# How do you find the additive and multiplicative inverse of 3?

Sep 14, 2017

See below.

#### Explanation:

The additive inverse is such that for a real number $a$:

$a + \left(- a\right) = 0$

The multiplicative inverse is such that for a real number $a$

$a \cdot \frac{1}{a} = 1$

So for $3$:

Additive inverse is $- 3$
Multiplicative inverse is $\frac{1}{3}$