Question

The decimal expansion of the rational number $\frac{43}{2^4\times 5^3}$ will terminate after how many places of decimal.

Answer 1

$\frac{43}{(2^3\times 5^3)\times 2}=\frac{43}{{10}^3\times 2}=\frac{0.043}{2}=0.0125$

$4$ places

$\therefore$ decimal expansion will terminate at $4$ places of decimal