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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.
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.