Definition:

Absolute value:

if x is a real number, then

\(|x| = x\ when\ x\geq 0\)

\(|x|=-x\ when\ x<0\)

This definition indicates that when x is positive or 0, then x is its own absolute value.

However, when x is negative, then -x is its absolute value. Thus |x|is also non-negative.

\(|x|\geq 0\) for all real numbers x

Given:

\(|0|\)

In this case, we will use the definition of absolute value.

\(|0| = 0\)

Final Statement:

Therefore, \(|0| = 0\)