Comparing Absolute Values: Are -|-56| and |+56| Opposite Numbers?

Question

Are the numbers opposite?

56,+56 -\left|-56\right|,\left|+56\right|

Step-by-Step Solution

The opposite of a number is what you add to a number to get zero. The opposite of a positive number is a negative number. And the opposite of a negative number is a positive number.

For instance, the opposite of the number 5656 is 56-56.

In this question, we are dealing with 56-\left|-56\right| and +56\left|+56\right|.

The absolute value of a number is the distance from zero, which is always positive. Hence, +56=56\left|+56\right| = 56 and 56=56\left|-56\right| = 56.

Therefore, 56=56-\left|-56\right| = -56 and +56=56+\left|56\right| = 56.

Thus, 56-56 and 5656 are opposites, and the answer is Yes.

Answer

Yes