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The additive inverse of a number is the opposite of that number, that is, the additive inverse of a number x is -x. The sum of a number and its additive inverse is always zero, that is, x + (-x) = 0. Related Terms: addition, number, opposites, sum, zero. English | Espaol.
Algebra > Group Theory > Group Properties >. MathWorld Contributors > Barile >. In an additive group , the additive inverse of an element is the element such that , where 0 is the additive identity of . and, in general, of any element in an abstract vector space or a module. Barile, Margherita. From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein.