Compare Absolute Values: Analyzing -|-81| and |9²|

Are the numbers opposite?

81,92 -\left|-81\right|,\left|9^2\right|

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1

Understand the problem

Are the numbers opposite?

81,92 -\left|-81\right|,\left|9^2\right|

2

Step-by-step solution

To solve this problem, let's proceed with the required steps:

  • Step 1: Calculate the absolute value 81\left|-81\right|.
    81=81\left|-81\right| = 81.
  • Step 2: Apply a negative sign to 81\left|-81\right|:
    81=81-\left|-81\right| = -81.
  • Step 3: Calculate the absolute value 92\left|9^2\right|.
    First, evaluate 92=819^2 = 81, so 81=81\left|81\right| = 81.
  • Step 4: Compare 81-81 and 8181.
    The numbers 81-81 and 8181 are indeed opposites since one is the negative of the other.

Therefore, the solution to the problem is Yes, the numbers are opposites.

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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