7th Grade · The Number System

Opposites

7.NS.A.1a

Definition

Two numbers the same distance from zero on a number line but on opposite sides. The opposite of n is -n, and the sum of opposites is always 0.

Examples

  • The opposite of 5 is -5; the opposite of -8 is 8.
  • 5 + (-5) = 0 — opposites sum to zero.

Key rule

Opposites are also called additive inverses; their sum is zero.

Memory hook

Opposites cancel to zero.