(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 Real Numbers and their Decimal Expansions

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 Questions

Class 9

Mathematics Questions

Chapter

Number Systems

Subtopic

Real Numbers and their Decimal Expansions

Express $1.23\overline{4}$ in the form $\frac{p}{q}$,where $p$ and $q$ are integers and $q \neq 0$.

Medium

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Visualise $3.765$ on the number line,using successive magnification.

Medium

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Find three rational numbers between $0.1$ and $0.11$.

Easy

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Represent $5.4949$ on the number line,using successive magnification,up to $4$ decimal places.

Medium

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Show that $0.2353535 \ldots = 0.2 \overline{35}$ can be expressed in the form $\frac{p}{q}$,where $p$ and $q$ are integers and $q \neq 0$.

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

Express $1.23\overline{4}$ in the form $\frac{p}{q}$,where $p$ and $q$ are integers and $q \neq 0$.

Visualise $3.765$ on the number line,using successive magnification.

Find three rational numbers between $0.1$ and $0.11$.

Represent $5.4949$ on the number line,using successive magnification,up to $4$ decimal places.

Show that $0.2353535 \ldots = 0.2 \overline{35}$ can be expressed in the form $\frac{p}{q}$,where $p$ and $q$ are integers and $q \neq 0$.

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