The decimal expansion of the rational number $\frac{14587}{1250}$ will terminate after ______.

Question

KollegeApply · Accepted Answer

The decimal expansion of the rational number $\frac{14587}{1250}$ will terminate after four decimal places. Explanation: `$\frac{14587}{1250}$ = 14587/(2^1 xx 5^4) = 14587/(10 xx 5^3) xx (2)^3/(2)^3 = (14587 xx 8)/(10 xx 1000) = $\frac{116696}{10000}$` = 11.6696 Hence, given rational number will terminate after four decimal places.

AChoose Your Answer