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

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(A) Yes,zero is a rational number. $A$ rational number is defined as any number that can be expressed in the form $\frac{p}{q}$,where $p$ and $q$ are integers and $q \ne 0$. Since zero can be written as $\frac{0}{1}$,$\frac{0}{2}$,$\frac{0}{3}$,etc.,where the numerator $p = 0$ (an integer) and the denominator $q$ is any non-zero integer,it satisfies the definition of a rational number.

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Similar Questions

Find three different irrational numbers between the rational numbers $\frac{5}{7}$ and $\frac{9}{11}$.

Simplify each of the following expressions:
$(i)$ $(3+\sqrt{3})(2+\sqrt{2})$
$(ii)$ $(3+\sqrt{3})(3-\sqrt{3})$
$(iii)$ $(\sqrt{5}+\sqrt{2})^{2}$
$(iv)$ $(\sqrt{5}-\sqrt{2})(\sqrt{5}+\sqrt{2})$

Rationalise the denominators of the following:
$(i)$ $\frac{1}{\sqrt{7}}$
$(ii)$ $\frac{1}{\sqrt{7}-\sqrt{6}}$
$(iii)$ $\frac{1}{\sqrt{5}+\sqrt{2}}$
$(iv)$ $\frac{1}{\sqrt{7}-2}$

Write three numbers whose decimal expansions are non-terminating non-recurring.

Express the following in the form $\frac{p}{q}$,where $p$ and $q$ are integers and $q \ne 0$.
$(i)$ $0.\overline{6}$
$(ii)$ $0.4\overline{7}$
$(iii)$ $0.\overline{001}$

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