Multiplicative inverse

The multiplicative inverse of a number, say, $N$, is represented by ${\frac {1}{N}}$ or $N^{-1}$. It is also called reciprocal. The meaning of inverse is something which is opposite. The reciprocal of a number obtained is such that when it is multiplied by the original number, the value equals identity $1$.

Example:

Number	Multiplicative Inverse
$3$	${\frac {1}{3}}$
$15$	${\frac {1}{15}}$

Now to check whether the inverse of a number is correct or not, we can perform the multiplication operation, such that

$3\times {\frac {1}{3}}=1$........... $15\times {\frac {1}{15}}=1$

In the above cases we get the identity number $1$. Hence it is proved.