 100 personas: 20 de
ellas están nadando. En total son 25 niños. Si 60 adultos no nadan. ¿Cuál es la
cantidad de niños que están dentro de la piscina?<o:p></o:p></span></div>
</div>
<span style="font-family: "arial" , sans-serif; font-size: 11.0pt; line-height: 107%;"><br clear="all" style="mso-break-type: section-break; page-break-before: auto;" />
</span>
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<div class="MsoNormal" style="background: white;">
<span style="font-family: "arial" , sans-serif;">a)
1 niño<o:p></o:p></span></div>
<div class="MsoNormal" style="background: white;">
<span style="font-family: "arial" , sans-serif;">b)
3 niños<o:p></o:p></span></div>
<div class="MsoNormal" style="background: white;">
<span style="font-family: "arial" , sans-serif;">c)
5 niños<o:p></o:p></span></div>
<div class="MsoNormal" style="background: white;">
<span style="font-family: "arial" , sans-serif;">c)
7 niños<o:p></o:p></span></div>
</div>
<span style="font-family: "arial" , sans-serif; font-size: 12.0pt;"><br clear="all" style="mso-break-type: section-break; page-break-before: auto;" />
</span>
<br />
<div class="WordSection17">
<div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="font-family: "arial" , sans-serif; font-size: 12.0pt;">9.<span style="mso-tab-count: 1;"> </span>Un tiburón mide 3,49 mts. De largo y
una ballena 4 veces el largo del tiburón más 0,27 mts. ¿Cuánto mide la ballena?<o:p></o:p></span></div>
<div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<br /></div>
</div>
<span style="font-family: "arial" , sans-serif; font-size: 12.0pt;"><br clear="all" style="mso-break-type: section-break; page-break-before: auto;" />
</span>
<br />
<div class="WordSection18">
<div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span lang="EN-US" style="font-family: "arial" , sans-serif; font-size: 12.0pt;">a) 14,23 mts.<o:p></o:p></span></div>
<div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span lang="EN-US" style="font-family: "arial" , sans-serif; font-size: 12.0pt;">b) 13,23 mts.<o:p></o:p></span></div>
<div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span lang="EN-US" style="font-family: "arial" , sans-serif; font-size: 12.0pt;">c) 12,23 mts<o:p></o:p></span></div>
<div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="font-family: "arial" , sans-serif; font-size: 12.0pt;">d) 11,23
mts.<o:p></o:p></span></div>
</div>
<span style="font-family: "arial" , sans-serif; font-size: 12.0pt;"><br clear="all" style="mso-break-type: section-break; page-break-before: auto;" />
</span>
<br />
<div class="WordSection19">
<div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<br /></div>
<div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="font-family: "arial" , sans-serif; font-size: 12.0pt;">.10.<span style="mso-tab-count: 1;"> </span>Un laboratorio farmacéutico utiliza 0,0025
g de sustancia activa para elaborar una pastilla y cuenta con 32,850 g de esa
sustancia. ¿Cuántas <o:p></o:p></span></div>
<div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="font-family: "arial" , sans-serif; font-size: 12.0pt;">pastillas
podrá elaborar con esa cantidad de sustancia?<o:p></o:p></span></div>
<div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<br /></div>
</div>
<span style="font-family: "arial" , sans-serif; font-size: 12.0pt;"><br clear="all" style="mso-break-type: section-break; page-break-before: auto;" />
</span>
<br />
<div class="WordSection20">
<div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="font-family: "arial" , sans-serif; font-size: 12.0pt;">a) 12140<o:p></o:p></span></div>
<div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="font-family: "arial" , sans-serif; font-size: 12.0pt;">b) 13140<o:p></o:p></span></div>
<div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="font-family: "arial" , sans-serif; font-size: 12.0pt;">c) 14140<o:p></o:p></span></div>
<div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="font-family: "arial" , sans-serif; font-size: 12.0pt;">d) 15140<o:p></o:p></span></div>
</div>
<span style="font-family: "arial" , sans-serif; font-size: 12.0pt;"><br clear="all" style="mso-break-type: section-break; page-break-before: auto;" />
</span>
<br />
<div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<br /></div>
<br />David montenegrohttp://www.blogger.com/profile/12104593147060605502noreply@blogger.com0tag:blogger.com,1999:blog-2802058073099134395.post-69818090136708181932019-08-15T06:03:00.001-07:002019-08-15T06:06:45.822-07:00TALLER DE RECUPERACIÓN MATEMÁTICAS 6° DAVID<br />
<div class="MsoListParagraphCxSpFirst" style="mso-list: l1 level1 lfo2; text-indent: -18.0pt;">
<!--[if !supportLists]--><span style="mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;"><span style="mso-list: Ignore;">1.<span style="font: 7.0pt "Times New Roman";">
</span></span></span><!--[endif]-->Indique la propiedad aplicada en cada caso y
halle la suma.<o:p></o:p></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 53.4pt; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -18.0pt;">
<!--[if !supportLists]--><span style="mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;"><span style="mso-list: Ignore;">a-<span style="font: 7.0pt "Times New Roman";">
</span></span></span><!--[endif]--><span style="mso-spacerun: yes;"> </span>+ (13 +9)
= (12 + 13) +9<o:p></o:p></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 53.4pt; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -18.0pt;">
<!--[if !supportLists]--><span style="mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;"><span style="mso-list: Ignore;">b-<span style="font: 7.0pt "Times New Roman";">
</span></span></span><!--[endif]--><span style="mso-spacerun: yes;"> </span>b- 23 +
15 = 15 + 23 <o:p></o:p></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 53.4pt; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -18.0pt;">
<!--[if !supportLists]--><span style="mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;"><span style="mso-list: Ignore;">c-<span style="font: 7.0pt "Times New Roman";">
</span></span></span><!--[endif]-->c- (8+12)+ 4 = 4 +(8+12) <o:p></o:p></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 53.4pt; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -18.0pt;">
<!--[if !supportLists]--><span style="mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;"><span style="mso-list: Ignore;">d-<span style="font: 7.0pt "Times New Roman";">
</span></span></span><!--[endif]-->d- 17+0 = 17<o:p></o:p></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 53.4pt; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -18.0pt;">
<!--[if !supportLists]--><span style="mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;"><span style="mso-list: Ignore;">e-<span style="font: 7.0pt "Times New Roman";">
</span></span></span><!--[endif]--><span style="mso-spacerun: yes;"> </span>e-
(3+2)+(4+9) = (3+2+4)+9<o:p></o:p></div>
<div class="MsoListParagraphCxSpMiddle">
<br /></div>
<div class="MsoListParagraphCxSpLast" style="mso-list: l1 level1 lfo2; text-indent: -18.0pt;">
<!--[if !supportLists]--><span style="mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;"><span style="mso-list: Ignore;">2.<span style="font: 7.0pt "Times New Roman";">
</span></span></span><!--[endif]--><span style="mso-spacerun: yes;"> </span>Un
colegio tiene 35 estudiantes por cada profesor. Si hay en total 350
estudiantes. ¿cuántos profesores debe haber en el colegio?<o:p></o:p></div>
<div class="MsoListParagraphCxSpLast" style="mso-list: l1 level1 lfo2; text-indent: -18.0pt;">
<br /></div>
<div class="MsoNormal" style="margin-left: 18.0pt;">
3.<span style="mso-spacerun: yes;"> </span><span style="mso-tab-count: 1;"> </span><span style="mso-spacerun: yes;"> </span>si a = 1340 b = 3680 y c = 7235 compruebe que:<o:p></o:p></div>
<div class="MsoNormal" style="margin-left: 18.0pt;">
a- La adición en <span style="font-family: "cambria math" , serif; mso-bidi-font-family: "Cambria Math";">ℕ</span>
es conmutativa a+b = b+a <o:p></o:p></div>
<div class="MsoNormal" style="text-indent: 18.0pt;">
b- La adición en <span style="font-family: "cambria math" , serif; mso-bidi-font-family: "Cambria Math";">ℕ</span>
es asociativa (a+b) + c = a + (b+c)<o:p></o:p></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal" style="margin-left: 39.75pt; text-indent: -19.5pt;">
4.<span style="mso-tab-count: 1;"> </span>Tres números suman 7687, el mayor de todos
es 3451 y la diferencia entre el mayor y el que le sigue es 560. ¿Cuáles son
los números?<o:p></o:p></div>
<div class="MsoNormal" style="margin-left: 39.75pt; text-indent: -19.5pt;">
<br /></div>
<div class="MsoNormal">
<span style="mso-spacerun: yes;"> </span>5<span style="mso-tab-count: 1;"> </span>calcule el valor de cada una de las
expresiones numéricas.<o:p></o:p></div>
<div class="MsoNormal">
<span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span>a.<span style="mso-tab-count: 1;"> </span> 4 x [2 + 5 <span style="font-family: "symbol"; mso-ascii-font-family: Calibri; mso-ascii-theme-font: minor-latin; mso-char-type: symbol; mso-hansi-font-family: Calibri; mso-hansi-theme-font: minor-latin; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">¸</span></span> (4 + 1) – (3 <span style="font-family: "symbol"; mso-ascii-font-family: Calibri; mso-ascii-theme-font: minor-latin; mso-char-type: symbol; mso-hansi-font-family: Calibri; mso-hansi-theme-font: minor-latin; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">¸</span></span> 3) x 2] + 6<o:p></o:p></div>
<div class="MsoNormal">
<span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span>b. <span style="mso-tab-count: 1;"> </span>90 <span style="font-family: "symbol"; mso-ascii-font-family: Calibri; mso-ascii-theme-font: minor-latin; mso-char-type: symbol; mso-hansi-font-family: Calibri; mso-hansi-theme-font: minor-latin; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">¸</span></span>
6 – 2 + {3 x (5 + 1) – (8 – 4) + 3}<o:p></o:p></div>
<div class="MsoNormal">
<span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span>c.<span style="mso-tab-count: 1;"> </span>
28 – [7 x (3 + 4) <span style="font-family: "symbol"; mso-ascii-font-family: Calibri; mso-ascii-theme-font: minor-latin; mso-char-type: symbol; mso-hansi-font-family: Calibri; mso-hansi-theme-font: minor-latin; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">¸</span></span> (14 <span style="font-family: "symbol"; mso-ascii-font-family: Calibri; mso-ascii-theme-font: minor-latin; mso-char-type: symbol; mso-hansi-font-family: Calibri; mso-hansi-theme-font: minor-latin; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">¸</span></span> 2) + 16]<span style="mso-tab-count: 1;"> </span></div>
<div class="MsoNormal">
<span style="mso-tab-count: 1;"><br /></span></div>
<div class="MsoNormal">
<span style="mso-tab-count: 1;"> </span><span style="text-indent: 35.4pt;">6.</span><span style="text-indent: 35.4pt;"> </span><span style="text-indent: 35.4pt;">Resuelva cada ecuación:</span></div>
<div class="MsoNormal" style="text-indent: 35.4pt;">
<o:p></o:p></div>
<div class="MsoNormal" style="text-indent: 35.4pt;">
a. N <span style="font-family: "symbol"; mso-ascii-font-family: Calibri; mso-ascii-theme-font: minor-latin; mso-char-type: symbol; mso-hansi-font-family: Calibri; mso-hansi-theme-font: minor-latin; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">¸</span></span>3 = 12<o:p></o:p></div>
<div class="MsoNormal" style="margin-top: 12.0pt; text-indent: 35.4pt;">
b. 25 x Y = 75</div>
<div class="MsoNormal" style="margin-top: 12.0pt; text-indent: 35.4pt;">
<span style="text-indent: 35.4pt;">7 </span><span style="text-indent: 35.4pt;">Calcule los siguientes logaritmos:</span></div>
<div class="MsoNormal" style="margin-top: 12.0pt; text-indent: 35.4pt;">
<o:p></o:p></div>
<div class="MsoListParagraphCxSpFirst" style="margin-bottom: .0001pt; margin-bottom: 0cm; margin-left: 25.1pt; margin-right: 0cm; margin-top: 12.0pt; mso-add-space: auto; mso-list: l2 level1 lfo3; text-indent: -18.0pt;">
<!--[if !supportLists]--><span style="mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;"><span style="mso-list: Ignore;"> a.<span style="font: 7.0pt "Times New Roman";">
</span></span></span><!--[endif]--><span style="mso-spacerun: yes;"> </span>log<sub>3</sub>
(27 x 9)<o:p></o:p></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-bottom: .0001pt; margin-bottom: 0cm; margin-left: 25.1pt; margin-right: 0cm; margin-top: 12.0pt; mso-add-space: auto; mso-list: l2 level1 lfo3; text-indent: -18.0pt;">
<!--[if !supportLists]--><span style="mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;"><span style="mso-list: Ignore;"> b.<span style="font: 7.0pt "Times New Roman";">
</span></span></span><!--[endif]--><span style="mso-spacerun: yes;"> </span>log<sub>9</sub>
(81 x 9) <o:p></o:p></div>
<div class="MsoListParagraphCxSpLast" style="margin-bottom: .0001pt; margin-bottom: 0cm; margin-left: 25.1pt; margin-right: 0cm; margin-top: 12.0pt; mso-add-space: auto; mso-list: l2 level1 lfo3; text-indent: -18.0pt;">
<!--[if !supportLists]--><span style="mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;"><span style="mso-list: Ignore;"> c.<span style="font: 7.0pt "Times New Roman";">
</span></span></span><!--[endif]--><span style="mso-spacerun: yes;"> </span>log<sub>7</sub>
495<o:p></o:p></div>
<div class="MsoNormal" style="margin-bottom: .0001pt; margin-bottom: 0cm; margin-left: 0cm; margin-right: 0cm; margin-top: 12.0pt;">
<span style="mso-spacerun: yes;"> </span>d<span style="mso-spacerun: yes;"> </span>log<sub>3</sub> 243<sup>2<o:p></o:p></sup></div>
<div class="MsoNormal" style="margin-top: 12.0pt;">
<span style="font-size: 12.0pt; line-height: 107%;"> e<span style="mso-tab-count: 1;"> </span>log</span><sub><span style="font-size: 16.0pt; line-height: 107%;">2</span></sub><sub><span style="font-size: 16.0pt; line-height: 107%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;">[25/5]</span></sub><sub><span style="font-size: 16.0pt; line-height: 107%;"><o:p></o:p></span></sub></div>
