Question

The decimal expansion of the rational number $\frac{37}{2^2\times 5}$ will terminate after

(a) one decimal place
(b) two decimal places
(c) three decimal places
(d) four decimal places

Answer 1

(b) two decimal places

$\frac{37}{2^2\times 5}=\frac{37\times 5}{2^2\times 5^2}=\frac{185}{100}=1.85$

So, the decimal expansion of the rational number will terminate after two decimal places.