Question

Is zero a rational number? Can you write it in the form $\frac{p}{q}$ where $p$ and $q$ are integers and $q\ne 0$ ?

Answer 1

Explain whether zero is rational or not

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 $\frac{0}{1},\frac{0}{2},\frac{0}{3},\frac{0}{4}$,$\frac{0}{-1},\frac{0}{-2},\frac{0}{-3},\frac{0}{-4}$

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

Hence, $0$ is a rational number.