Additive inverse
The additive inverse of a number is the number which sums to 
with the other number.
If we have:
![\[a + b = 0,\]](http://latex.artofproblemsolving.com/4/3/d/43dfb86cb3e9d27bcb76ef0586c39b068ea218b6.png)
we can say that 
Thus, 
is the additive inverse of 
Examples include 
and 
or 
and 
Overview
In mathematics, the additive inverse of a number 
is the number that, when added to , yields zero. This operation is also known as the opposite (number), sign change, and negation. For a real number, it reverses its sign: the opposite of a positive number is negative, and the opposite of a negative number is positive. Zero is the additive inverse of itself.
The additive inverse of is denoted by unary minus: 
. For example, the additive inverse of 
is 
, because 
, and the additive inverse of 
is 
, because 
.
The additive inverse is defined as its inverse element under the binary operation of addition, which allows a broad generalization to mathematical objects other than numbers. As for any inverse operation, the double additive inverse has no effect: 
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