Question:
The decimal expansion of the number $\frac{14753}{1250}$ will terminate after
(a) one decimal place
(b) two decimal place
(c) three decimal place
(d) four decimal place
Solution:
(d) four decimal places
$\frac{14753}{1250}=\frac{14753}{5^{4} \times 2}=\frac{14753 \times 2^{3}}{5^{4} \times 2^{4}}=\frac{118024}{10000}=11.8024$
So, the decimal expansion of the number will terminate after four decimal places.
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