Math Problem Statement

solve

Which point is the additive inverse of the number -2?

Solution

To solve this question, we need to find the additive inverse of the number 2-2. The additive inverse of a number xx is the number that, when added to xx, results in zero. In other words, the additive inverse of 2-2 is 22, because:

2+2=0-2 + 2 = 0

Looking at the number line in the image:

  • Point RR is at 5-5,
  • Point PP is at 3-3,
  • Point SS is at 1-1,
  • Point QQ is at 22.

Since 22 is the additive inverse of 2-2, the correct answer is D. point Q.

Would you like further details, or do you have any questions about this?

Here are 5 related questions to deepen your understanding:

  1. What is the additive inverse of 5-5?
  2. How is the additive inverse different from the multiplicative inverse?
  3. Can a number have the same additive inverse and multiplicative inverse?
  4. What is the relationship between the number zero and additive inverses?
  5. How would you find the additive inverse of a fraction?

Tip: The additive inverse of any number xx is always x-x, and it helps bring the sum back to zero.

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Math Problem Analysis

Mathematical Concepts

Number Line
Additive Inverse
Negative Numbers

Formulas

Additive Inverse: x + (-x) = 0

Theorems

Property of Additive Inverses

Suitable Grade Level

Grades 6-8