Question

1. which diagram represents the expression |-5|?

Explanation:

Step1: Recall absolute - value definition

The absolute value of a number \(|a|\) is the distance of the number \(a\) from 0 on the number - line. For \(| - 5|\), we need to find the distance of - 5 from 0 on the number - line.

Step2: Analyze the number - line diagrams

The distance from - 5 to 0 on the number - line is 5 units. We are looking for a diagram that shows a segment of length 5 units starting from - 5 and ending at 0.

Answer:

The first diagram (the one that shows a 5 - unit segment starting from - 5 and ending at 0) represents the expression \(| - 5|\).