# How do you find the additive and multiplicative inverse of -0.5?

Apr 14, 2017

Additive inverse is $+ 0.5$

Multiplicative inverse is $- 2$

#### Explanation:

ADDITIVE inverses add to make $0$.
They have the same number, but opposite signs:

For example: $\left(- 3\right) + \left(+ 3\right) = 0$

In this case $\left(- 0.5\right) + \left(+ 0.5\right) = 0$

The MULTIPLICATIVE inverse is the same as the RECIPROCAL.

The product of a number and its multiplicative inverse is $1$

$\frac{2}{3} \times \frac{3}{2} = 1$

In this case $- 0.5 = - \frac{1}{2}$

$- \frac{1}{2} \times - \frac{2}{1} = 1$