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

Are the numbers opposite?

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

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1

Understand the problem

Are the numbers opposite?

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

2

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.

3

Final Answer

Yes

Practice Quiz

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Determine the absolute value of the following number:

\( \left|18\right|= \)

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