High School

Identify the opposite and the absolute value of 89.

A. The opposite is [tex]-89[/tex]. [tex]|89|=89[/tex].
B. The opposite is [tex]89[/tex]. [tex]|89|=89[/tex].
C. The opposite is [tex]-89[/tex]. [tex]|89|=-89[/tex].
D. The opposite is [tex]89[/tex]. [tex]|89|=-89[/tex].

Answer :

To correctly identify the opposite and the absolute value of the number 89, follow these steps:

1. Opposite of 89: The opposite of a number is obtained by changing its sign. Therefore, the opposite of 89 is:
[tex]\[
-89
\][/tex]

2. Absolute Value of 89: The absolute value of a number is always non-negative and represents the distance of the number from 0 on the number line. For 89, the absolute value is:
[tex]\[
|89| = 89
\][/tex]

Combining these results:

- The opposite of 89 is [tex]\(-89\)[/tex].
- The absolute value of 89 is [tex]\(89\)[/tex].

Thus, the correct response is:
[tex]\[
\text{The opposite is } -89 \quad \text{and} \quad |89| = 89.
\][/tex]