Question:
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
Solution:
(b) two decimal places
$\frac{37}{2^{2} \times 5}=\frac{37 \times 5}{2^{2} \times 5^{2}}=\frac{185}{100}=1.85$
So, the decimal expansion of the rational number will terminate after two decimal places.
Click here to get exam-ready with eSaral
For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.