(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

Fill in the blanks to make the following statement true: $\sqrt{49} = \ldots \ldots$

Easy

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Express the following in the form $\frac{p}{q},$ where $p$ and $q$ are integers and $q \neq 0$ :
$0.1\overline{34}$

Difficult

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Represent the following numbers on the number line:
$7, 7.2, \frac{-3}{2}, \frac{-12}{5}$

Medium

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

Medium

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If $\sqrt{5} = 2.236$,then evaluate $\frac{4 - \sqrt{5}}{\sqrt{5}}$ correct to four decimal places.

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

Fill in the blanks to make the following statement true: $\sqrt{49} = \ldots \ldots$

Express the following in the form $\frac{p}{q},$ where $p$ and $q$ are integers and $q \neq 0$ :$0.1\overline{34}$

Represent the following numbers on the number line:$7, 7.2, \frac{-3}{2}, \frac{-12}{5}$

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

If $\sqrt{5} = 2.236$,then evaluate $\frac{4 - \sqrt{5}}{\sqrt{5}}$ correct to four decimal places.

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Express the following in the form $\frac{p}{q},$ where $p$ and $q$ are integers and $q \neq 0$ :
$0.1\overline{34}$

Represent the following numbers on the number line:
$7, 7.2, \frac{-3}{2}, \frac{-12}{5}$