(B) To find the decimal expansion of $\frac{2}{3}$, we perform long division by dividing $2$ by $3$.When we divide $2$ by $3$, we get $0.666...$ which

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(B) To find the decimal expansion of $\frac{2}{3}$, we perform long division by dividing $2$ by $3$.When we divide $2$ by $3$, we get $0.666...$ which can be written as $0.\overline{6}$.Since the remainder never becomes $0$ and the digit $6$ repeats infinitely, the decimal expansion is non-terminating and recurring.

Class 9 Mathematics Number Systems Mix Examples - Number Systems

Easy

Fill in the blanks to make the following statement true: The decimal expansion of $\frac{2}{3}$ is of $\ldots \ldots$ type.

A
terminating
B
non-terminating recurring
C
non-terminating non-recurring
D
none of these

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Class 9

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Number Systems

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Mix Examples - Number Systems

Insert a rational number and an irrational number between the following: $\frac{1}{3}$ and $\frac{1}{2}$

Easy

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Rationalise the denominator of the following expression and evaluate it by taking $\sqrt{2}=1.414, \sqrt{3}=1.732$,and $\sqrt{5}=2.236$ up to three decimal places:
$\frac{\sqrt{2}}{2+\sqrt{2}}$

Medium

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State whether the following statement is true or false:
Each integer is a whole number.

Easy

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Simplify the following expression: $(\sqrt{11}-\sqrt{3})^{2}$

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Simplify: $(\frac{1}{27})^{\frac{-2}{3}}$

Medium

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Fill in the blanks to make the following statement true: The decimal expansion of $\frac{2}{3}$ is of $\ldots \ldots$ type.

Similar Questions

Insert a rational number and an irrational number between the following: $\frac{1}{3}$ and $\frac{1}{2}$

Rationalise the denominator of the following expression and evaluate it by taking $\sqrt{2}=1.414, \sqrt{3}=1.732$,and $\sqrt{5}=2.236$ up to three decimal places:$\frac{\sqrt{2}}{2+\sqrt{2}}$

State whether the following statement is true or false:Each integer is a whole number.

Simplify the following expression: $(\sqrt{11}-\sqrt{3})^{2}$

Simplify: $(\frac{1}{27})^{\frac{-2}{3}}$

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Rationalise the denominator of the following expression and evaluate it by taking $\sqrt{2}=1.414, \sqrt{3}=1.732$,and $\sqrt{5}=2.236$ up to three decimal places:
$\frac{\sqrt{2}}{2+\sqrt{2}}$

State whether the following statement is true or false:
Each integer is a whole number.