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The additive inverse of a certain integer is 23. What is the integer?

Class 6IntegersIntegers
  • A−23
  • B23
  • C0
  • D46

Step-by-Step Solution

Two integers are additive inverses when they add to 0. Since 23 + (−23) = 0, the integer being described is −23. The trap is answering 23 — that is the inverse itself, not the number the question asked for.
Answer: A) −23

Key idea: Comparing integers

On the number line, the integer on the **right** is the **larger** one. So 5 > 2, but also −2 > −5. This often surprises students: even though 5 is bigger than 2, **−5 is smaller than −2**, because −5 is further to the left. Any positive integer is larger than any negative integer, and zero sits between them.

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