Comparing Absolute Values: Are |-5| and |5| Opposite Numbers?

Question

Are these numbers opposite?

5,5 \left|-5\right|,\left|5\right|

Step-by-Step Solution

The opposite of a number is defined as the number with the same absolute value but different signs.

We have:

5=5 \left|-5\right| = 5 and 5=5 \left|5\right| = 5 .

Both these absolute values are equal and positive, meaning they are the same number, not opposites. Therefore, the numbers are not opposite.

Answer

No