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An integer is added to its own additive inverse, and then −13 is added to that result. What is the final answer?

Class 6IntegersIntegers
  • A0
  • B13
  • C−13
  • D−26

Step-by-Step Solution

An integer plus its additive inverse is always 0, whatever the integer happened to be. Then 0 + (−13) = −13. Answering 0 stops one step early, at the sum of the inverse pair.
Answer: C) −13

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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