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

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

Correct Answer: B

Solution :

Sol. [b] We have, \[\frac{37}{{{2}^{2}}\times 5}=\frac{37\times 5}{{{2}^{2}}\times {{5}^{2}}}\]

\[=\frac{185}{{{(2\times 5)}^{2}}}=\frac{185}{{{(10)}^{2}}}=\frac{185}{100}=1.85\]

So, it will terminate after two decimal places.