Question

1. evaluate |-9.75| =

Explanation:

Step1: Recall absolute value definition

The absolute value of a number \( x \), denoted \( |x| \), is the distance of \( x \) from 0 on the number line. For a negative number \( -a \) (where \( a>0 \)), \( |-a| = a \).

Step2: Apply the definition to \( |-9.75| \)

Here, \( a = 9.75 \), so using the definition of absolute value, \( |-9.75| = 9.75 \).

Answer:

\( 9.75 \)