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Question

The decimal expansion of $$\dfrac{23457}{2^{3}\times 5^{4}}$$ will terminate after how many places of decimals?


A
2
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B
3
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C
4
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D
5
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Solution

The correct option is C 4
We have given the fraction 
$$\dfrac{23457}{2^{3}  \times 5^{4} }$$

$$= \dfrac{23457}{5000}$$

On solving it we get 
$$\dfrac{23457}{5000} = 4.6914$$

So the decimal expansion terminated after 4 decimal places.

Hence, option $$C$$ is correct

Mathematics

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