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CLEI I
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Propósito
<p>determinar a) el valor absoluto de un número entero b) el opuesto de un numero entero</p>
Motivación
<p>¿cuál es el valor absoluto de un número positivo? </p><p>¿cuál es el valor absoluto de un número negativo? </p><p>¿cuál es el opuesto de un número entero?</p>
Explicación
<p>El <b>valor absoluto</b> de un número entero es la distancia que separa al número cero "0".</p><p>La distancia es una magnitud que siempre es positiva</p><p>Primer Ejemplo: </p><p>Para hallar el valor absoluto del número entero menos 7, se localizan los números desde el cero hasta -7 en la recta numérica</p><p><img src="data:image/png;base64,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" alt=""></p><p>se puede observar que la distancia desde -7 hasta 0 es de 7 unidades, por lo tanto, el valor absoluto de -7 es 7 unidades, lo cual se indica escribiendo el numero entre dos barras paralelas así | -7 | = 7 y se lee valor absoluto de menos siete igual a siete</p><p>segundo Ejemplo: </p><p>Para hallar el valor absoluto del número entero +5, se localizan los números desde el cero hasta el cinco en la recta numérica</p><p>Gráficamente se determina que la distancia que separa el número 5 de la posición del número es 5 unidades, lo cual se indica con la siguiente escribiendo | +5| = 5 y se lee valor absoluto de cinco igual a cinco </p><p>El valor absoluto siempre es positivo </p><p>De este modo se observa que siempre se pueden hallar dos números enteros que tienen el mismo valor absoluto, por ejemplo:</p><p>| -7| = 7 y | +7| = 7</p><p>es decir, tanto el número -7 como el número +7 tienen el mismo valor absoluto</p><p><b> OPUESTO DE UN <b>NÚMERO ENTERO</b></b></p><p>Si dos números enteros tienen el mismo valor absoluto se dice que son opuestos, ejemplos:</p><p>como | -9 | = 9 y | +9 | = 9 los números -9 y 9 son números opuestos.</p><p>Tercer Ejemplo: </p><p>| -15 | = 15 y | +15 | = 15 es decir -15 y +15 son números opuestos.</p><p>Cuarto Ejemplo</p><p>| -34 | = 34 y | +34 | =34 es decir - 34 y +34 son números opuestos</p>
Ejercicios
<p>Determine el valor absoluto de los siguientes números enteros</p><p>1) | - 10 | =</p><p><span></span>2) | -42 | =</p><p><span></span>3) | -3 | =</p><p><span></span>4) | +184 I = </p><p><span></span>5) |+169 | =</p><p><span></span>6) | +250 | =</p> <p>Escriba el opuesto de cada número entero</p><p>1) El opuesto de menos 10 es</p><p><span></span>2) El opuesto de menos 42</p><p><span></span>3) El opuesto de menos 3</p><p><span></span>4) El opuesto de +184</p><p><span></span>5) El opuesto de +169</p><p><span></span>6) El opuesto de +250</p>
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