The decimal expansion of the rational number ` 43/((2^(4). 5^(3))` wil – InterviewSolution

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1.	The decimal expansion of the rational number ` 43/((2^(4). 5^(3))` will termiate after how many places of decimals.
Answer» We have `43/(2^(4).5^(3))= (43xx5)/(2^(4)xx5^(4))= 215/((2xx5)^(4))= 215/(10^(4))= 215/(10000)= 0.0215` So, it will terminate after 4 places of decimals.

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