Multiplicative Inverse Definition

The multiplicative inverse, or reciprocal, of a number is a value that, when multiplied with the original number, results in a product of one. It is also called the reciprocal of a number.

The multiplicative inverse, denoted as ‘1/a’ or ‘a^-1‘ is the reciprocal of a non-zero number ‘a,’ such that their product equals 1.

For instance, the multiplicative inverse of 3 is 1/3, as 3 × (1/3) equals 1.

Multiplicative Inverse of 0

The multiplicative inverse, or reciprocal, of 0 is undefined. In other words, there is no real number ‘a’ such that 0 multiplied by ‘a’ equals 1.

Symbolically, 0×a=1 has no real solution for ‘a’.

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• Multiplicative Inverse
• Multiplicative Inverse of Zero

Additive inverse of a number is what you add to the original number to get a sum of zero. On the other hand, multiplicative inverse of a number is what you multiply the original number by to get a product of one.

Let’s learn about the Additive Inverse and Multiplicative Inverse with the help of solved examples.