<div class="MsoNormal" style="margin-top: 12.0pt; text-indent: 35.4pt;">
<br /></div>
<div class="MsoNormal" style="text-indent: 35.4pt;">
<br /></div>
<br />David montenegrohttp://www.blogger.com/profile/12104593147060605502noreply@blogger.com1tag:blogger.com,1999:blog-2802058073099134395.post-72451818777550211822019-08-14T22:19:00.001-07:002019-08-15T06:05:05.139-07:00RADICACION GRADO 6° DAVID<br />
<br />
<br />
1. resolver ubicando los valores correspondientes<br />
<br />
<img alt="Resultado de imagen para TALLER DE POTENCIACION Y RADICACION DE MATEMATICAS DE NUMEROS NATURALES PARA IMPRIMIR" src="https://recursosdidacticos.org/wp-content/uploads/2019/03/ejercicios-de-potenciacion-y-radicacion-1-300x292.jpg" /><br />
<br />David montenegrohttp://www.blogger.com/profile/12104593147060605502noreply@blogger.com0tag:blogger.com,1999:blog-2802058073099134395.post-72413081557662475932019-08-14T21:28:00.003-07:002019-08-15T05:59:57.493-07:00NÚMEROS NATURALES GRADO 6° DAVID<br />
<div class="MsoNormal" style="margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="background: white; color: #222222; font-family: "helvetica" , sans-serif; font-size: 10.0pt; line-height: 107%;">INSTITUCION EDUCATIVA CARLOS M SIMMONDS<o:p></o:p></span></div>
<div class="MsoNormal" style="margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="background: white; color: #222222; font-family: "helvetica" , sans-serif; font-size: 10.0pt; line-height: 107%;"><span style="mso-spacerun: yes;"> </span>RECUPERACION SOLUCION DE PROBLEMAS<o:p></o:p></span></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoListParagraph" style="mso-list: l0 level1 lfo1; text-indent: -18.0pt;">
<!--[if !supportLists]--><span style="color: #222222; font-family: "helvetica" , sans-serif; line-height: 107%;"><span style="font-size: 10pt;">1.</span><span style="font: 7pt "Times New Roman";"> </span><span style="font-family: "times new roman"; font-stretch: normal; font-style: normal; font-variant: normal; font-weight: normal; line-height: normal;"> 1.</span></span><!--[endif]--><span style="background: white; color: #222222; font-family: "helvetica" , sans-serif; font-size: 10.0pt; line-height: 107%;">Con el dinero que tengo y 247 € más, podría
pagar una deuda de 525 € y me sobrarían 37 €. ¿Cuánto dinero tengo?<o:p></o:p></span></div>
<div class="MsoListParagraph" style="mso-list: l0 level1 lfo1; text-indent: -18.0pt;">
<span style="background: white; color: #222222; font-family: "helvetica" , sans-serif; font-size: 10.0pt; line-height: 107%;"><br /></span></div>
<div style="background: white; margin-left: 36.0pt; mso-list: l0 level1 lfo1; text-indent: -18.0pt;">
<!--[if !supportLists]--><span style="color: #222222; font-family: "helvetica" , sans-serif; font-size: 10.0pt;"><span style="mso-list: Ignore;">2.<span style="font: 7.0pt "Times New Roman";">
</span></span></span><!--[endif]--><span style="color: #222222; font-family: "helvetica" , sans-serif; font-size: 10.0pt;">Dados los números 5, 7 y 9:<o:p></o:p></span></div>
<div style="background: white; margin-bottom: .0001pt; margin: 0cm;">
<span class="num-subej"><b><span style="background: #f7f7f7; color: #222222; font-family: "helvetica" , sans-serif; font-size: 10.0pt;">a.</span></b></span><span style="color: #222222; font-family: "helvetica" , sans-serif; font-size: 10.0pt;"> forma todos los
números posibles de tres cifras distintas.<o:p></o:p></span></div>
<div style="background: white; margin-bottom: .0001pt; margin: 0cm;">
<span class="num-subej"><b><span style="background: #f7f7f7; color: #222222; font-family: "helvetica" , sans-serif; font-size: 10.0pt;">b.</span></b></span><span style="color: #222222; font-family: "helvetica" , sans-serif; font-size: 10.0pt;"> ordénalos de
menor a mayor.<o:p></o:p></span></div>
<div style="background: white; margin-bottom: .0001pt; margin: 0cm;">
<span class="num-subej"><b><span style="background: #f7f7f7; color: #222222; font-family: "helvetica" , sans-serif; font-size: 10.0pt;">c.</span></b></span><span style="color: #222222; font-family: "helvetica" , sans-serif; font-size: 10.0pt;"> súmalos.<o:p></o:p></span></div>
<div style="background: white; margin-bottom: .0001pt; margin: 0cm;">
<span style="color: #222222; font-family: "helvetica" , sans-serif; font-size: 10.0pt;"><br /></span></div>
<div style="background: white; margin-left: 36.0pt; mso-list: l0 level1 lfo1; text-indent: -18.0pt;">
<!--[if !supportLists]--><span style="color: #222222; font-family: "helvetica" , sans-serif; font-size: 10.0pt;"><span style="mso-list: Ignore;">3.<span style="font: 7.0pt "Times New Roman";">
</span></span></span><!--[endif]--><span style="background: white; color: #222222; font-family: "helvetica" , sans-serif; font-size: 10.0pt;">Pedro compró una finca por 643 750 € y la
vendió ganando 75 250 €. ¿Por cuánto lo vendió?</span><span style="color: #222222; font-family: "helvetica" , sans-serif; font-size: 10.0pt;"><o:p></o:p></span></div>
<div style="background: white; margin-left: 36.0pt; mso-list: l0 level1 lfo1; text-indent: -18.0pt;">
<span style="background: white; color: #222222; font-family: "helvetica" , sans-serif; font-size: 10.0pt;"><br /></span></div>
<div class="MsoListParagraphCxSpFirst" style="background: white; line-height: normal; mso-add-space: auto; mso-list: l0 level1 lfo1; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-indent: -18.0pt;">
<!--[if !supportLists]--><span style="color: #222222; font-family: "helvetica" , sans-serif;"><span style="font-size: 10pt;">4.</span><span style="font: 7pt "Times New Roman";"> </span><span style="font-family: "times new roman"; font-stretch: normal; font-style: normal; font-variant: normal; font-weight: normal; line-height: normal;">4 </span><span style="font: 7pt "Times New Roman";"> </span></span><!--[endif]--><span style="color: #222222; font-family: "helvetica" , sans-serif; font-size: 10.0pt;">En una urbanización
viven 4 500 personas y hay un árbol por cada 90 habitantes.<o:p></o:p></span></div>
<div class="MsoListParagraphCxSpMiddle" style="background: white; line-height: normal; mso-add-space: auto; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<b><span style="background: #f7f7f7; color: #222222; font-family: "helvetica" , sans-serif; font-size: 10.0pt;">a.</span></b><span style="color: #222222; font-family: "helvetica" , sans-serif; font-size: 10.0pt;"> ¿Cuántos
árboles hay en la urbanización?<o:p></o:p></span></div>
<div class="MsoListParagraphCxSpLast" style="background: white; line-height: normal; mso-add-space: auto; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<b><span style="background: #f7f7f7; color: #222222; font-family: "helvetica" , sans-serif; font-size: 10.0pt;">b.</span></b><span style="color: #222222; font-family: "helvetica" , sans-serif; font-size: 10.0pt;"> ¿Cuántos
árboles habrá que plantar para tener un árbol por cada 12 personas?<o:p></o:p></span></div>
<div class="MsoListParagraphCxSpLast" style="background: white; line-height: normal; mso-add-space: auto; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span style="color: #222222; font-family: "helvetica" , sans-serif; font-size: 10.0pt;"><br /></span></div>
<div class="MsoNormal" style="background: white; line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span style="color: #222222; font-family: "helvetica" , sans-serif; font-size: 10.0pt;"><span style="mso-tab-count: 1;">5 </span>Al
subir una montaña la temperatura baja 5ºC cada 300 metros.<o:p></o:p></span></div>
<div class="MsoListParagraphCxSpFirst" style="background: white; line-height: normal; mso-add-space: auto; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span style="color: #222222; font-family: "helvetica" , sans-serif; font-size: 10.0pt;">En la base de la
montaña la temperatura es de 20ºC. La montaña<o:p></o:p></span></div>
<div class="MsoListParagraphCxSpMiddle" style="background: white; line-height: normal; mso-add-space: auto; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span style="color: #222222; font-family: "helvetica" , sans-serif; font-size: 10.0pt;">tiene una altura
aproximada de 2.500 m. ¿Cuál será la temperatura a<o:p></o:p></span></div>
<div class="MsoListParagraphCxSpMiddle" style="background: white; line-height: normal; mso-add-space: auto; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span style="color: #222222; font-family: "helvetica" , sans-serif; font-size: 10.0pt;">los 2.500 m?<o:p></o:p></span></div>
<div class="MsoListParagraphCxSpMiddle" style="background: white; line-height: normal; mso-add-space: auto; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span style="color: #222222; font-family: "helvetica" , sans-serif; font-size: 10.0pt;">Completa la tabla
que relaciona la altura y la temperatura en esa<o:p></o:p></span></div>
<div class="MsoListParagraphCxSpMiddle" style="background: white; line-height: normal; mso-add-space: auto; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span style="color: #222222; font-family: "helvetica" , sans-serif; font-size: 10.0pt;">altura, es decir, a
la altura de 300 m se tiene una temperatura de<o:p></o:p></span></div>
<div class="MsoListParagraphCxSpMiddle" style="background: white; line-height: normal; mso-add-space: auto; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span style="color: #222222; font-family: "helvetica" , sans-serif; font-size: 10.0pt;">15ºC.<o:p></o:p></span></div>
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<span style="color: #222222; font-family: "helvetica" , sans-serif; font-size: 10.0pt;">Temperatura
registrada según la altura de la montaña<o:p></o:p></span></div>
<div class="MsoListParagraphCxSpMiddle" style="background: white; line-height: normal; mso-add-space: auto; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span style="color: #222222; font-family: "helvetica" , sans-serif; font-size: 10.0pt;">Para cada una de
ellas debes seleccionar una opción que sea la más acorde a las condiciones de
la situación.<o:p></o:p></span></div>
<div class="MsoListParagraphCxSpMiddle" style="background: white; line-height: normal; mso-add-space: auto; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span style="color: #222222; font-family: "helvetica" , sans-serif; font-size: 10.0pt;">1. La mayor
temperatura registrada en la tabla corresponde a:<o:p></o:p></span></div>
<div class="MsoListParagraphCxSpMiddle" style="background: white; line-height: normal; mso-add-space: auto; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span style="color: #222222; font-family: "helvetica" , sans-serif; font-size: 10.0pt;">a. La mayor altura
de la montaña <o:p></o:p></span></div>
<div class="MsoListParagraphCxSpMiddle" style="background: white; line-height: normal; mso-add-space: auto; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span style="color: #222222; font-family: "helvetica" , sans-serif; font-size: 10.0pt;">b. Los 1.200 m de
altura<o:p></o:p></span></div>
<div class="MsoListParagraphCxSpMiddle" style="background: white; line-height: normal; mso-add-space: auto; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span style="color: #222222; font-family: "helvetica" , sans-serif; font-size: 10.0pt;">c. La menor altura
de la montaña <o:p></o:p></span></div>
<div class="MsoListParagraphCxSpMiddle" style="background: white; line-height: normal; mso-add-space: auto; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span style="color: #222222; font-family: "helvetica" , sans-serif; font-size: 10.0pt;">d. Los 900 m de
altura<o:p></o:p></span></div>
<div class="MsoListParagraphCxSpMiddle" style="background: white; line-height: normal; mso-add-space: auto; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span style="color: #222222; font-family: "helvetica" , sans-serif; font-size: 10.0pt;">2. Se puede afirmar
de acuerdo con los datos que a mayor altura de la montaña:<o:p></o:p></span></div>
<div class="MsoListParagraphCxSpMiddle" style="background: white; line-height: normal; mso-add-space: auto; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span style="color: #222222; font-family: "helvetica" , sans-serif; font-size: 10.0pt;">a. Es mayor la
temperatura<o:p></o:p></span></div>
<div class="MsoListParagraphCxSpMiddle" style="background: white; line-height: normal; mso-add-space: auto; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span style="color: #222222; font-family: "helvetica" , sans-serif; font-size: 10.0pt;"><span style="mso-spacerun: yes;"> </span>b. Es constante en la temperatura<o:p></o:p></span></div>
<div class="MsoListParagraphCxSpMiddle" style="background: white; line-height: normal; mso-add-space: auto; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span style="color: #222222; font-family: "helvetica" , sans-serif; font-size: 10.0pt;">c. Hay variación en
la temperatura <o:p></o:p></span></div>
<div class="MsoListParagraphCxSpMiddle" style="background: white; line-height: normal; mso-add-space: auto; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span style="color: #222222; font-family: "helvetica" , sans-serif; font-size: 10.0pt;">d. Es menor la
temperatura<o:p></o:p></span></div>
<div class="MsoListParagraphCxSpMiddle" style="background: white; line-height: normal; mso-add-space: auto; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span style="color: #222222; font-family: "helvetica" , sans-serif; font-size: 10.0pt;">3. Los datos
numéricos de la altura de la montaña están presentados de:<o:p></o:p></span></div>
<div class="MsoListParagraphCxSpMiddle" style="background: white; line-height: normal; mso-add-space: auto; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span style="color: #222222; font-family: "helvetica" , sans-serif; font-size: 10.0pt;">a. Menor a mayor<o:p></o:p></span></div>
