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

The number of decimal places after which the decimal expansion of the rational number \[\frac{23}{{{2}^{2}}\times 5}\] will terminate, is:

A) 1

B) 2

C) 3

D) 4

Correct Answer: B

Solution :

Sol. [b] We have,

\[\frac{23}{{{2}^{2}}\times 5}=\frac{23\times 5}{{{2}^{2}}\times {{5}^{2}}}=\frac{115}{{{(2\times 5)}^{2}}}=\frac{115}{{{(10)}^{2}}}=1.15\]

So, it will terminate after 2 decimal places.