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The absolute value of a number is defined as the number or its negative - whichever is larger. (Remember that, if you are given a negative number, then ITS negative will be positive).

It can also be defined as the distance of the number on the number line (in 1-dimension) or as the Pythagorean distance between the point and the origin is spaces of 2 or more dimensions. The Pythagorean distance is always the principal (ie POSITIVE) square root of the sum of the squares of distances along a set of orthogonal axes.

Simple question, but rather complicated answer!

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Q: Why is the absolute value of number always nonnegative?
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