# Opposite number

In mathematics, the opposite or additive inverse of a number ${\displaystyle k}$ is a number ${\displaystyle n}$ which, when added to ${\displaystyle k}$, results in 0. The opposite of ${\displaystyle a}$ is ${\displaystyle -a}$.[1][2] For example, −7 is the opposite of 7, because ${\displaystyle 7+-7=0}$.

The opposite of a positive number is the negative version of the number. The opposite of a negative number is the positive version of the number. The opposite of 0 is 0.

Two opposite numbers have the same absolute value.

## References

1. Weisstein, Eric W. "Additive Inverse". mathworld.wolfram.com. Retrieved 2020-08-27.
2. "Additive Inverse". www.learnalberta.ca. Retrieved 2020-08-27.