# Is zero a rational number? Can you write it in the form

Question:

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

Solution:

Yes, zero is a rational number because it is either terminating or non-terminating so we can write in the form of $\frac{p}{q}$, where $p$ and $q$ are natural numbers and $q$ is not equal to zero.

So,

$p=0, q=1,2,3 \ldots .$

Therefore,

$\frac{p}{q}=\frac{0}{1}$ or $\frac{0}{2}$ or $\frac{0}{3} \ldots . .$