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CLEI I
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Propósito
<p>Taller # 3</p><p>Que los niños utilicen los múltiplos y divisores de un número para resolver problemas.</p>
Motivación
<p><img src="/web/uploads/6912/84be170599-captura-de-pantalla-204.png" alt="" style="display: block; margin: auto;"></p><p>Haz click <a href="https://aprende.colombiaaprende.edu.co/sites/default/files/naspublic/ContenidosAprender/G_4/M/M_G04_U01_L04/M_G04_U01_L04_01_01.html" target="_blank">video</a><br></p>
Explicación
<p><img src="data:image/png;base64,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" alt="" style="display: block; margin: auto;"></p><p>Un <b>múltiplo</b> es el resultado entero de multiplicar un <b>número</b> natural cualquiera por otro.</p><p>Los <b>divisores de un número</b> son los <b>números</b> que pueden dividirlo de forma exacta<span class="redactor-invisible-space">.</span><br></p><p><br></p><p><img src="/web/uploads/6912/a30b6ff6a6-captura-de-pantalla-205.png" alt="" style="display: block; margin: auto;"></p>M = Múltiplos<p>D = Divisores</p>
Ejercicios
<p>1. Escribe los múltiplos de los siguientes números.</p><p> a. 4 , b. 8 , c. 12 , , d. 14 , e. 60 </p><p>2. Escribe el conjunto de los divisores de cada uno de los siguientes números.</p><p> a. 16 , b. 11 , c. 42 , d.45 , e. 50</p><p>3. Escribe 3 múltiplos de los números que se indican. Observa el ejemplo.</p><p><img src="/web/uploads/6912/8b585fa7d0-captura-de-pantalla-206.png"></p><p><img src="/web/uploads/6912/f5029f9a19-captura-de-pantalla-207.png" width="472" height="529" style="width: 472px; height: 529px;"></p><p>4. Escriba los divisores de los números indicados.</p><p><img src="/web/uploads/6912/4cbbb1482d-captura-de-pantalla-208.png" width="420" height="393" style="width: 420px; height: 393px;"></p><p> 5. Resolver los ejercicios.</p><p><img src="/web/uploads/6912/4cefdc4850-captura-de-pantalla-209.png" width="447" height="498" style="width: 447px; height: 498px;"></p><p> El Mínimo común múltiplo de dos o más números es el menor múltiplo común de los números, diferente de 0.</p><p>Método : escribir en orden los primeros múltiplos de cada número.</p><p> Hallar los múltiplos comunes.</p><p> Seleccionar el menor número diferente de 0</p><p>Ejemplo : Hallar el mínimo común múltiplo (m.c.m) de (8,12)</p><p>M(8 )= ( 0,8,16,24,32,40,48,56,64,72,...)</p><p>M(12) = (0,12,24,36,48,60,72,84,96,...</p><p>Múltiplos comunes de 8 y 12 = ( 0, 24,48,72,...)</p><p>m.c.m.(8,12) = 24 porque 24 es el menor de los múltiplos comunes diferente de 0.</p><p>6. Resolver </p><p><img src="/web/uploads/6912/ac4974700c-captura-de-pantalla-217.png" width="399" height="519" style="width: 399px; height: 519px;"></p><p>Máximo común divisor (m.c.d.) de dos o más números es el mayor divisor común de los números.</p><p>Método : Escribir la lista de los divisores de cada número.</p><p> Seleccionar el mayor divisor común.</p><p>Ejemplo : Hallar el máximo común divisor (m.c.d.) de 60 y 36</p><p>D (60) = ( 1,2,3,4,5,6,10,12,15,20,30,60)</p><p>D (36) = (1,2,3,4,6,9,12,18,36)</p><p>Divisores comunes de 60 y 36 = (1,2,3,4,6,12)</p><p>m.c.d.(60,36) = 12 porque 12 es el mayor de los divisores comunes.</p><p>7 . Hallar el máximo común divisor (m.c.d.) entre los siguientes números.</p><p>a. 6 y 12 , b. 10, 20 y 30 c. 16 y 18 , d. 25 y 10</p>
Evidencia
Evaluación
<p>1. Contesta las siguientes preguntas:</p><p>a. ¿El conjunto de los números naturales es un conjunto finito o infinito?</p><p>b. Explica por qué el conjunto de múltiplos de un número natural es infinito.</p><p>c. Escribe 5 múltiplos de 9.</p><p>d. ¿Podemos hallar el menor múltiplo de 9? </p><p> ¿ Y el mayor múltiplo de 9? explica.</p><p><img src="/web/uploads/6912/ae047908b8-captura-de-pantalla-227.png" width="390" height="286" style="width: 390px; height: 286px;"></p><p><img src="/web/uploads/6912/f9257d396e-captura-de-pantalla-233.png" style="width: 432px; height: 380px;" width="432" height="380"></p><p><img src="/web/uploads/6912/4370d79458-captura-de-pantalla-234.png" width="523" height="252" style="width: 523px; height: 252px;"></p><p><img src="/web/uploads/6912/bbd9b3e9e4-captura-de-pantalla-235.png" style=""></p><p><br></p>
Bibliografía
<p>Capsulas de Colombia Aprende</p><p>avanza matematicas 4. , Norma</p><p>Soluciones 4. Futuro.</p>
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