Question

the decimal expansion of the rational number 14587/1250 will terminate after how many decimal places.

Answer 1

It will terminate after 4 decimal places as this can be written as 14587/(5^4×2) and now we multiply both numerator and denominator by 2^3 so this would become 14587×2^3/(5^4×2^4) and the power of both 5 and should be same to determine the decimal expansion of the no. so the answer in this case is 4
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Answer 2

Step-by-step explanation:

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