Additive Inverse

Definition

Two numbers are additive inverses if they add to give a sum of zero.

Examples

3 and -3 are additive inverses since 3 + (-3) = 0.

- -3 is the additive inverse of 3.
- 3 is the additive inverse of -3.

x and -x are additive inverses since x + (-x) = 0.

- -x is the additive inverse of x.
- x is the additive inverse of -x.

(2x - 3) and -(2x - 3) are additive inverses since (2x - 3) + [-(2x - 3)] = 0. Since -(2x - 3) = -2x + 3, (2x - 3) and (-2x + 3) are additive inverses.

- -(2x - 3) is the additive inverse of (2x - 3).
- (2x - 3) is the additive inverse of -(2x - 3).