# How do you find the additive and multiplicative inverse of -0.125?

Jul 12, 2017

Additive inverse is $0.125$ and multiplicative inverse is $- 8$.

#### Explanation:

Additive inverse of a number $x$ is the number, which when added to it gives $0$ (the additive identity).

Hence additive inverse of $- 0.125$ is $0.125$.

Multipicative inverse of a number $x$ is the number, which when multiplied by it gives $1$ (the multiplicative identity).

Hence multiplicative inverse of $- 0.125$ is $\frac{1}{- 0.125} = - \frac{1000}{125} = - 8$.

Note : $0$ is additive identity as when added to any number, it results in the same number. $1$ is multiplicative identity as when multiplied with any number, it results in the same number.