10th Class Mathematics Real Numbers Question Bank MCQs - Real Numbers

The decimal expansion of the rational number \[\frac{33}{{{2}^{2}}\cdot 5}\]will terminate after: (NCERT EXEMPLAR)

A) one decimal place

B) two decimal places

C) three decimal places

D) more than 3 decimal places

Correct Answer: B

Solution :

Sol. [b] \[\frac{33}{{{2}^{2}}\times 5}\times \frac{5}{5}=\frac{33\times 5}{{{2}^{2}}\times {{5}^{2}}}=\frac{165}{{{(2\times 5)}^{2}}}\]

\[=\frac{165}{{{(10)}^{2}}}=\frac{165}{100}=1.65\]

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