(A) number is called rational if it can be expressed in the form $\frac{p}{q}$,where $p$ and $q$ are integers and $q \neq 0$.Since $\frac{22}{7}$ is e

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(A) number is called rational if it can be expressed in the form $\frac{p}{q}$,where $p$ and $q$ are integers and $q \neq 0$.Since $\frac{22}{7}$ is expressed as a ratio of two integers $22$ and $7$,where $7 \neq 0$,it satisfies the definition of a rational number.Therefore,$\frac{22}{7}$ is a rational number.

Class 9 Mathematics Number Systems Mix Examples - Number Systems

Easy

Which type of number is the number $\frac{22}{7}$? Is it rational or irrational?

A
Rational
B
Irrational
C
Neither rational nor irrational
D
Both rational and irrational

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Class 9 Questions

Class 9

Mathematics Questions

Chapter

Number Systems

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Mix Examples - Number Systems

Rationalise the denominator of the following number:
$\frac{1}{5+2 \sqrt{3}}$

Medium

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Find the values of $a$ and $b$ in each of the following:
$\frac{7+\sqrt{5}}{7-\sqrt{5}}-\frac{7-\sqrt{5}}{7+\sqrt{5}}=a+\frac{7}{11} \sqrt{5} b$

Difficult

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Fill in the blanks to make the following statement true: The decimal expansion of $\frac{47}{50}$ is of $\ldots \ldots \ldots$ type.

Easy

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Prove that,$\frac{1}{1+\sqrt{2}}+\frac{1}{\sqrt{2}+\sqrt{3}}+\frac{1}{\sqrt{3}+\sqrt{4}}=1$.

Medium

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Add $4 \sqrt{3}+2 \sqrt{5}$ and $6 \sqrt{3}-4 \sqrt{5}$.

Medium

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Which type of number is the number $\frac{22}{7}$? Is it rational or irrational?

Similar Questions

Rationalise the denominator of the following number:$\frac{1}{5+2 \sqrt{3}}$

Find the values of $a$ and $b$ in each of the following:$\frac{7+\sqrt{5}}{7-\sqrt{5}}-\frac{7-\sqrt{5}}{7+\sqrt{5}}=a+\frac{7}{11} \sqrt{5} b$

Fill in the blanks to make the following statement true: The decimal expansion of $\frac{47}{50}$ is of $\ldots \ldots \ldots$ type.

Prove that,$\frac{1}{1+\sqrt{2}}+\frac{1}{\sqrt{2}+\sqrt{3}}+\frac{1}{\sqrt{3}+\sqrt{4}}=1$.

Add $4 \sqrt{3}+2 \sqrt{5}$ and $6 \sqrt{3}-4 \sqrt{5}$.

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Rationalise the denominator of the following number:
$\frac{1}{5+2 \sqrt{3}}$

Find the values of $a$ and $b$ in each of the following:
$\frac{7+\sqrt{5}}{7-\sqrt{5}}-\frac{7-\sqrt{5}}{7+\sqrt{5}}=a+\frac{7}{11} \sqrt{5} b$