Write down the decimal expansions of - 17-8

17 8=17 2^3=17 × 5^3 2^3 × 5^3 =17 × 5^3 10^3=2125 10^3=2.125 ...

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Byju's Answer

Standard X

Mathematics

Check If a Given Rational No. Is Terminating or Not

Write down th...

Question

Write down the decimal expansions of : $\frac{17}{8}$

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Solution

$\frac{17}{8} = \frac{17}{2^{3}} = \frac{17 \times 5^{3}}{2^{3} \times 5^{3}}$
= $\frac{17 \times 5^{3}}{10^{3}} = \frac{2125}{10^{3}} = 2.125$

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Similar questions

Q. Write decimal expansion of

\frac{17}{8}

Q. Write down the decimal expansion of the given fraction:

\frac{2}{17}

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) $\frac{35}{50}$

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}

Write down the decimal expansions of the following rational numbers:

\frac{7}{8}

(Answer to the closest integer).

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Write down the decimal expansions of : 178

178=1723=17×5323×53 =17×53103=2125103=2.125

Write down the decimal expansions of : $\frac{17}{8}$

$\frac{17}{8} = \frac{17}{2^{3}} = \frac{17 \times 5^{3}}{2^{3} \times 5^{3}}$
= $\frac{17 \times 5^{3}}{10^{3}} = \frac{2125}{10^{3}} = 2.125$