<div class="MsoListParagraphCxSpMiddle" style="background: white; line-height: normal; mso-add-space: auto; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span style="color: #222222; font-family: "helvetica" , sans-serif; font-size: 10.0pt;"><span style="mso-spacerun: yes;"> </span>b. Mayor a menor<o:p></o:p></span></div>
<div class="MsoListParagraphCxSpMiddle" style="background: white; line-height: normal; mso-add-space: auto; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span style="color: #222222; font-family: "helvetica" , sans-serif; font-size: 10.0pt;">c. En desorden<o:p></o:p></span></div>
<div class="MsoListParagraphCxSpMiddle" style="background: white; line-height: normal; mso-add-space: auto; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span style="color: #222222; font-family: "helvetica" , sans-serif; font-size: 10.0pt;">4. Los datos
numéricos de la temperatura están dados de:<o:p></o:p></span></div>
<div class="MsoListParagraphCxSpMiddle" style="background: white; line-height: normal; mso-add-space: auto; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span style="color: #222222; font-family: "helvetica" , sans-serif; font-size: 10.0pt;">a. Menor a mayor<o:p></o:p></span></div>
<div class="MsoListParagraphCxSpMiddle" style="background: white; line-height: normal; mso-add-space: auto; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span style="color: #222222; font-family: "helvetica" , sans-serif; font-size: 10.0pt;"><span style="mso-spacerun: yes;"> </span>b. Mayor a menor<o:p></o:p></span></div>
<div class="MsoListParagraphCxSpMiddle" style="background: white; line-height: normal; mso-add-space: auto; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span style="color: #222222; font-family: "helvetica" , sans-serif; font-size: 10.0pt;">c. En desorden<o:p></o:p></span></div>
<div class="MsoListParagraphCxSpMiddle" style="background: white; line-height: normal; mso-add-space: auto; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<br /></div>
<div class="MsoListParagraphCxSpLast" style="background: white; line-height: normal; mso-add-space: auto; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<br /></div>
<div style="background: white;">
<br /></div>
<div style="background: white;">
<br /></div>
<div style="background: white;">
<br /></div>
<div style="background: white;">
<br /></div>
<div style="background: white;">
<br /></div>
<div style="background: white;">
<br /></div>
<br />David montenegrohttp://www.blogger.com/profile/12104593147060605502noreply@blogger.com0tag:blogger.com,1999:blog-2802058073099134395.post-64815903318620950652019-05-05T23:06:00.001-07:002019-05-05T23:06:24.224-07:00<br />
<div class="MsoNormal">
<span style="font-size: 12.0pt; line-height: 115%;">ESTADÍSTICA
GRADO 9° <o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 12.0pt; line-height: 115%;"><br /></span></div>
<div class="MsoNormal">
<span style="font-size: 12.0pt; line-height: 115%;">RESOLVER LA
SIGUIENTE ACTIVIDAD.<o:p></o:p></span></div>
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<span style="font-size: 12.0pt; line-height: 115%;"><br /></span></div>
<div class="MsoNormal">
<span style="font-size: 12.0pt; line-height: 115%;">1.<span style="mso-tab-count: 1;"> </span>Una entidad bancaria dispone de 50
sucursales en el territorio nacional y ha observado el número de empleados que
hay en cada una de ellas para un estudio posterior. <span style="mso-spacerun: yes;"> </span>Las observaciones obtenidas han sido: <o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 12.0pt; line-height: 115%;"><br /></span></div>
<div class="MsoNormal">
<span style="font-size: 12.0pt; line-height: 115%;">12, 10, 9,
11, 15, 16, 9, 10, 10, 11, 12, 13,14,15, 11, 11, 12, 16, 17, 17,16,16, 15, 14,
12, 11, 11, 11, </span></div>
<div class="MsoNormal">
<span style="font-size: 12.0pt; line-height: 115%;"><br /></span></div>
<div class="MsoNormal">
<span style="font-size: 12.0pt; line-height: 115%;">12, 12, 12, 15, 13, 14, 16, 15, 18, 19, 18, 10, 11, 12, 12, 11,
13, 13, 15, 13, 11, 12. <o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 12.0pt; line-height: 115%;"><br /></span></div>
<div class="MsoNormal">
<span style="font-size: 12.0pt; line-height: 115%;">SE PIDE:<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 12.0pt; line-height: 115%;"><br /></span></div>
<div class="MsoNormal">
<span style="font-size: 12.0pt; line-height: 115%;">a) tabla<span style="mso-spacerun: yes;"> </span>de distribución de frecuencias <o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 12.0pt; line-height: 115%;"><br /></span></div>
<div class="MsoNormal">
<span style="font-size: 12.0pt; line-height: 115%;">b)
interprete <o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 12.0pt; line-height: 115%;"><br /></span></div>
<div class="MsoNormal">
<span style="font-size: 12.0pt; line-height: 115%;">c) <span style="mso-spacerun: yes;"> </span>diagrama de barras<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 12.0pt; line-height: 115%;"><br /></span></div>
<div class="MsoNormal">
<span style="font-size: 12.0pt; line-height: 115%;">d) diagrama
circular<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 12.0pt; line-height: 115%;"><br /></span></div>
<div class="MsoNormal">
<span style="font-size: 12.0pt; line-height: 115%;">2.<span style="mso-tab-count: 1;"> El taller industrial XXX</span></span> ha fabricado 60
cilindros cuya longitud en centímetros se registra <o:p></o:p></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
239, 254, 255, 248, 246, 249, 242, 250, 249, 244, 253, 248
250, 258, 252, 251, 250, 253, 247, 243, </div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
245, 251, 247, 250 248, 250, 259, 249,
249, 250, 251, 253, 241, 251, 249, 252 250, 247, 251, 259, </div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
250, 246, 252, 238,
251, 238, 236, 259 249, 257, 249, 247, 251, 246, 245, 243, 250, 249, 242, 238 <o:p></o:p></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
SE SOLICITA:<span style="font-size: 12.0pt; line-height: 115%;">
<o:p></o:p></span></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
<span style="font-size: 12.0pt; line-height: 115%;">a) tabla<span style="mso-spacerun: yes;"> </span>de distribución de frecuencias <o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 12.0pt; line-height: 115%;"><br /></span></div>
<div class="MsoNormal">
<span style="font-size: 12.0pt; line-height: 115%;">b)
interprete <o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 12.0pt; line-height: 115%;"><br /></span></div>
<div class="MsoNormal">
<span style="font-size: 12.0pt; line-height: 115%;">c) <span style="mso-spacerun: yes;"> </span>diagrama de barras<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 12.0pt; line-height: 115%;"><br /></span></div>
<div class="MsoNormal">
<span style="font-size: 12.0pt; line-height: 115%;">d) diagrama
circular<o:p></o:p></span></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
<span style="font-size: 12.0pt; line-height: 115%;">.<o:p></o:p></span></div>
<br />David montenegrohttp://www.blogger.com/profile/12104593147060605502noreply@blogger.com2tag:blogger.com,1999:blog-2802058073099134395.post-37481536015988139262019-05-05T22:43:00.004-07:002019-05-05T22:43:57.268-07:00TABLA DE FRECUENCIAS GRADO 9° DAVID<br />
<div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-outline-level: 1; text-align: justify;">
<span style="font-family: "Arial","sans-serif"; font-size: 24.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CO; mso-font-kerning: 18.0pt;">Tabla de
distribución de frecuencias <o:p></o:p></span></div>
<div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-outline-level: 1; text-align: justify;">
<span style="font-family: "Arial","sans-serif"; font-size: 24.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CO; mso-font-kerning: 18.0pt;">EJEMPLO<o:p></o:p></span></div>
<div class="MsoNormal" style="text-align: justify;">
Los siguientes datos corresponden
a la <span style="mso-spacerun: yes;"> </span>masa en Kg <span style="mso-spacerun: yes;"> </span>de<span style="mso-spacerun: yes;"> </span>40 estudiantes
del grado<span style="mso-spacerun: yes;"> </span>9°B de la Institución
Educativa Carlos M Simmonds ,información obtenida mediante encuesta<span style="mso-spacerun: yes;"> </span>el día 30 de abril de 2019<span style="mso-spacerun: yes;"> </span>en las<span style="mso-spacerun: yes;">
</span>el salón de clase <o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
<br /></div>
<div class="MsoNormal" style="text-align: justify;">
<br /></div>
<div class="MsoNormal" style="text-align: justify;">
<b><span style="background: white; color: #222222; font-family: "Arial","sans-serif";">La tabla de frecuencias tendrá las
siguientes 6 <span style="mso-spacerun: yes;"> </span>columnas:<o:p></o:p></span></b></div>
<div class="MsoNormal" style="margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify;">
<b><span style="background: white; color: #222222; font-family: "Arial","sans-serif"; font-size: 16.0pt; line-height: 115%;">1.<span style="mso-tab-count: 1;"> </span>Intervalos<o:p></o:p></span></b></div>
<div class="MsoNormal" style="background: white; line-height: 18.0pt; margin-bottom: .0001pt; margin-bottom: 0cm; mso-outline-level: 3; text-align: justify; vertical-align: baseline;">
<b><span style="border: none windowtext 1.0pt; color: #333333; font-family: "Arial","sans-serif"; font-size: 14.5pt; mso-border-alt: none windowtext 0cm; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CO; padding: 0cm;">2.<span style="mso-tab-count: 1;"> </span>Frecuencia absoluta (f<sub>i</sub>)<o:p></o:p></span></b></div>
<div class="MsoNormal" style="background: white; line-height: 18.0pt; margin-bottom: .0001pt; margin-bottom: 0cm; mso-outline-level: 3; text-align: justify; vertical-align: baseline;">
<span style="background: white; color: #555555; font-family: "Arial","sans-serif"; font-size: 10.5pt;">La </span><strong style="-webkit-text-stroke-width: 0px; font-variant-caps: normal; font-variant-ligatures: normal; orphans: 3; outline: 0px; text-decoration-color: initial; text-decoration-style: initial; widows: 3; word-spacing: 0px;"><span style="border: none windowtext 1.0pt; font-family: "Arial","sans-serif"; mso-border-alt: none windowtext 0cm; padding: 0cm;">frecuencia absoluta</span></strong><span style="-webkit-text-stroke-width: 0px; float: none; font-variant-caps: normal; font-variant-ligatures: normal; orphans: 3; text-decoration-color: initial; text-decoration-style: initial; widows: 3; word-spacing: 0px;"> es el </span><strong style="-webkit-text-stroke-width: 0px; font-variant-caps: normal; font-variant-ligatures: normal; orphans: 3; outline: 0px; text-decoration-color: initial; text-decoration-style: initial; widows: 3; word-spacing: 0px;"><span style="border: none windowtext 1.0pt; font-family: "Arial","sans-serif"; mso-border-alt: none windowtext 0cm; padding: 0cm;">número
de veces que un dato se repite</span></strong><span style="-webkit-text-stroke-width: 0px; float: none; font-variant-caps: normal; font-variant-ligatures: normal; orphans: 3; text-decoration-color: initial; text-decoration-style: initial; widows: 3; word-spacing: 0px;"> dentro de un conjunto de datos. Se representa como fi,
donde la «i» corresponde al número de dato.</span><o:p></o:p></div>
<div class="MsoNormal" style="background: white; line-height: 18.0pt; margin-bottom: .0001pt; margin-bottom: 0cm; mso-outline-level: 3; text-align: justify; vertical-align: baseline;">
<br /></div>
<div class="MsoNormal" style="background: white; line-height: 18.0pt; margin-bottom: .0001pt; margin-bottom: 0cm; mso-outline-level: 3; text-align: justify; vertical-align: baseline;">
<b><span style="border: none windowtext 1.0pt; color: #333333; font-family: "Arial","sans-serif"; font-size: 14.5pt; mso-border-alt: none windowtext 0cm; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CO; padding: 0cm;">3.<span style="mso-tab-count: 1;"> </span>Frecuencia absoluta acumulada (F<sub>i</sub>)<o:p></o:p></span></b></div>
<div class="MsoNormal" style="background: white; line-height: 18.0pt; margin-bottom: .0001pt; margin-bottom: 0cm; mso-outline-level: 3; text-align: justify; vertical-align: baseline;">
<span style="background: white; color: #555555; font-family: "Arial","sans-serif"; font-size: 10.5pt;">La </span> <strong><span style="border: none windowtext 1.0pt; font-family: "Arial","sans-serif"; mso-border-alt: none windowtext 0cm; padding: 0cm;">frecuencia absoluta acumulada</span></strong><span style="-webkit-text-stroke-width: 0px; float: none; font-variant-caps: normal; font-variant-ligatures: normal; orphans: 3; text-decoration-color: initial; text-decoration-style: initial; widows: 3; word-spacing: 0px;"> es la suma de
las frecuencias absolutas</span> que se va acumulando hasta ese
dato, la frecuencia absoluta acumulada se obtiene sumando su frecuencia
absoluta a las frecuencias absolutas de los datos anteriores<b><span style="color: #333333; font-family: "Arial","sans-serif"; font-size: 16.5pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CO;"><o:p></o:p></span></b></div>
<div class="MsoNormal" style="background: white; line-height: 18.0pt; margin-bottom: .0001pt; margin-bottom: 0cm; mso-outline-level: 3; text-align: justify; vertical-align: baseline;">
<br /></div>
<div class="MsoNormal" style="background: white; line-height: 18.0pt; margin-bottom: .0001pt; margin-bottom: 0cm; mso-outline-level: 3; text-align: justify; vertical-align: baseline;">
<b><span style="border: none windowtext 1.0pt; color: #333333; font-family: "Arial","sans-serif"; font-size: 14.5pt; mso-border-alt: none windowtext 0cm; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CO; padding: 0cm;">4.<span style="mso-tab-count: 1;"> </span>Frecuencia relativa (n<sub>i</sub>)<o:p></o:p></span></b></div>
