Question

The product of a rational number and its multiplicative inverse is always________

Answer 1

The multiplicative inverse of a rational number is that rational number which when multiplied by the given rational number gives the result as $1$.

For example: Let a rational number $\frac{-3}{2}$ then its multiplicative inverse is $\frac{3}{-2}$.

By multiplying the above two numbers we get, $\frac{-3}{2}\times \frac{2}{-3}=\frac{-3\times 2}{2\times (-3)}=\frac{-6}{-6}=1$.

Hence, the product of a rational number and its multiplicative inverse is always $1$.