VALOR ABSOLUTO Y DISTANCIA: presentación (grado 10)

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VALOR ABSOLUTO Y DISTANCIA

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VALOR ABSOLUTO

El valor absoluto de un número a denotado por |a| es la distancia de a hasta 0, en la recta de números reales, la distancia siempre es positiva o cero.

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EJEMPLO:

Resuelva:

\left|3\right|

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EJEMPLO:

Resuelva:

\left|-10\right|

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EJEMPLO:

Resuelva:

\left|2-\left|-12\right|\right|

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EJEMPLO:

Resuelva:

\left|\frac{7-12}{12-7}\right|

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DISTANCIA ENTRE PUNTOS SOBRE LA RECTA REAL

si a y b son numeros reales, entonces la distancia entre los puntos a y b sobre la recta real es:

d\left(a,\ b\right)=\left|b-a\right|

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EJEMPLO:

Encuentre la distancia entre los puntos

-8\ y\ 2

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EJEMPLO:

Encuentre la distancia entre los puntos

-2.6\ y\ -1.8

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EJEMPLO:

Encuentre la distancia entre los puntos

\frac{7}{15}\ y\ -\frac{1}{21}

VALOR ABSOLUTO Y DISTANCIA

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