Write down the decimal expansions of - 23-23 -52

23 2^3.5^2=23 × 5 2^3.5^2 × 5 =23 × 5 2^3.5^3=23 × 5 10^3=115 1000 =0.115 ...

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Standard X

Mathematics

Check If a Given Rational No. Is Terminating or Not

Write down th...

Question

Write down the decimal expansions of : $\frac{23}{2^{3} {.5}^{2}}$

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Solution

$\frac{23}{2^{3} {.5}^{2}} = \frac{23 \times 5}{2^{3} {.5}^{2} \times 5}$
= $\frac{23 \times 5}{2^{3} {.5}^{3}} = \frac{23 \times 5}{10^{3}} = \frac{115}{1000}$ =0.115

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Similar questions

Write down the decimal expansions of : $\frac{6}{15}$

Without actually performing the long division, state whether the following rational numbers will have a terminating decimal expansion or a non-terminating decimal expansion : $\frac{23}{2^{3} {.5}^{2}}$

Q. The decimal expansion of the rational number

\frac{11}{2^{3} {.5}^{2}}

will terminate after:

Q. Write down the decimal expansions of the rational numbers which have terminating decimal expansions.
(i)

\frac{13}{3125}

(ii)

\frac{17}{8}

(iii)

\frac{15}{1600}

(iv)

\frac{23}{2^{3} 5^{2}}

(v)

\frac{6}{15}

(vi)

\frac{35}{50}

Question 2
Write down the decimal expansions of
(i) $\frac{13}{3125}$
(ii) $\frac{17}{8}$
(iii) $\frac{15}{1600}$
(iv) $\frac{23}{2^{3} 5^{2}}$
(v) $\frac{6}{15}$
(vi) $\frac{35}{50}$

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Write down the decimal expansions of : 2323.52

2323.52=23×523.52×5 =23×523.53=23×5103=1151000 =0.115

Write down the decimal expansions of : $\frac{23}{2^{3} {.5}^{2}}$

$\frac{23}{2^{3} {.5}^{2}} = \frac{23 \times 5}{2^{3} {.5}^{2} \times 5}$
= $\frac{23 \times 5}{2^{3} {.5}^{3}} = \frac{23 \times 5}{10^{3}} = \frac{115}{1000}$ =0.115