## Definition

Let $\Bbb F$ be one of the standard sets of numbers

Let $a \in \Bbb F$ be any arbitrary number.

The additive inverse of $a$ is its inverse under addition, denoted $-a$:

$a + \paren {-a} = 0$

## Also known as

The additive inverse of a number is often referred to as its negative.

However, beware of confusing the negative of a number with a negative number.

Note that the negative of a negative number is a positive number.