How do you find the absolute value of $abs(0)$ ?

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Answer 1 · 2016-12-09T21:06:22

See explanation.

You can do it either algebraicly or geometrically:

Algebraicly

Absolute value is defined as:

$|x|={(x, x>=0),(-x,x<0) :}$

so if you use this formula for $x=0$ you get: $|0|=0$

Geometrically

Absolute value of $x$ is geometrically defined as the distance between $x$ and $0$ on a number line.

In case of $x=0$ $x$ and $0$ is the same point, so the distance (i.e. the absolute value) is zero.