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# Question and Answer

## QuestionMathsClass 9

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

See the analysis below.
4.6
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4.6
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## Solution

As we know a rational number is a number that is represented in the form of $$\dfrac{a}{b}$$,where $$b\neq0$$ and$$a$$ and$$b$$  are integers.
Now consider the given number zero.
As we know$$0$$ is an integer. So when we divide $$0$$ by any integer except itself the value is$$0$$.
So $$0$$ is written as $$\dfrac{0}{p}=\dfrac{p}{q}$$ where $$p$$ and$$q$$ both are integers and $$(p=0,q\neq0)$$
$$\therefore 0$$ is a rational number.