In mathematics, the additive inverse of a number a (sometimes called the opposite of a) is the number that, when added to a, yields zero. The operation...

omitted and then tacitly understood (in contrast to the additive inverse). Multiplicative inverses can be defined over many mathematical domains as well...

added for specifying the operation, such as in additive inverse, multiplicative inverse, and functional inverse. In this case (associative operation), an invertible...

numbers, including the existence of an additive inverse −a for all elements a, and of a multiplicative inverse b−1 for every nonzero element b. This allows...

(negative one or minus one) is the additive inverse of 1, that is, the number that when added to 1 gives the additive identity element, 0. It is the negative...

conditional sentence Additive inverse (negation), the inverse of a number that, when added to the original number, yields zero Compositional inverse, a function...

inequality relation would be reversed. The rules for the additive inverse, and the multiplicative inverse for positive numbers, are both examples of applying...

the phrase "change of sign" is associated with the generation of the additive inverse (negation, or multiplication by −1) of any object that allows for this...

construction. The additive inverse of a number is unique, as is shown by the following proof. As mentioned above, an additive inverse of a number is defined...

negative integer (−1, −2, −3, etc.). The negative numbers are the additive inverses of the corresponding positive numbers. The set of all integers is...