Definition:Additive Inverse/Number

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Let $\Bbb F$ be one of the standard number systems: $\N$, $\Z$, $\Q$, $\R$, $\C$.

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