# Opposite number

number that, when added to the original number, yields zero
(Redirected from Additive inverse)

In mathematics, opposite number or additive inverse of any number is a number n which, if added to n, results in 0 (the identity element of addition). The opposite number for n is written as −n.[1][2][3] For example, −7 is the opposite number of 7, because ${\displaystyle -\!7+7=0}$.

For positive numbers, the opposite number is simply the negative version of the number. For negative numbers, the opposite number is the positive version of the number.

## References

1. "Compendium of Mathematical Symbols". Math Vault. 2020-03-01. Retrieved 2020-08-27.
2. Weisstein, Eric W. "Additive Inverse". mathworld.wolfram.com. Retrieved 2020-08-27.
3. "Additive Inverse". www.learnalberta.ca. Retrieved 2020-08-27.