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â¢ ADDITIVE INVERSE (noun) The noun ADDITIVE INVERSE has 1 sense: 1. (mathematics) one of a pair of numbers whose sum is zero; the additive inverse of -5 is +5. Familiarity information: ADDITIVE INVERSE used as a noun is very rare. Dictionary entry details. â¢ ADDITIVE INVERSE (noun)
For addition, the identity is zero, because adding zero to anything doesn't change anything. The inverse is the additive inverse: it's the same number, but with the opposite sign. For instance, suppose your number is â6, and you're adding. The identity is zero, and the inverse is 6, because â6 + 6 = 0. For multiplication, the identity is one, because multiplying by one doesn't change anything.