Compare Absolute Values: Are |-3| and |3| Opposite Numbers?

Question

Are the numbers opposite?

3,3 \left|-3\right|,\left|3\right|

Video Solution

Step-by-Step Solution

To determine if the numbers are opposites, consider the following:

  • Step 1: Calculate the absolute values:
    • 3=3\left|-3\right| = 3
    • 3=3\left|3\right| = 3
  • Step 2: Evaluate whether these numbers are opposites.

For two numbers to be opposites in a mathematical context, they must be equidistant from zero on the number line but in opposite directions. Since both calculations give us 3 3 and 3 3 , they are the same numbers, not opposites.

Therefore, the answer to the question is No.

Answer

No