<div class="MsoNormal" style="background: white; line-height: 18.0pt; margin-bottom: .0001pt; margin-bottom: 0cm; mso-outline-level: 3; text-align: justify; vertical-align: baseline;">
<span style="background: white; color: #555555; font-family: "Arial","sans-serif"; font-size: 10.5pt;"> Es la proporción de veces que aparece ese
dato con respecto al total</span><span style="background: white; color: #555555; font-family: "Arial","sans-serif"; font-size: 16.0pt;">.</span><span style="mso-spacerun: yes;"> </span>n<sub>i <span style="mso-spacerun: yes;"> </span>=</sub><span style="mso-spacerun: yes;">
</span><sub><span style="mso-spacerun: yes;"> </span></sub><!--[if gte msEquation 12]><m:oMath><m:f><m:fPr><span
style='font-size:16.0pt;mso-ansi-font-size:16.0pt;mso-bidi-font-size:16.0pt;
font-family:"Cambria Math","serif";mso-ascii-font-family:"Cambria Math";
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:Arial;color:#555555;
background:white;font-style:italic;mso-bidi-font-style:normal;vertical-align:
sub'><m:ctrlPr></m:ctrlPr></span></m:fPr><m:num><i style='mso-bidi-font-style:
normal'><sub><span style='font-size:16.0pt;font-family:"Cambria Math","serif";
mso-bidi-font-family:Arial;color:#555555;background:white'><m:r>fi</m:r></span></sub></i></m:num><m:den><i
style='mso-bidi-font-style:normal'><sub><span style='font-size:16.0pt;
font-family:"Cambria Math","serif";mso-bidi-font-family:Arial;color:#555555;
background:white'><m:r>n</m:r></span></sub></i></m:den></m:f></m:oMath><![endif]--><!--[if !msEquation]--><span style="font-family: "Calibri","sans-serif"; font-size: 11.0pt; line-height: 115%; mso-ansi-language: ES-CO; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: minor-latin; mso-text-raise: -11.5pt; position: relative; top: 11.5pt;"><!--[if gte vml 1]><v:shapetype id="_x0000_t75" coordsize="21600,21600"
o:spt="75" o:preferrelative="t" path="m@4@5l@4@11@9@11@9@5xe" filled="f"
stroked="f">
<v:stroke joinstyle="miter"/>
<v:formulas>
<v:f eqn="if lineDrawn pixelLineWidth 0"/>
<v:f eqn="sum @0 1 0"/>
<v:f eqn="sum 0 0 @1"/>
<v:f eqn="prod @2 1 2"/>
<v:f eqn="prod @3 21600 pixelWidth"/>
<v:f eqn="prod @3 21600 pixelHeight"/>
<v:f eqn="sum @0 0 1"/>
<v:f eqn="prod @6 1 2"/>
<v:f eqn="prod @7 21600 pixelWidth"/>
<v:f eqn="sum @8 21600 0"/>
<v:f eqn="prod @7 21600 pixelHeight"/>
<v:f eqn="sum @10 21600 0"/>
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<o:lock v:ext="edit" aspectratio="t"/>
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height:30.75pt'>
<v:imagedata src="file:///C:\Users\David\AppData\Local\Temp\msohtmlclip1\06\clip_image001.png"
o:title="" chromakey="white"/>
</v:shape><![endif]--><!--[if !vml]--><img height="41" src="file:///C:\Users\David\AppData\Local\Temp\msohtmlclip1\06\clip_image002.png" v:shapes="_x0000_i1025" width="15" /><!--[endif]--></span><!--[endif]--><sub><span style="background: white; color: #555555; font-family: "Arial","sans-serif"; font-size: 16.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;"><o:p></o:p></span></sub></div>
<div class="MsoNormal" style="background: white; line-height: 18.0pt; margin-bottom: .0001pt; margin-bottom: 0cm; mso-outline-level: 3; text-align: justify; vertical-align: baseline;">
<span style="background: white; color: #555555; font-family: "Arial","sans-serif"; font-size: 10.5pt;">Se representa como «ni», siendo «i» el
número de dato. y se calcula dividiendo la frecuencia absoluta de cada dato
entre el número total de datos:</span><sub><span style="background: white; color: #555555; font-family: "Arial","sans-serif"; font-size: 16.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;"><o:p></o:p></span></sub></div>
<div class="MsoNormal" style="background: white; line-height: 18.0pt; margin-bottom: .0001pt; margin-bottom: 0cm; mso-outline-level: 3; text-align: justify; vertical-align: baseline;">
<br /></div>
<div class="MsoNormal" style="background: white; line-height: 18.0pt; margin-bottom: .0001pt; margin-bottom: 0cm; mso-outline-level: 3; text-align: justify; vertical-align: baseline;">
<b><span style="border: none windowtext 1.0pt; color: #333333; font-family: "Arial","sans-serif"; font-size: 14.5pt; mso-border-alt: none windowtext 0cm; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CO; padding: 0cm;">5.<span style="mso-tab-count: 1;"> </span>Frecuencia relativa acumulada (N<sub>i</sub>)
Marca de clase (Y<sub>i</sub>)<o:p></o:p></span></b></div>
<div class="MsoNormal" style="background: white; line-height: 18.0pt; margin-bottom: .0001pt; margin-bottom: 0cm; mso-outline-level: 3; text-align: justify; vertical-align: baseline;">
<br /></div>
<div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify; vertical-align: baseline;">
<b><span style="border: none windowtext 1.0pt; color: #555555; font-family: "Arial","sans-serif"; font-size: 10.5pt; mso-border-alt: none windowtext 0cm; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CO; padding: 0cm;">suma de la
frecuencia relativa de un dato más la frecuencia relativa del dato anterior</span></b><span style="color: #555555; font-family: "Arial","sans-serif"; font-size: 10.5pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CO;">. Así que, la
frecuencia relativa acumulada del primer dato coincide con su frecuencia
relativa y la frecuencia relativa acumulada es igual a uno<o:p></o:p></span></div>
<div class="MsoNormal" style="text-align: justify;">
6.<span style="mso-tab-count: 1;"> </span><span style="font-size: 18.0pt; line-height: 115%;">Marca de clase</span><b><span style="border: none windowtext 1.0pt; color: #333333; font-family: "Arial","sans-serif"; font-size: 14.5pt; line-height: 115%; mso-border-alt: none windowtext 0cm; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CO; padding: 0cm;"> (y<sub>i</sub>)</span></b><span style="background: white; color: #555555; font-family: "Arial","sans-serif"; font-size: 10.5pt; line-height: 115%;"> <o:p></o:p></span></div>
<div class="MsoNormal" style="text-align: justify;">
<span style="background: white; color: #555555; font-family: "Arial","sans-serif"; font-size: 10.5pt; line-height: 115%;">Es el </span><strong style="-webkit-text-stroke-width: 0px; font-variant-caps: normal; font-variant-ligatures: normal; orphans: 2; outline: 0px; text-decoration-color: initial; text-decoration-style: initial; widows: 2; word-spacing: 0px;"><span style="border: none windowtext 1.0pt; font-family: "Arial","sans-serif"; mso-border-alt: none windowtext 0cm; padding: 0cm;">punto medio de cada intervalo</span></strong><span style="-webkit-text-stroke-width: 0px; float: none; font-variant-caps: normal; font-variant-ligatures: normal; orphans: 2; text-decoration-color: initial; text-decoration-style: initial; widows: 2; word-spacing: 0px;"> y es el valor
que se utiliza para calcular otras medidas </span><o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
<span style="-webkit-text-stroke-width: 0px; float: none; font-variant-caps: normal; font-variant-ligatures: normal; orphans: 2; text-decoration-color: initial; text-decoration-style: initial; widows: 2; word-spacing: 0px;"><br /></span></div>
<div class="MsoNormal" style="text-align: justify;">
<span style="-webkit-text-stroke-width: 0px; float: none; font-variant-caps: normal; font-variant-ligatures: normal; orphans: 2; text-decoration-color: initial; text-decoration-style: initial; widows: 2; word-spacing: 0px;"><br /></span></div>
<table align="left" border="1" cellpadding="0" cellspacing="0" class="MsoTableGrid" style="border-collapse: collapse; border: none; margin-left: 4.8pt; margin-right: 4.8pt; mso-border-alt: solid windowtext .5pt; mso-padding-alt: 0cm 5.4pt 0cm 5.4pt; mso-table-anchor-horizontal: margin; mso-table-anchor-vertical: page; mso-table-left: left; mso-table-lspace: 7.05pt; mso-table-rspace: 7.05pt; mso-table-top: 601.85pt; mso-yfti-tbllook: 1184;">
<tbody>
<tr style="mso-yfti-firstrow: yes; mso-yfti-irow: 0;">
<td style="border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 64.1pt;" valign="top" width="85">
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-anchor-vertical: page; mso-element-frame-hspace: 7.05pt; mso-element-top: 601.85pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: justify;">
Y<sub>I – 1 <span style="mso-spacerun: yes;"> </span>-<span style="mso-spacerun: yes;"> </span></sub>Y<sub>I<o:p></o:p></sub></div>
</td>
<td style="border-left: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 64.1pt;" valign="top" width="85">
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-anchor-vertical: page; mso-element-frame-hspace: 7.05pt; mso-element-top: 601.85pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: justify;">
f<sub>i<o:p></o:p></sub></div>
</td>
<td style="border-left: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 64.1pt;" valign="top" width="85">
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-anchor-vertical: page; mso-element-frame-hspace: 7.05pt; mso-element-top: 601.85pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: justify;">
F<sub>i<o:p></o:p></sub></div>
</td>
<td style="border-left: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 64.15pt;" valign="top" width="86">
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-anchor-vertical: page; mso-element-frame-hspace: 7.05pt; mso-element-top: 601.85pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: justify;">
h<sub>i<o:p></o:p></sub></div>
</td>
<td style="border-left: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 64.15pt;" valign="top" width="86">
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-anchor-vertical: page; mso-element-frame-hspace: 7.05pt; mso-element-top: 601.85pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: justify;">
H<sub>i</sub><o:p></o:p></div>
</td>
<td style="border-left: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 64.15pt;" valign="top" width="86">
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-anchor-vertical: page; mso-element-frame-hspace: 7.05pt; mso-element-top: 601.85pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: justify;">
y<sub>i<o:p></o:p></sub></div>
</td>
</tr>
<tr style="mso-yfti-irow: 1;">
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 64.1pt;" valign="top" width="85">
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-anchor-vertical: page; mso-element-frame-hspace: 7.05pt; mso-element-top: 601.85pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: justify;">
54 -56<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 64.1pt;" valign="top" width="85">
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-anchor-vertical: page; mso-element-frame-hspace: 7.05pt; mso-element-top: 601.85pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: justify;">
2<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 64.1pt;" valign="top" width="85">
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-anchor-vertical: page; mso-element-frame-hspace: 7.05pt; mso-element-top: 601.85pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: justify;">
2<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 64.15pt;" valign="top" width="86">
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-anchor-vertical: page; mso-element-frame-hspace: 7.05pt; mso-element-top: 601.85pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: justify;">
0,05<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 64.15pt;" valign="top" width="86">
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-anchor-vertical: page; mso-element-frame-hspace: 7.05pt; mso-element-top: 601.85pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: justify;">
0,05<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 64.15pt;" valign="top" width="86">
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-anchor-vertical: page; mso-element-frame-hspace: 7.05pt; mso-element-top: 601.85pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: justify;">
55<o:p></o:p></div>
</td>
</tr>
<tr style="mso-yfti-irow: 2;">
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 64.1pt;" valign="top" width="85">
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-anchor-vertical: page; mso-element-frame-hspace: 7.05pt; mso-element-top: 601.85pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: justify;">
56.<span style="color: red;">1</span> - 58<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 64.1pt;" valign="top" width="85">
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-anchor-vertical: page; mso-element-frame-hspace: 7.05pt; mso-element-top: 601.85pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: justify;">
2<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 64.1pt;" valign="top" width="85">
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-anchor-vertical: page; mso-element-frame-hspace: 7.05pt; mso-element-top: 601.85pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: justify;">
4<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 64.15pt;" valign="top" width="86">
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-anchor-vertical: page; mso-element-frame-hspace: 7.05pt; mso-element-top: 601.85pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: justify;">
0.05<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 64.15pt;" valign="top" width="86">
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-anchor-vertical: page; mso-element-frame-hspace: 7.05pt; mso-element-top: 601.85pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: justify;">
0.10<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 64.15pt;" valign="top" width="86">
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-anchor-vertical: page; mso-element-frame-hspace: 7.05pt; mso-element-top: 601.85pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: justify;">
57<o:p></o:p></div>
</td>
</tr>
<tr style="mso-yfti-irow: 3;">
