Zero is the additive inverse of itself.
The additive inverse is defined as its inverse element under the binary operation of addition (see the discussion below), which allows a broad generalization to mathematical objects other than numbers.
This additive inverse always exists.
The additive inverse of is denoted by unary minus: (see the discussion below).
If "n" is not a natural number, the product may still make sense; for example, multiplication by 1 yields the additive inverse of a number.
In particular, a semiadditive category is additive if and only if every morphism has an additive inverse.
In the phrase "multiplicative inverse", the qualifier "multiplicative" is often omitted and then tacitly understood (in contrast to the additive inverse).
That is, the negation of a positive number is the additive inverse of the number.
