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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.
Multiplicative Inverse. In a monoid or multiplicative group where the operation is a product, the multiplicative inverse of any element is the element such that, with 1 the identity element. The multiplicative inverse of a nonzero number is its reciprocal (zero is not invertible).For complex,here. The multiplicative inverse of a nonsingular matrix is its matrix inverse. To detect the multiplicative inverse of a given element in the multiplication table of finite multiplicative group, traverse the element's row until the identity element 1 is encountered, and then go up to the top row.