# Definition:Additive Inverse/Number

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## Contents

## 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.

## Also see