Question

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

• A. 2
• B. 3
• C. 4
• D. 5

Answer 1

The correct option is C 4

We have given the fraction

$\frac{23457}{2^3\times 5^4}$

$=\frac{23457}{5000}$

On solving it we get

$\frac{23457}{5000}=4.6914$

So the decimal expansion terminated after 4 decimal places.

Hence, option $C$ is correct