(B) To determine the decimal expansion of $\frac{1}{7}$,we perform long division of $1$ by $7$.Dividing $1$ by $7$ gives $0.142857142857...$Since the

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(B) To determine the decimal expansion of $\frac{1}{7}$,we perform long division of $1$ by $7$.Dividing $1$ by $7$ gives $0.142857142857...$Since the remainder never becomes $0$ and the sequence of digits $142857$ repeats indefinitely,the decimal expansion is non-terminating and recurring.

Class 9 Mathematics Number Systems Mix Examples - Number Systems

Easy

State the type of the decimal expansion of $\frac{1}{7}$.

A
Terminating
B
Non-terminating recurring
C
Non-terminating non-recurring
D
None of these

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Mix Examples - Number Systems

Insert a rational number and an irrational number between the following:
$6.375289$ and $6.375738$

Medium

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Simplify: $5 \sqrt{2} + 2 \sqrt{8} - 3 \sqrt{32} + 4 \sqrt{128}$ (in $\sqrt{2}$)

Easy

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

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Find the value of $64^{-\frac{1}{3}}\left(64^{\frac{1}{3}}-64^{\frac{2}{3}}\right)$.

Easy

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For each question,select the proper option from four options given,to make the statement true: $0.3\overline{6}=$

Easy

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State the type of the decimal expansion of $\frac{1}{7}$.

Similar Questions

Insert a rational number and an irrational number between the following:$6.375289$ and $6.375738$

Simplify: $5 \sqrt{2} + 2 \sqrt{8} - 3 \sqrt{32} + 4 \sqrt{128}$ (in $\sqrt{2}$)

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

Find the value of $64^{-\frac{1}{3}}\left(64^{\frac{1}{3}}-64^{\frac{2}{3}}\right)$.

For each question,select the proper option from four options given,to make the statement true: $0.3\overline{6}=$

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Insert a rational number and an irrational number between the following:
$6.375289$ and $6.375738$