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

After how many digits will the decimal expansion of \[\frac{3}{8}\]come to an end?

A) 4

B) 3

C) 5

D) 2

Correct Answer: B

Solution :

Sol. [b] We have, \[\frac{3}{8}=\frac{3}{{{2}^{3}}}=\frac{3\times {{5}^{3}}}{{{2}^{3}}\times {{5}^{3}}}\]

\[=\frac{375}{{{(10)}^{3}}}=\frac{375}{1000}=0.375\] So, it will terminate after 3 decimal places.