multiplicative inverse

Noun

Meaning

(mathematics) one of a pair of numbers whose product is 1: the reciprocal of 2/3 is 3/2; the multiplicative inverse of 7 is 1/7

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Examples

Also, the multiplicative inverse is the reciprocal of any number (except 0; 0 is the only number without a multiplicative inverse), that is, multiplying the reciprocal of any number by the number itself yields the multiplicative identity. Source: Internet

By contrast, zero has no multiplicative inverse, but it has a unique quasi-inverse, "0(ZERO)" itself. Source: Internet

In the same way, one defines the binary operation of division ÷ in terms of the assumed binary operation of multiplication and the implicitly defined operation of "reciprocal" (multiplicative inverse). Source: Internet

However, as in the case of division algebras, when an element x has a non-zero norm, then x has a multiplicative inverse given by x*/N(x). Source: Internet

However, not every integer has a multiplicative inverse; e.g. there is no integer x such that because the left hand side is even, while the right hand side is odd. Source: Internet

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