Question

evaluate the following. |-9| = 0 |10| = 0

Explanation:

Step1: Recall absolute - value definition

The absolute value of a number \(a\), denoted as \(|a|\), is the non - negative value of \(a\). If \(a\geq0\), then \(|a| = a\); if \(a\lt0\), then \(|a|=-a\).

Step2: Evaluate \(|-9|\)

Since \(-9\lt0\), by the definition of absolute value, \(|-9|=-(-9) = 9\).

Step3: Evaluate \(|10|\)

Since \(10\geq0\), by the definition of absolute value, \(|10| = 10\).

Answer:

\(|-9| = 9\), \(|10| = 10\)