Comparing Absolute Values: Are |-7| and |7| Opposite Numbers?

Question

Are the numbers opposite?

7,7 \left|-7\right|,\left|7\right|

Step-by-Step Solution

The opposite of a number is the number with the same magnitude but different sign. The absolute value of a number is always positive or zero. Let's examine the given numbers:

7 \left|-7\right| represents the absolute value of -7, which is 7.

7 \left|7\right| represents the absolute value of 7, which is also 7.

Since both absolute values are equal and positive, they represent the same number, not opposites. Therefore, they are not opposite numbers.

Answer

No