The decimal representation of 35457 / 6250 te | vedclass

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Question

(C) To find the number of decimal places,we express the denominator in the form $2^n 	imes 5^m$.Given fraction: $\frac{35457}{6250}$.Prime factorizat

Vedclass · Accepted Answer

$5$

Vedclass · Answer

(C) To find the number of decimal places,we express the denominator in the form $2^n 	imes 5^m$.Given fraction: $\frac{35457}{6250}$.Prime factorization of $6250 = 625 	imes 10 = 5^4 	imes (2 	imes 5) = 2^1 	imes 5^5$.The number of decimal places is determined by the maximum of the exponents of $2$ and $5$,which is $\max(1, 5) = 5$.Therefore,the decimal representation terminates after $5$ decimal places.

The decimal representation of $35457 / 6250$ terminates after how many decimal places?

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