Question

1. true or false. opposite numbers have the same absolute value.

Explanation:

Step1: Define opposite numbers

Opposite numbers are numbers like \(a\) and \(-a\).

Step2: Recall absolute - value definition

The absolute value of a number \(x\), denoted as \(|x|\), is the non - negative value of \(x\). So \(|a| = a\) if \(a\geq0\) and \(|a|=-a\) if \(a < 0\), and \(|-a| = a\) if \(a\geq0\) and \(|-a|=-(-a)=a\) if \(a < 0\).

Answer:

True