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The decimal expansion of the rational nu...

The decimal expansion of the rational number `(14587)/(1250)` will terminate after how many decimal places?

A

one decimal place

B

two decimal places

C

three decimal places

D

four decimal places

Text Solution

Verified by Experts

The correct Answer is:
D
Rational number `=(14587)/(1250)=(14587)/(2^(1)xx5^(4))`
`(14587)/(10xx5^(3)) xx ((2))^(3)/((2))^(3)`
`(14587 xx 8)/(10 xx1000)`
`(116696)/(10000)=11.6696`
Hence, given rational number will terminate after four decimal places.
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