Question

The decimal expansion of the rational number $\frac{33}{2^2\cdot 5}$ will terminate after:

• A. one decimal place
• B. two decimal places
• C. three decimal places
• D. more than $3$ decimal places

Answer 1

The correct option is B two decimal places

$\frac{33}{2^2\cdot 5}=\frac{33\times 5}{4\times 5\times 5}$
$=\frac{165}{100}$
$=1.65$.
Thus the decimal expansion will terminate after two decimal places.

Therefore, option $B$ is correct.