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 64.1pt;" valign="top" width="85">
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-anchor-vertical: page; mso-element-frame-hspace: 7.05pt; mso-element-top: 601.85pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: justify;">
58.<span style="color: red;">1</span> - 60<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 64.1pt;" valign="top" width="85">
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-anchor-vertical: page; mso-element-frame-hspace: 7.05pt; mso-element-top: 601.85pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: justify;">
6<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 64.1pt;" valign="top" width="85">
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-anchor-vertical: page; mso-element-frame-hspace: 7.05pt; mso-element-top: 601.85pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: justify;">
10<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 64.15pt;" valign="top" width="86">
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-anchor-vertical: page; mso-element-frame-hspace: 7.05pt; mso-element-top: 601.85pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: justify;">
0.15<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 64.15pt;" valign="top" width="86">
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-anchor-vertical: page; mso-element-frame-hspace: 7.05pt; mso-element-top: 601.85pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: justify;">
0.25<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 64.15pt;" valign="top" width="86">
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-anchor-vertical: page; mso-element-frame-hspace: 7.05pt; mso-element-top: 601.85pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: justify;">
59<o:p></o:p></div>
</td>
</tr>
<tr style="mso-yfti-irow: 4;">
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 64.1pt;" valign="top" width="85">
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-anchor-vertical: page; mso-element-frame-hspace: 7.05pt; mso-element-top: 601.85pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: justify;">
60.<span style="color: red;">1</span> - 62<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 64.1pt;" valign="top" width="85">
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-anchor-vertical: page; mso-element-frame-hspace: 7.05pt; mso-element-top: 601.85pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: justify;">
12<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 64.1pt;" valign="top" width="85">
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-anchor-vertical: page; mso-element-frame-hspace: 7.05pt; mso-element-top: 601.85pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: justify;">
22<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 64.15pt;" valign="top" width="86">
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-anchor-vertical: page; mso-element-frame-hspace: 7.05pt; mso-element-top: 601.85pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: justify;">
0.30<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 64.15pt;" valign="top" width="86">
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-anchor-vertical: page; mso-element-frame-hspace: 7.05pt; mso-element-top: 601.85pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: justify;">
0.55<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 64.15pt;" valign="top" width="86">
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-anchor-vertical: page; mso-element-frame-hspace: 7.05pt; mso-element-top: 601.85pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: justify;">
61<o:p></o:p></div>
</td>
</tr>
<tr style="mso-yfti-irow: 5;">
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 64.1pt;" valign="top" width="85">
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-anchor-vertical: page; mso-element-frame-hspace: 7.05pt; mso-element-top: 601.85pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: justify;">
62.<span style="color: red;">1</span> - <span style="mso-spacerun: yes;"> </span>64<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 64.1pt;" valign="top" width="85">
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-anchor-vertical: page; mso-element-frame-hspace: 7.05pt; mso-element-top: 601.85pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: justify;">
15<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 64.1pt;" valign="top" width="85">
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-anchor-vertical: page; mso-element-frame-hspace: 7.05pt; mso-element-top: 601.85pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: justify;">
37<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 64.15pt;" valign="top" width="86">
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-anchor-vertical: page; mso-element-frame-hspace: 7.05pt; mso-element-top: 601.85pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: justify;">
0.38<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 64.15pt;" valign="top" width="86">
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-anchor-vertical: page; mso-element-frame-hspace: 7.05pt; mso-element-top: 601.85pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: justify;">
0.92<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 64.15pt;" valign="top" width="86">
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-anchor-vertical: page; mso-element-frame-hspace: 7.05pt; mso-element-top: 601.85pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: justify;">
63<o:p></o:p></div>
</td>
</tr>
<tr style="mso-yfti-irow: 6; mso-yfti-lastrow: yes;">
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 64.1pt;" valign="top" width="85">
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-anchor-vertical: page; mso-element-frame-hspace: 7.05pt; mso-element-top: 601.85pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: justify;">
64.<span style="color: red;">1</span> - 66<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 64.1pt;" valign="top" width="85">
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-anchor-vertical: page; mso-element-frame-hspace: 7.05pt; mso-element-top: 601.85pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: justify;">
3<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 64.1pt;" valign="top" width="85">
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-anchor-vertical: page; mso-element-frame-hspace: 7.05pt; mso-element-top: 601.85pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: justify;">
40<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 64.15pt;" valign="top" width="86">
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-anchor-vertical: page; mso-element-frame-hspace: 7.05pt; mso-element-top: 601.85pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: justify;">
0,07<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 64.15pt;" valign="top" width="86">
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-anchor-vertical: page; mso-element-frame-hspace: 7.05pt; mso-element-top: 601.85pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: justify;">
1.0<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 64.15pt;" valign="top" width="86">
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-anchor-vertical: page; mso-element-frame-hspace: 7.05pt; mso-element-top: 601.85pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: justify;">
65<o:p></o:p></div>
</td>
</tr>
</tbody></table>
<div class="MsoNormal" style="text-align: justify;">
<br /></div>
<br />David montenegrohttp://www.blogger.com/profile/12104593147060605502noreply@blogger.com0tag:blogger.com,1999:blog-2802058073099134395.post-27131265904698555752019-04-21T10:00:00.001-07:002019-04-21T10:01:34.422-07:00ELIMINACIÓN DE SIGNOS DE AGRUPACIÓN GRADO 7° DAVID<iframe allowfullscreen="" frameborder="0" height="270" src="https://www.youtube.com/embed/HiEnaGx_9Fw" width="480"></iframe>David montenegrohttp://www.blogger.com/profile/12104593147060605502noreply@blogger.com1tag:blogger.com,1999:blog-2802058073099134395.post-20989369935439412892019-04-21T08:06:00.001-07:002019-04-21T08:06:50.561-07:00LA RADICACION Y SUS PROPIEDADES GRADO 7° DAVID<iframe allowfullscreen="" frameborder="0" height="270" src="https://www.youtube.com/embed/vAH_w49KhUg" width="480"></iframe>David montenegrohttp://www.blogger.com/profile/12104593147060605502noreply@blogger.com2tag:blogger.com,1999:blog-2802058073099134395.post-58616837034689552152019-04-21T08:04:00.001-07:002019-04-21T08:05:26.058-07:00LA POTENCIACION Y SUS PROPIEDADES GRADO 6° DAVID<iframe allowfullscreen="" frameborder="0" height="270" src="https://www.youtube.com/embed/bnwBXIcIi2k" width="480"></iframe>David montenegrohttp://www.blogger.com/profile/12104593147060605502noreply@blogger.com0tag:blogger.com,1999:blog-2802058073099134395.post-10286735843653850802019-04-21T07:45:00.001-07:002019-04-21T07:46:12.334-07:00LA RADICACION Y SUS PROPIEDADES GRADO 7° DAVID<iframe allowfullscreen="" frameborder="0" height="270" src="https://www.youtube.com/embed/vAH_w49KhUg" width="480"></iframe>David montenegrohttp://www.blogger.com/profile/12104593147060605502noreply@blogger.com0tag:blogger.com,1999:blog-2802058073099134395.post-67698833092066869282019-04-21T07:36:00.001-07:002019-04-21T07:37:58.076-07:00LA POTENCIACION Y SUS PROPIEDADES GRADO 7° DAVID<iframe allowfullscreen="" frameborder="0" height="270" src="https://www.youtube.com/embed/bnwBXIcIi2k" width="480"></iframe>David montenegrohttp://www.blogger.com/profile/12104593147060605502noreply@blogger.com0tag:blogger.com,1999:blog-2802058073099134395.post-4991067743579370032019-03-31T10:57:00.003-07:002019-03-31T10:57:17.256-07:00<br />
<div class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: center;">
INSTITUCIÓN
EDUCATIVA CARLOS M. SIMMONDS<o:p></o:p></div>
<br />
<div class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: center;">
NÚMEROS
ENTEROS GRADO 7°<o:p></o:p></div>
<div class="MsoNormal">
</div>
<div class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: center;">
DAVID
MONTENEGRO<o:p></o:p></div>
<br />
<div class="MsoNormal" style="text-align: center;">
<span style="mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;"><br /></span></div>
<div class="MsoNormal">
<span style="mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">Resuelve las siguientes operaciones
combinadas<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;"><br /></span></div>
<div class="MsoNormal">
<span style="mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">1.<span style="mso-tab-count: 1;"> (-5).(-8)</span></span><!--[if gte msEquation 12]><m:oMath><m:d><m:dPr><span
style='font-family:"Cambria Math","serif";mso-ascii-font-family:"Cambria Math";
mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
normal'><m:ctrlPr></m:ctrlPr></span></m:dPr><m:e><i style='mso-bidi-font-style:
normal'><span style='font-family:"Cambria Math","serif"'><m:r>-</m:r><m:r>5</m:r></span></i></m:e></m:d><i
style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math","serif"'><m:r>.</m:r></span></i><m:d><m:dPr><span
style='font-family:"Cambria Math","serif";mso-ascii-font-family:"Cambria Math";
mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
normal'><m:ctrlPr></m:ctrlPr></span></m:dPr><m:e><i style='mso-bidi-font-style:
normal'><span style='font-family:"Cambria Math","serif"'><m:r>-</m:r><m:r>8</m:r></span></i></m:e></m:d><i
style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math","serif"'><m:r>=</m:r></span></i></m:oMath><![endif]--><!--[if !msEquation]--><span style="font-family: "Calibri","sans-serif"; font-size: 11.0pt; line-height: 115%; mso-ansi-language: ES-CO; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: minor-latin; mso-text-raise: -4.5pt; position: relative; top: 4.5pt;"><!--[if gte vml 1]><v:shapetype
id="_x0000_t75" coordsize="21600,21600" o:spt="75" o:preferrelative="t"
path="m@4@5l@4@11@9@11@9@5xe" filled="f" stroked="f">
<v:stroke joinstyle="miter"/>
<v:formulas>
<v:f eqn="if lineDrawn pixelLineWidth 0"/>
<v:f eqn="sum @0 1 0"/>
<v:f eqn="sum 0 0 @1"/>
<v:f eqn="prod @2 1 2"/>
<v:f eqn="prod @3 21600 pixelWidth"/>
<v:f eqn="prod @3 21600 pixelHeight"/>
<v:f eqn="sum @0 0 1"/>
<v:f eqn="prod @6 1 2"/>
<v:f eqn="prod @7 21600 pixelWidth"/>
<v:f eqn="sum @8 21600 0"/>
<v:f eqn="prod @7 21600 pixelHeight"/>
<v:f eqn="sum @10 21600 0"/>
</v:formulas>
<v:path o:extrusionok="f" gradientshapeok="t" o:connecttype="rect"/>
<o:lock v:ext="edit" aspectratio="t"/>
</v:shapetype><v:shape id="_x0000_i1025" type="#_x0000_t75" style='width:62.25pt;
height:15pt'>
<v:imagedata src="file:///C:\Users\David\AppData\Local\Temp\msohtmlclip1\04\clip_image001.png"
o:title="" chromakey="white"/>
</v:shape><![endif]--><!--[if !vml]--><!--[endif]--></span><!--[endif]--><span style="mso-spacerun: yes;"> </span><o:p></o:p></div>
<div class="MsoNormal">
<span style="mso-spacerun: yes;"><br /></span></div>
<div class="MsoNormal">
2.<span style="mso-tab-count: 1;"> </span>(-10). (+8)
=<o:p></o:p></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
3.<span style="mso-tab-count: 1;"> </span>(+5). (-7)
=<o:p></o:p></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
4.<span style="mso-tab-count: 1;"> </span>(-21):(-3)
=<o:p></o:p></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
5.<span style="mso-tab-count: 1;"> </span>(-35). (-7) =<o:p></o:p></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
<span style="mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">6.<span style="mso-tab-count: 1;"> (-36):</span></span><span style="mso-spacerun: yes;"> </span>(-6) :(-2) =<o:p></o:p></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
7.<span style="mso-tab-count: 1;"> </span>(+2). (+3).
(+6+) =<o:p></o:p></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
8.<span style="mso-tab-count: 1;"> </span>(+40) :(-10).
