Question

Is zero a rational number? Justify your answer.

Answer 1

Justify the given statement :

Given, is zero a rational number

A number is said to be a rational number if it can be written in the form of $\frac{p}{q}$, where $p$ and $q$ are integers and $q\ne 0$

• We can write $0$ in the form of $\frac{0}{1},\frac{0}{2},\frac{0}{3},\frac{0}{4}$.
• As well as, $q$ can be a negative integer also, $\frac{0}{-1},\frac{0}{-2},\frac{0}{-3},\frac{0}{-4}$

So we observe $0$ can be written in $\frac{p}{q}$, and it satisfies the condition.

Hence, $0$ is a rational number.