Question

match the expression on the left with its simplified form on the right. answer options on the right may be used more than once. -(-6) -|-6| |-6| -|6| 6 -6 click and hold an item in one column, then drag it to the matching item in the other column. be sure your cursor is over the target before releasing. need help? watch this video. clear

Explanation:

Step1: Recall the absolute - value definition

The absolute value of a number \(a\), denoted as \(|a|\), is \(a\) if \(a\geq0\) and \(-a\) if \(a < 0\).

Step2: Simplify each expression

• For \(-(-6)\), two negative signs cancel out, so \(-(-6)=6\).
• For \(|6|\), since \(6\geq0\), \(|6| = 6\).
• For \(|-6|\), since \(-6<0\), \(|-6|=-(-6)=6\).
• For \(-|6|\), first \(|6| = 6\), then \(-|6|=-6\).
• For \(-|-6|\), first \(|-6| = 6\), then \(-|-6|=-6\).

Answer:

\(-(-6)\) matches with \(6\), \(|6|\) matches with \(6\), \(|-6|\) matches with \(6\), \(-|6|\) matches with \(-6\), \(-|-6|\) matches with \(-6\)