(+2) <span style="mso-spacerun: yes;"> </span>=<o:p></o:p></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
9.<span style="mso-tab-count: 1;"> </span>(+18) :(-3)
– (-8) <span style="mso-spacerun: yes;"> </span>=<o:p></o:p></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
10.<span style="mso-tab-count: 1;"> </span>3[4-2).
(5-11)] -18 =<o:p></o:p></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
11.<span style="mso-tab-count: 1;"> </span>30-(-2). (-10)
+ (-5).(-29)= </div>
<div class="MsoNormal">
<span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span><o:p></o:p></div>
<div class="MsoNormal">
12.<span style="mso-tab-count: 1;"> </span> (+5). [(-3)
+ (-7)] =<o:p></o:p></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
13.<span style="mso-tab-count: 1;"> </span>[-2+3. (2-5):3]
- [(3-5+2)-2. (3-4)]=<o:p></o:p></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
14.<span style="mso-tab-count: 1;"> </span>6 – (-9+7-1)
[3-(-5+4-6)-1] =<o:p></o:p></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
15.<span style="mso-tab-count: 1;"> </span>10. [3-2.(5-4)-2.(4-2)]=<o:p></o:p></div>
<br />David montenegrohttp://www.blogger.com/profile/12104593147060605502noreply@blogger.com0tag:blogger.com,1999:blog-2802058073099134395.post-36486425172661996332019-03-26T23:12:00.004-07:002019-03-26T23:40:27.687-07:00OPERACIONES CON NÚMEROS NATURALES GRADO 6° DAVID<div align="center" class="MsoNormal" style="margin-left: 35.4pt; text-align: center;">
<span style="font-size: 18.6667px;">OPERACIONES CON </span><span style="font-size: 18.6667px;">NÚMEROS</span><span style="font-size: 18.6667px;"> NATURALES</span></div>
<div align="center" class="MsoNormal" style="margin-left: 35.4pt; text-align: center;">
<span style="font-size: 18.6667px;"><b><u><br /></u></b></span></div>
<div style="background-color: white; box-sizing: border-box; color: #212529; font-family: -apple-system, BlinkMacSystemFont, "segoe ui", Roboto, "helvetica neue", Arial, sans-serif, "apple color emoji", "segoe ui emoji", "segoe ui symbol"; font-size: 16px; margin-bottom: 1rem;">
Primero se realizan las multiplicaciones y divisiones y luego las sumas y restas.<br />
realizar primero las operaciones indicadas:</div>
<div style="background-color: white; box-sizing: border-box; color: #212529; font-family: -apple-system, BlinkMacSystemFont, "segoe ui", Roboto, "helvetica neue", Arial, sans-serif, "apple color emoji", "segoe ui emoji", "segoe ui symbol"; font-size: 16px; margin-bottom: 1rem;">
Ejemplo: 14+(5 – 3) - 7 = 14+2-7 = 9</div>
<span lang="ES" style="font-family: "Times New Roman","serif"; font-size: 10.0pt; mso-ansi-language: ES; mso-bidi-language: AR-SA; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES;"><span style="mso-text-raise: -5.0pt; position: relative; top: 5.0pt;"><!--[if gte vml 1]><v:shapetype id="_x0000_t75"
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<v:stroke joinstyle="miter"/>
<v:formulas>
<v:f eqn="if lineDrawn pixelLineWidth 0"/>
<v:f eqn="sum @0 1 0"/>
<v:f eqn="sum 0 0 @1"/>
<v:f eqn="prod @2 1 2"/>
<v:f eqn="prod @3 21600 pixelWidth"/>
<v:f eqn="prod @3 21600 pixelHeight"/>
<v:f eqn="sum @0 0 1"/>
<v:f eqn="prod @6 1 2"/>
<v:f eqn="prod @7 21600 pixelWidth"/>
<v:f eqn="sum @8 21600 0"/>
<v:f eqn="prod @7 21600 pixelHeight"/>
<v:f eqn="sum @10 21600 0"/>
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<o:lock v:ext="edit" aspectratio="t"/>
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height:17.25pt' o:ole="" fillcolor="window">
<v:imagedata src="file:///C:\Users\David\AppData\Local\Temp\msohtmlclip1\03\clip_image001.wmz"
o:title=""/>
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<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1025"
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</xml><![endif]--></span><br />
<a href="https://www.aulafacil.com/uploads/cursos/732/editor/numerosnaturales6.es.jpg" imageanchor="1"><img alt="" border="0" src="https://www.aulafacil.com/uploads/cursos/732/editor/numerosnaturales6.es.jpg" title="OPERACIONES CON NUMEROS NATURALES" /></a><br />
<br />
PROBLEMAS:<br />
<br />
<div class="MsoNormal" style="margin-left: 35.4pt;">
<b><span lang="ES" style="font-size: 11.0pt; mso-bidi-font-size: 10.0pt;">1º</span></b><span lang="ES" style="font-size: 11.0pt; mso-bidi-font-size: 10.0pt;"> Raquel, Víctor y Alejandro quieren hacer un
fondo común para comprar helados. Raquel tiene 0,76 €; Víctor, 0,91 €, y
Alejandro, 1,05 € ¿A cuánto asciende el fondo común?<o:p></o:p></span></div>
<div class="MsoNormal" style="margin-left: 35.4pt;">
<br /></div>
<div class="MsoNormal" style="margin-left: 35.4pt;">
<b><span lang="ES" style="font-size: 11.0pt; mso-bidi-font-size: 10.0pt;">2º</span></b><span lang="ES" style="font-size: 11.0pt; mso-bidi-font-size: 10.0pt;"> Pedro mide 1,62 m, Luisa mide 1,57 m, y
Emma, 1,63 m. Ordena sus estaturas de menor a mayor y halla la diferencia entre
cada dos consecutivas.<o:p></o:p></span></div>
<div class="MsoNormal" style="margin-left: 35.4pt;">
<br /></div>
<div class="MsoNormal" style="margin-left: 35.4pt;">
<b><span lang="ES" style="font-size: 11.0pt; mso-bidi-font-size: 10.0pt;">3º</span></b><span lang="ES" style="font-size: 11.0pt; mso-bidi-font-size: 10.0pt;"> Un litro de leche tiene 3,05 gramos de
proteínas, 4,55 gramos de hidratos de carbono, 1,55 gramos de grasa y 0,12
gramos de calcio. Los nuevos envases van a contener 1,5 litros. ¿Qué cantidad
tendrá de cada componente?<o:p></o:p></span></div>
<div class="MsoNormal" style="margin-left: 35.4pt;">
<br /></div>
<div class="MsoNormal" style="margin-left: 35.4pt;">
<b><span lang="ES" style="font-size: 11.0pt; mso-bidi-font-size: 10.0pt;">4º</span></b><span lang="ES" style="font-size: 11.0pt; mso-bidi-font-size: 10.0pt;"> Me han regalado una bolsa con 100 caramelos
que pesa 275 gramos. ¿Cuál es la masa de cada uno?<o:p></o:p></span></div>
<div class="MsoNormal" style="margin-left: 35.4pt;">
<br /></div>
<div class="MsoNormal" style="margin-left: 35.4pt;">
<br /></div>
<br />
<br />
<br />
<br />
<br />David montenegrohttp://www.blogger.com/profile/12104593147060605502noreply@blogger.com6tag:blogger.com,1999:blog-2802058073099134395.post-91322717548005180072019-03-26T22:20:00.001-07:002019-03-26T22:48:14.152-07:00ADICIÓN Y SUSTRACCIÓN DE NÚMEROS ENTEROS GRADO 7°<iframe allowfullscreen="" frameborder="0" height="270" src="https://www.youtube.com/embed/ZZ_NsF0NZf8" width="480"></iframe>David montenegrohttp://www.blogger.com/profile/12104593147060605502noreply@blogger.com3tag:blogger.com,1999:blog-2802058073099134395.post-83658802859545114492019-03-26T22:04:00.004-07:002019-03-26T22:04:54.658-07:00<h3 class="post-title entry-title" itemprop="name" style="background-color: white; font-stretch: normal; font-variant-east-asian: normal; font-variant-numeric: normal; line-height: normal; margin: 0px; position: relative;">
<span style="font-size: small;"><span style="color: #231f20; font-family: helvetica, sans-serif;">INSTITUCIÓN</span><b style="color: #333333; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif;"><span style="border: 1pt none; color: #231f20; font-family: helvetica, sans-serif; padding: 0cm;"> EDUCATIVA CARLOS M. SIMMONDS POPAYAN</span></b></span></h3>
<div class="post-body entry-content" id="post-body-5090769211708693868" itemprop="description articleBody" style="background-color: white; line-height: 1.4; position: relative; width: 578px;">
<div class="MsoNormal">
<span style="color: #333333; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif;"><b>NÚMEROS</b></span><b style="color: #333333; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif;"><span style="line-height: 27.6px;"> ENTEROS GRADO 7° DAVID<span style="font-size: 18pt;"><o:p></o:p></span></span></b></div>
<div class="MsoNormal">
<b style="color: #333333; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif;"><span style="line-height: 27.6px;"><br /></span></b></div>
<div class="MsoNormal" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; color: #333333; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; font-size: 14.85px; line-height: normal; margin-bottom: 0cm;">
<b><span style="border: 1pt none; color: #dd443a; font-family: helvetica, sans-serif; padding: 0cm;">1. </span></b><b><span style="border: 1pt none; color: #231f20; font-family: helvetica, sans-serif; padding: 0cm;">¿Qué número es mayor que –20?<o:p></o:p></span></b></div>
<div class="MsoNormal" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; color: #333333; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; font-size: 14.85px; line-height: normal; margin-bottom: 0cm;">
<br /></div>
<div class="MsoNormal" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; color: #333333; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; font-size: 14.85px; line-height: normal; margin-bottom: 0cm;">
<b><span style="border: 1pt none; color: #dd443a; font-family: helvetica, sans-serif; padding: 0cm;">A. </span></b><span style="border: 1pt none; color: #231f20; font-family: arial, sans-serif; padding: 0cm;">–40</span><span style="font-family: arial, sans-serif;"><o:p></o:p></span></div>
<div class="MsoNormal" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; color: #333333; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; font-size: 14.85px; line-height: normal; margin-bottom: 0cm;">
<b><span style="border: 1pt none; color: #dd443a; font-family: helvetica, sans-serif; padding: 0cm;">B. </span></b><span style="border: 1pt none; color: #231f20; font-family: arial, sans-serif; padding: 0cm;">–22</span><span style="font-family: arial, sans-serif;"><o:p></o:p></span></div>
<div class="MsoNormal" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; color: #333333; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; font-size: 14.85px; line-height: normal; margin-bottom: 0cm;">
<b><span style="border: 1pt none; color: #dd443a; font-family: helvetica, sans-serif; padding: 0cm;">C. </span></b><span style="border: 1pt none; color: #231f20; font-family: arial, sans-serif; padding: 0cm;">–21</span><span style="font-family: arial, sans-serif;"><o:p></o:p></span></div>
<div class="MsoNormal" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; color: #333333; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; font-size: 14.85px; line-height: normal; margin-bottom: 0cm;">
<b><span style="border: 1pt none; color: #dd443a; font-family: helvetica, sans-serif; padding: 0cm;">D. </span></b><span style="border: 1pt none; color: #231f20; font-family: arial, sans-serif; padding: 0cm;">–10<o:p></o:p></span></div>
<div class="MsoNormal" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; color: #333333; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; font-size: 14.85px; line-height: normal; margin-bottom: 0cm;">
<br /></div>
<div class="MsoNormal" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; color: #333333; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; font-size: 14.85px; line-height: normal; margin-bottom: 0cm;">
<b><span style="border: 1pt none; color: #dd443a; font-family: helvetica, sans-serif; padding: 0cm;">2. </span></b><b><span style="border: 1pt none; color: #231f20; font-family: helvetica, sans-serif; padding: 0cm;">¿Cuál de las siguientes relaciones es correcta?<o:p></o:p></span></b></div>
<div class="MsoNormal" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; color: #333333; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; font-size: 14.85px; line-height: normal; margin-bottom: 0cm;">
<br /></div>
<div class="MsoNormal" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; color: #333333; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; font-size: 14.85px; line-height: normal; margin-bottom: 0cm;">
<b><span style="border: 1pt none; color: #dd443a; font-family: helvetica, sans-serif; padding: 0cm;">A. </span></b><span style="border: 1pt none; color: #231f20; font-family: arial, sans-serif; padding: 0cm;">–7 < –8</span><span style="font-family: arial, sans-serif;"><o:p></o:p></span></div>
<div class="MsoNormal" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; color: #333333; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; font-size: 14.85px; line-height: normal; margin-bottom: 0cm;">
<b><span style="border: 1pt none; color: #dd443a; font-family: helvetica, sans-serif; padding: 0cm;">B. </span></b><span style="border: 1pt none; color: #231f20; font-family: arial, sans-serif; padding: 0cm;">–9 < 8</span><span style="font-family: arial, sans-serif;"><o:p></o:p></span></div>
<div class="MsoNormal" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; color: #333333; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; font-size: 14.85px; line-height: normal; margin-bottom: 0cm;">
<b><span style="border: 1pt none; color: #dd443a; font-family: helvetica, sans-serif; padding: 0cm;">C. </span></b><span style="border: 1pt none; color: #231f20; font-family: arial, sans-serif; padding: 0cm;">8 < 7</span><span style="font-family: arial, sans-serif;"><o:p></o:p></span></div>
<div class="MsoNormal" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; color: #333333; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; font-size: 14.85px; line-height: normal; margin-bottom: 0cm;">
<b><span style="border: 1pt none; color: #dd443a; font-family: helvetica, sans-serif; padding: 0cm;">D. </span></b><span style="border: 1pt none; color: #231f20; font-family: arial, sans-serif; padding: 0cm;">8 < –9<o:p></o:p></span></div>
<div class="MsoNormal" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; color: #333333; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; font-size: 14.85px; line-height: normal; margin-bottom: 0cm;">
<br /></div>
<div class="MsoNormal" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; color: #333333; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; font-size: 14.85px; line-height: normal; margin-bottom: 0cm;">
