Question

Zero has _____ reciprocal.

Answer 1

Explain the reciprocal of a number.

The reciprocal of a number: the reciprocal of any number $a$ is a fraction ${\displaystyle \frac{1}{a}}$.

We know that a rational number is a number that can be expressed as a fraction of two integers, that is in the form ${\displaystyle \frac{p}{q}}$, where $p,q\in \mathbb{R}$ and $q\ne 0$.

We also know that the fraction which has zero in the denominator is not defined or $\frac{1}{0}$ is not defined.

So, the number $0$does not have any reciprocal.
Hence, zero has no reciprocal.