Question

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

A
2
B
3
C
4
D
5

Solution

## The correct option is C 4We 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 correctMathematics

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