Find the additive and multiplicative inverse of -1/3

We have to find the additive and multiplicative inverse of -1/3

Solution

Let us first know their definitions

Multiplicative inverse

The multiplicative inverse of a number say, N is represented by 1/N or N-1. It is also called reciprocal.

The multiplicative inverse of a number for any n is simply 1/n. It is denoted as:

1 / x or x-1 (Inverse of x)

Additive inverse

An additive inverse of a number is defined as the value, which on adding with the original number results in zero value. It is the value we add to a number to yield zero. Suppose, a is the original number, then its additive inverse will be minus of a i.e.,-a, such that;

a+(-a) = a – a = 0

Additive and multiplicative inverse of -1/3

Additive inverse of -1/3 = 1/3

Multiplicative inverse of -1/3 = -3/1 T

Then, The product of additive inverse and multiplicative inverse of 1/3 = 1/3 × (-3) = -1

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