Question

Check whether the following is not a rational number:(v)$\frac{0}{0}$.

Answer 1

We know that,

If $p$ and $q$ is an integer and $q\ne 0$, then the number of the form $\frac{p}{q}$ is called a rational number .

Given, number is $\frac{0}{0}$

Where, the numerator is $0$ and denominator is $0$.

$\because$ Denominator i.e $q$ cannot be $0$ in rational numbers

Hence, $\frac{0}{0}$ is not a rational number .