<b><span style="border: 1pt none; color: #dd443a; font-family: helvetica, sans-serif; padding: 0cm;">3. </span></b><b><span style="border: 1pt none; color: #231f20; font-family: helvetica, sans-serif; padding: 0cm;">¿Qué número sumado a –3 es igual a 8?<o:p></o:p></span></b></div>
<div class="MsoNormal" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; color: #333333; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; font-size: 14.85px; line-height: normal; margin-bottom: 0cm;">
<br /></div>
<div class="MsoNormal" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; color: #333333; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; font-size: 14.85px; line-height: normal; margin-bottom: 0cm;">
<b><span style="border: 1pt none; color: #dd443a; font-family: helvetica, sans-serif; padding: 0cm;">A. </span></b><span style="border: 1pt none; color: #231f20; font-family: arial, sans-serif; padding: 0cm;">–11</span><span style="font-family: arial, sans-serif;"><o:p></o:p></span></div>
<div class="MsoNormal" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; color: #333333; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; font-size: 14.85px; line-height: normal; margin-bottom: 0cm;">
<b><span style="border: 1pt none; color: #dd443a; font-family: helvetica, sans-serif; padding: 0cm;">B. </span></b><span style="border: 1pt none; color: #231f20; font-family: arial, sans-serif; padding: 0cm;">–5</span><span style="font-family: arial, sans-serif;"><o:p></o:p></span></div>
<div class="MsoNormal" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; color: #333333; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; font-size: 14.85px; line-height: normal; margin-bottom: 0cm;">
<b><span style="border: 1pt none; color: #dd443a; font-family: helvetica, sans-serif; padding: 0cm;">C </span></b><span style="border: 1pt none; color: #231f20; font-family: arial, sans-serif; padding: 0cm;">5</span><span style="font-family: arial, sans-serif;"><o:p></o:p></span></div>
<div class="MsoNormal" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; color: #333333; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; font-size: 14.85px; line-height: normal; margin-bottom: 0cm;">
<b><span style="border: 1pt none; color: #dd443a; font-family: helvetica, sans-serif; padding: 0cm;">D. </span></b><span style="border: 1pt none; color: #231f20; font-family: arial, sans-serif; padding: 0cm;">11<o:p></o:p></span></div>
<div class="MsoNormal" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; color: #333333; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; font-size: 14.85px; line-height: normal; margin-bottom: 0cm;">
<br /></div>
<div class="MsoNormal" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; color: #333333; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; font-size: 14.85px; line-height: normal; margin-bottom: 0cm;">
<b><span style="border: 1pt none; color: #dd443a; font-family: helvetica, sans-serif; padding: 0cm;">4. </span></b><b><span style="border: 1pt none; color: #231f20; font-family: helvetica, sans-serif; padding: 0cm;">¿A qué número se resta 5 y se obtiene –1?<o:p></o:p></span></b></div>
<div class="MsoNormal" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; color: #333333; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; font-size: 14.85px; line-height: normal; margin-bottom: 0cm;">
<br /></div>
<div class="MsoNormal" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; color: #333333; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; font-size: 14.85px; line-height: normal; margin-bottom: 0cm;">
<b><span style="border: 1pt none; color: #dd443a; font-family: helvetica, sans-serif; padding: 0cm;">A. </span></b><span style="border: 1pt none; color: #231f20; font-family: arial, sans-serif; padding: 0cm;">–6</span><span style="font-family: arial, sans-serif;"><o:p></o:p></span></div>
<div class="MsoNormal" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; color: #333333; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; font-size: 14.85px; line-height: normal; margin-bottom: 0cm;">
<b><span style="border: 1pt none; color: #dd443a; font-family: helvetica, sans-serif; padding: 0cm;">B. </span></b><span style="border: 1pt none; color: #231f20; font-family: arial, sans-serif; padding: 0cm;">4</span><span style="font-family: arial, sans-serif;"><o:p></o:p></span></div>
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<b><span style="border: 1pt none; color: #dd443a; font-family: helvetica, sans-serif; padding: 0cm;">C. </span></b><span style="border: 1pt none; color: #231f20; font-family: arial, sans-serif; padding: 0cm;">6</span><span style="font-family: arial, sans-serif;"><o:p></o:p></span></div>
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<b><span style="border: 1pt none; color: #dd443a; font-family: helvetica, sans-serif; padding: 0cm;">D. </span></b><span style="border: 1pt none; color: #231f20; font-family: arial, sans-serif; padding: 0cm;">–4<o:p></o:p></span></div>
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<b><span style="border: 1pt none; color: #dd443a; font-family: helvetica, sans-serif; padding: 0cm;">5. </span></b><b><span style="border: 1pt none; color: #231f20; font-family: helvetica, sans-serif; padding: 0cm;">El resultado de (80 – 100) + 50 – 30 es:<o:p></o:p></span></b></div>
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<b><span style="border: 1pt none; color: #dd443a; font-family: helvetica, sans-serif; padding: 0cm;">A. </span></b><span style="border: 1pt none; color: #231f20; font-family: arial, sans-serif; padding: 0cm;">–100</span><span style="font-family: arial, sans-serif;"><o:p></o:p></span></div>
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<b><span style="border: 1pt none; color: #dd443a; font-family: helvetica, sans-serif; padding: 0cm;">B. </span></b><span style="border: 1pt none; color: #231f20; font-family: arial, sans-serif; padding: 0cm;">60</span><span style="font-family: arial, sans-serif;"><o:p></o:p></span></div>
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<b><span style="border: 1pt none; color: #dd443a; font-family: helvetica, sans-serif; padding: 0cm;">C. </span></b><span style="border: 1pt none; color: #231f20; font-family: arial, sans-serif; padding: 0cm;">40</span><span style="font-family: arial, sans-serif;"><o:p></o:p></span></div>
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<b><span style="border: 1pt none; color: #dd443a; font-family: helvetica, sans-serif; padding: 0cm;">D. </span></b><span style="border: 1pt none; color: #231f20; font-family: arial, sans-serif; padding: 0cm;">0<o:p></o:p></span></div>
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<b><span style="border: 1pt none; color: #dd443a; font-family: helvetica, sans-serif; padding: 0cm;">6. </span></b><b><span style="border: 1pt none; color: #231f20; font-family: helvetica, sans-serif; padding: 0cm;">Claudia tiene 50 dulces y regala 22 a su amiga Carmen. <span style="letter-spacing: -0.75pt;">Para premiar el lindo gesto, su mamá le </span>compró 30 dulces más. ¿Cuál de las siguientes operaciones combinadas expresa la cantidad final de dulces que tiene Claudia?<o:p></o:p></span></b></div>
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<b><span style="border: 1pt none; color: #dd443a; font-family: helvetica, sans-serif; padding: 0cm;">A. </span></b><span style="border: 1pt none; color: #231f20; font-family: arial, sans-serif; padding: 0cm;">(50 + 22) + 30</span><span style="font-family: arial, sans-serif;"><o:p></o:p></span></div>
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<b><span style="border: 1pt none; color: #dd443a; font-family: helvetica, sans-serif; padding: 0cm;">B. </span></b><span style="border: 1pt none; color: #231f20; font-family: arial, sans-serif; padding: 0cm;">(50 – 22) – 30</span><span style="font-family: arial, sans-serif;"><o:p></o:p></span></div>
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<b><span style="border: 1pt none; color: #dd443a; font-family: helvetica, sans-serif; padding: 0cm;">C. </span></b><span style="border: 1pt none; color: #231f20; font-family: arial, sans-serif; padding: 0cm;">(50 – 22) + 30</span><span style="font-family: arial, sans-serif;"><o:p></o:p></span></div>
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<b><span style="border: 1pt none; color: #dd443a; font-family: helvetica, sans-serif; padding: 0cm;">D. </span></b><span style="border: 1pt none; color: #231f20; font-family: arial, sans-serif; padding: 0cm;">(50 – 30) + 22<o:p></o:p></span></div>
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<b><span style="border: 1pt none; color: #dd443a; font-family: helvetica, sans-serif; padding: 0cm;">7. </span></b><b><span style="border: 1pt none; color: #231f20; font-family: helvetica, sans-serif; padding: 0cm;">Si a = –3 y b = 4, el valor de ((a + b) – 2) es:<o:p></o:p></span></b></div>
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<b><span style="border: 1pt none; color: #dd443a; font-family: helvetica, sans-serif; padding: 0cm;">A. </span></b><span style="border: 1pt none; color: #231f20; font-family: arial, sans-serif; padding: 0cm;">–9</span><span style="font-family: arial, sans-serif;"><o:p></o:p></span></div>
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<b><span style="border: 1pt none; color: #dd443a; font-family: helvetica, sans-serif; padding: 0cm;">B. </span></b><span style="border: 1pt none; color: #231f20; font-family: arial, sans-serif; padding: 0cm;">–3</span><span style="font-family: arial, sans-serif;"><o:p></o:p></span></div>
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<b><span style="border: 1pt none; color: #dd443a; font-family: helvetica, sans-serif; padding: 0cm;">C. </span></b><span style="border: 1pt none; color: #231f20; font-family: arial, sans-serif; padding: 0cm;">–1</span><span style="font-family: arial, sans-serif;"><o:p></o:p></span></div>
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<b><span style="border: 1pt none; color: #dd443a; font-family: helvetica, sans-serif; padding: 0cm;">D. </span></b><span style="border: 1pt none; color: #231f20; font-family: arial, sans-serif; padding: 0cm;">1<o:p></o:p></span></div>
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<b><span style="border: 1pt none; color: #231f20; font-family: arial, sans-serif; letter-spacing: 0.75pt; padding: 0cm;">I. Coloca el signo < o >, según corresponda.<o:p></o:p></span></b></div>
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<b><span style="border: 1pt none; color: #dd443a; font-family: arial, sans-serif; padding: 0cm;">A) </span></b><span style="border: 1pt none; color: #231f20; font-family: arial, sans-serif; padding: 0cm;">–5 –---- –4</span><span style="font-family: arial, sans-serif;"><o:p></o:p></span></div>
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<b><span style="border: 1pt none; color: #dd443a; font-family: arial, sans-serif; padding: 0cm;">B) </span></b><span style="border: 1pt none; color: #231f20; font-family: arial, sans-serif; padding: 0cm;">|–7| ------ 8</span><span style="font-family: arial, sans-serif;"><o:p></o:p></span></div>
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<b><span style="border: 1pt none; color: #dd443a; font-family: arial, sans-serif; padding: 0cm;">C) </span></b><span style="border: 1pt none; color: #231f20; font-family: arial, sans-serif; letter-spacing: -0.75pt; padding: 0cm;">0 ------- 10</span><span style="font-family: arial, sans-serif;"><o:p></o:p></span></div>
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<span style="font-family: arial, sans-serif;">D) -4 ------ 3<o:p></o:p></span></div>
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<span style="font-family: arial, sans-serif;">e) 8 ------ -- 9<o:p></o:p></span></div>
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<b><span style="border: 1pt none; color: #231f20; font-family: arial, sans-serif; padding: 0cm;">II. Ordena de menor a mayor los números enteros –6, –26, 16, 6, –16 y 26.<o:p></o:p></span></b></div>
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<span style="border: 1pt none; color: #231f20; font-family: wingdings; padding: 0cm;">ß</span><span style="border: 1pt none; color: #231f20; font-family: arial, sans-serif; padding: 0cm;">----------- </span><span style="border: 1pt none; color: #231f20; font-family: wingdings; padding: 0cm;">ß</span><span style="border: 1pt none; color: #231f20; font-family: arial, sans-serif; padding: 0cm;">----------- </span><span style="border: 1pt none; color: #231f20; font-family: wingdings; padding: 0cm;">ß</span><span style="border: 1pt none; color: #231f20; font-family: arial, sans-serif; padding: 0cm;">------------- </span><span style="border: 1pt none; color: #231f20; font-family: wingdings; padding: 0cm;">ß</span><span style="border: 1pt none; color: #231f20; font-family: arial, sans-serif; padding: 0cm;">------------- </span><span style="border: 1pt none; color: #231f20; font-family: wingdings; padding: 0cm;">ß</span><span style="border: 1pt none; color: #231f20; font-family: arial, sans-serif; padding: 0cm;">------------</span><span style="font-family: arial, sans-serif;"><o:p></o:p></span></div>
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<b><span style="border: 1pt none; color: #231f20; font-family: arial, sans-serif; letter-spacing: 4.5pt; padding: 0cm;">III. Resuelve.<o:p></o:p></span></b></div>
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<b><span style="border: 1pt none; color: #dd443a; font-family: arial, sans-serif; padding: 0cm;">A) </span></b><span style="border: 1pt none; color: #231f20; font-family: arial, sans-serif; padding: 0cm;">3 + (–8) =</span><span style="font-family: arial, sans-serif;"><o:p></o:p></span></div>
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<b><span style="border: 1pt none; color: #dd443a; font-family: arial, sans-serif; padding: 0cm;">B) </span></b><span style="border: 1pt none; color: #231f20; font-family: arial, sans-serif; padding: 0cm;">9 – (–2) =<o:p></o:p></span></div>
