Question

The two rational number which are their own multiplicative inverses are______​

Answer 1

0 and 1 are own multiplicative inverse

Answer 2

Given:

Two rational numbers.

To Find:

The two rational numbers which are the multiplicative inverse of each other.

Solution:

Rational numbers are those numbers that are in the form of $\frac{p}{q}$, where $q\neq 0$.

The multiplicative inverse is found by reversing the rational numbers. For example, $\frac{m}{n}=\frac{n}{m}$, where $\frac{n}{m}$ is the multiplicative inverse of $\frac{m}{n}$.

Consider a rational number $\frac{1}{1}$. The multiplicative inverse of this number is $\frac{1}{1}$.

Consider a rational number $\frac{-1}{1}$. The multiplicative inverse of this number is $\frac{-1}{1}$.

It can be seen that 1 and -1 has are their own multiplicative inverse.

Thus, 1 and -1 has are their own multiplicative inverse.