Question
Find all numbers whose absolute value is 8 . If there is more than one, separate them with commas. If there are no such numbers, click on "None".
Ask by Erickson Marshall. in the United States
Feb 27,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
8, -8
Solution
To find all numbers whose absolute value is 8, we can use the definition of absolute value. The absolute value of a number \( x \) is defined as:
\[
|x| = 8
\]
This equation can be split into two cases:
1. \( x = 8 \)
2. \( x = -8 \)
Thus, the numbers whose absolute value is 8 are:
\[
8, -8
\]
So, the final answer is:
**8, -8**
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Simplify this solution Bonus Knowledge
The numbers whose absolute value is 8 are 8 and -8. Absolute value measures how far a number is from zero on the number line, regardless of direction. So both 8 and -8 are equidistant from zero, making them the solutions.