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<span style="border: 1pt none; color: #231f20; font-family: arial, sans-serif; padding: 0cm;">C) (-6) – (-4) =<o:p></o:p></span></div>
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<span style="border: 1pt none; color: #231f20; font-family: arial, sans-serif; padding: 0cm;">D) (-5)-(-_7)=<o:p></o:p></span></div>
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<b><span style="border: 1pt none; color: #231f20; font-family: arial, sans-serif; padding: 0cm;">IV. Resuelve las siguientes operaciones combinadas.</span></b><span style="font-family: arial, sans-serif;"><o:p></o:p></span></div>
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<span style="border: 1pt none; color: #231f20; font-family: arial, sans-serif; padding: 0cm;">A) (–3) – [5 + (–7)]=</span><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; color: #231f20; font-family: arial, sans-serif;"> <o:p></o:p></span></div>
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<span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; color: #231f20; font-family: arial, sans-serif;"> <o:p></o:p></span></div>
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<span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; color: #231f20; font-family: arial, sans-serif;"> B) 8 – [(–3) + 2 – 9)]<span class="apple-converted-space"> =<o:p></o:p></span></span></div>
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<b><span style="border: 1pt none; color: #231f20; font-family: arial, sans-serif; padding: 0cm;">V. Inventa un problema que pueda ser resuelto con operatoria combinada de números enteros y resuélvelo de acuerdo a los siguientes pasos:<o:p></o:p></span></b></div>
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<b><span style="border: 1pt none; color: #dd443a; font-family: arial, sans-serif; padding: 0cm;">a) </span></b><span style="border: 1pt none; color: #231f20; font-family: arial, sans-serif; padding: 0cm;">Escribe el problema.</span><span style="font-family: arial, sans-serif;"><o:p></o:p></span></div>
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<b><span style="border: 1pt none; color: #dd443a; font-family: arial, sans-serif; padding: 0cm;">b) </span></b><span style="border: 1pt none; color: #231f20; font-family: arial, sans-serif; padding: 0cm;">Identifica los datos del problema: ¿qué sabes de él?, ¿qué debes encontrar?, ¿cómo lo resolverás?</span><span style="font-family: arial, sans-serif;"><o:p></o:p></span></div>
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<b><span style="border: 1pt none; color: #dd443a; font-family: arial, sans-serif; padding: 0cm;">c) </span></b><span style="border: 1pt none; color: #231f20; font-family: arial, sans-serif; padding: 0cm;">Resuelve el problema. verifica la solución encontrada<o:p></o:p></span></div>
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<span style="border: 1pt none; color: #231f20; font-family: arial, sans-serif; padding: 0cm;">JUSTIFICAR TODAS LAS RESPUESTAS</span></div>
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David montenegrohttp://www.blogger.com/profile/12104593147060605502noreply@blogger.com1tag:blogger.com,1999:blog-2802058073099134395.post-85099275089936952702019-03-24T09:02:00.004-07:002019-03-24T09:17:09.605-07:00NÚMEROS ENTEROS DAVID GRADO 7°<div style="background-color: white; color: #414b56; font-family: Arial, Verdana, sans-serif; font-size: 13.3333px; margin: 0cm 0cm 0pt 36.75pt;">
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<span style="font-size: 14pt;">A)</span><span style="font-family: "times new roman"; font-size: 7pt; font-stretch: normal; line-height: normal;"> </span><span style="font-family: "times new roman"; font-stretch: normal; line-height: normal;"> <span style="font-size: large;">(-8)</span></span><span style="font-size: 14pt;">+ (–3) + (+3) + (–5) + (–2) = </span></div>
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<span style="font-size: small;"><span style="font-size: 14pt;">B)<span style="font-family: "times new roman"; font-size: 7pt; font-stretch: normal; line-height: normal;"> </span></span><span style="font-size: 14pt;"> (–2)+(–7)+(+3)+(–4)+(–11)=</span></span></div>
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<span style="font-size: small;"><span style="font-size: 14pt;">C)<span style="font-family: "times new roman"; font-size: 7pt; font-stretch: normal; line-height: normal;"> </span></span><span style="font-size: 14pt;"> (–7) – (– 4) +(–5) + (–10) + (– 2) – (–13) = </span></span></div>
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<span style="font-size: small;"><span style="font-size: 14pt;">D)<span style="font-family: "times new roman"; font-size: 7pt; font-stretch: normal; line-height: normal;"> </span></span><span style="font-size: 14pt;"> (+8)–(–4)–(+4)–(+10)–(–5)–(–8) = </span></span></div>
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<span style="font-size: small;"><span style="font-size: 14pt;">E)<span style="font-family: "times new roman"; font-size: 7pt; font-stretch: normal; line-height: normal;"> </span></span><span style="font-size: 14pt;"> –2 + 8 –8 + 10 –20 + 5 – 7 = </span></span></div>
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<span style="font-size: small;"><span style="font-size: 14pt;">F)<span style="font-family: "times new roman"; font-size: 7pt; font-stretch: normal; line-height: normal;"> </span></span><span style="font-size: 14pt;"> 9–7+11–20+12–23+5–5–12 = </span></span></div>
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<span style="font-size: small;"><span style="font-size: 14pt;">G)<span style="font-family: "times new roman"; font-size: 7pt; font-stretch: normal; line-height: normal;"> </span></span><span style="font-size: 14pt;"> – { 3 - 4 – 7 – [–5–7 + (6 – 7+ 5 ) ] } +8 =</span></span></div>
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<span style="font-size: small;"><span style="font-size: 14pt;">H)<span style="font-family: "times new roman"; font-size: 7pt; font-stretch: normal; line-height: normal;"> </span></span><span style="font-size: 14pt;"> 5+[(–5+10) + (–2–9)+(–8+2)] – 6 +7 =</span></span></div>
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<span style="font-size: small;"><span style="font-size: 14pt;">I)<span style="font-family: "times new roman"; font-size: 7pt; font-stretch: normal; line-height: normal;"> </span></span><span style="font-size: 14pt;"> – [ – (–6+5 – 10+3 –15 ) ] = </span></span></div>
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<span style="font-size: small;"><span style="font-size: 14pt;">J)<span style="font-family: "times new roman"; font-size: 7pt; font-stretch: normal; line-height: normal;"> </span></span><span style="font-size: 14pt;">{ – [ – ( –20 +15 –7) – 8]– 6 }+7–(–3) = </span></span></div>
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<span style="font-size: 18.6667px;">Efectuar:</span></div>
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<span style="font-size: small;"><span style="font-size: 14pt;">A)<span style="font-family: "times new roman"; font-size: 7pt; font-stretch: normal; line-height: normal;"> </span></span><span style="font-size: 14pt;"> (+12) x (–17) = </span></span></div>
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<span style="font-size: small;"><span style="font-size: 14pt;">B)<span style="font-family: "times new roman"; font-size: 7pt; font-stretch: normal; line-height: normal;"> </span></span><span style="font-size: 14pt;"> (–90) x (–5) = </span></span></div>
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<span style="font-size: small;"><span style="font-size: 14pt;">C)<span style="font-family: "times new roman"; font-size: 7pt; font-stretch: normal; line-height: normal;"> </span></span><span style="font-size: 14pt;"> (– 6)x(+5)x(–8)x(–3)= </span></span></div>
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<span style="font-size: small;"><span style="font-size: 14pt;">D)<span style="font-family: "times new roman"; font-size: 7pt; font-stretch: normal; line-height: normal;"> </span></span><span style="font-size: 14pt;"> (– 456) x (+45) = </span></span></div>
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<span style="font-size: small;"><span style="font-size: 14pt;">E)<span style="font-family: "times new roman"; font-size: 7pt; font-stretch: normal; line-height: normal;"> </span></span><span style="font-size: 14pt;"> (–450) </span><span style="font-family: "symbol"; font-size: 14pt;">¸</span><span style="font-size: 14pt;"> (–9) = </span></span></div>
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<span style="font-size: 18.6667px;">Efectuar:</span></div>
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<span style="font-size: small;"><span style="font-size: 14pt;">A)<span style="font-family: "times new roman"; font-size: 7pt; font-stretch: normal; line-height: normal;"> </span></span><span style="font-size: 14pt;"> (745) </span><span style="font-family: "symbol"; font-size: 14pt;">¸</span><span style="font-size: 14pt;"> (–5) = </span></span></div>
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<span style="font-size: small;"><span style="font-size: 14pt;">B)<span style="font-family: "times new roman"; font-size: 7pt; font-stretch: normal; line-height: normal;"> </span></span><span style="font-size: 14pt;"> (6.913.536) </span><span style="font-family: "symbol"; font-size: 14pt;">¸</span><span style="font-size: 14pt;"> (–56) = </span></span></div>
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<span style="font-size: small;"><span style="font-size: 14pt;">C)<span style="font-family: "times new roman"; font-size: 7pt; font-stretch: normal; line-height: normal;"> </span></span><span style="font-size: 14pt;"> (-1.584.312) </span><span style="font-family: "symbol"; font-size: 14pt;">¸</span><span style="font-size: 14pt;"> (-789) = </span></span></div>
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<span style="font-size: small;"><span style="font-size: 14pt;">D)<span style="font-family: "times new roman"; font-size: 7pt; font-stretch: normal; line-height: normal;"> </span></span><span style="font-size: 14pt;"> (92.643.240) </span><span style="font-family: "symbol"; font-size: 14pt;">¸</span><span style="font-size: 14pt;"> (–908) = </span></span></div>
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David montenegrohttp://www.blogger.com/profile/12104593147060605502noreply@blogger.com0tag:blogger.com,1999:blog-2802058073099134395.post-67953670827441542202018-11-20T21:39:00.003-08:002018-11-21T08:58:57.697-08:00<br />
TALLER GRADO SEXTO DAVID<br />
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<span style="border: 1pt none; font-family: "arial" , sans-serif; font-size: 14pt; padding: 0cm;">1.- Un
cine que tiene capacidad para </span><b><span style="border: 1pt none; font-family: "verdana" , sans-serif; font-size: 14pt; letter-spacing: -0.75pt; padding: 0cm;">1
800 </span></b><span style="border: 1pt none; font-family: "arial" , sans-serif; font-size: 14pt; padding: 0cm;">personas
vendió </span><b><span style="border: 1pt none; font-family: "verdana" , sans-serif; font-size: 14pt; padding: 0cm;">7 / 9</span></b><br />
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<span style="border: 1pt none; font-family: "arial" , sans-serif; font-size: 14pt; padding: 0cm;">de
sus entradas.</span><span class="l6"><span style="border: 1pt none; font-family: "arial" , sans-serif; font-size: 71.5pt; padding: 0cm;"> </span></span><span class="l6"><span style="border: 1pt none; font-family: "arial" , sans-serif; font-size: 14pt; padding: 0cm;">¿Cuántas entradas </span></span><span class="l8"><span style="border: 1pt none; font-family: "arial" , sans-serif; font-size: 14pt; padding: 0cm;">se </span></span><span class="a"><span style="border: 1pt none; font-family: "arial" , sans-serif; font-size: 14pt; padding: 0cm;"><span style="word-spacing: -7px;">vendieron? </span></span></span><span style="font-family: "arial" , sans-serif; font-size: 14pt;"><o:p></o:p></span></div>
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<span style="border: 1pt none; font-family: "arial" , sans-serif; font-size: 14pt; padding: 0cm;">2. Manuela compró para su fiesta </span><b><span style="border: 1pt none; font-family: "verdana" , sans-serif; font-size: 14pt; padding: 0cm;">48 </span></b><span style="border: 1pt none; font-family: "arial" , sans-serif; font-size: 14pt; padding: 0cm;">litros de bebidas. Si se reparten</span></div>
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<b><span style="border: 1pt none; font-family: "verdana" , sans-serif; font-size: 14pt; padding: 0cm;">1/ 4
</span></b><span style="border: 1pt none; font-family: "arial" , sans-serif; font-size: 14pt; padding: 0cm;">litros.
¿Cuántos litros de bebida quedaron después de la fiesta?</span><span style="font-family: "arial" , sans-serif; font-size: 14pt;"><o:p></o:p></span></div>
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<span style="font-size: 14.0pt; line-height: 115%;">3. Una gasolinera llenó su estanque con <b>300
</b>litros de combustible. Si se han
vendido <b>6/18 </b>litros ¿Cuántos litros quedan por
vender? <o:p></o:p></span></div>
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<span style="font-size: 14.0pt; line-height: 115%;">4. Una librería adquirió <b>6 960
</b>libros para vender en marzo. Si ya ha vendido<o:p></o:p></span></div>
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<span style="font-size: 14.0pt; line-height: 115%;">3/ 4 de los libros.</span> <span style="font-size: 14.0pt; line-height: 115%;">¿Cuántos libros no ha vendido?<o:p></o:p></span></div>
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<span style="font-size: 14.0pt; line-height: 115%;">EFECTUAR</span></div>
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<br />David montenegrohttp://www.blogger.com/profile/12104593147060605502noreply@blogger.com0