# How do you find the additive and multiplicative inverse of -11?

Apr 21, 2017

See explanation.

#### Explanation:

The additive inverse of a number is a number that when added to the original number will equal $0$.

The additive inverse of $- 11$ is $11$.

$- 11 + 11 = 0$

The multiplicative inverse is a number that when multiplied by the original number will equal $1$.

The multiplicative inverse of $- 11$ is $- \frac{1}{11}$.

$- 11 \times - \frac{1}{11} = 1$