Comparing Absolute Values: Are -|-801| and |+801| Opposite Numbers?

Are the numbers opposite?

801,+801 -\left|-801\right|,\left|+801\right|

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1

Understand the problem

Are the numbers opposite?

801,+801 -\left|-801\right|,\left|+801\right|

2

Step-by-step solution

To solve this problem, we will evaluate each expression involving absolute value separately and then determine if they are opposites.

  • Step 1: Evaluate the absolute value of -801:
    801=801\left|-801\right| = 801 because the absolute value is the positive value or magnitude of the number.
  • Step 2: Evaluate the absolute value of +801:
    +801=801\left|+801\right| = 801 since the absolute value of a positive number is the number itself.
  • Step 3: Negate the result of the first step:
    801=801-\left|-801\right| = -801.
  • Step 4: Compare 801-801 and 801801:
    These numbers have the same magnitude (801) but opposite signs.

Therefore, the numbers 801-\left|-801\right| and +801\left|+801\right| are indeed opposites.

The correct choice is Yes.

3

Final Answer

Yes

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Determine the absolute value of the following number:

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

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