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Which statement about additive inverses is TRUE?

Class 6IntegersIntegers
  • AOnly positive integers have an additive inverse.
  • BThe additive inverse of an integer is always negative.
  • CAn integer and its additive inverse always add up to 1.
  • DEvery integer has an additive inverse, and 0 is its own.

Step-by-Step Solution

Each integer pairs with the integer on the other side of zero at the same distance, and 0 + 0 = 0 makes 0 its own partner. The inverse is not always negative — the inverse of −7 is +7 — and an inverse pair always adds to 0, never to 1.
Answer: D) Every integer has an additive inverse, and 0 is its own.

Key idea: Integers on the number line

Draw a line, mark zero in the middle, and step off equal distances. To the right: 1, 2, 3, …. To the left: −1, −2, −3, …. Every integer has its own spot. The further left, the smaller the integer. The further right, the larger. This single picture is the foundation for everything else in this topic — when in doubt, draw the line.

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