The decimal representation of frac{7}{2^3 cdo | vedclass

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Question

(B) To find the number of digits after the decimal point for a rational number of the form $\frac{p}{2^n \cdot 5^m}$,we look for the maximum value bet

Vedclass · Accepted Answer

$4$

Vedclass · Answer

(B) To find the number of digits after the decimal point for a rational number of the form $\frac{p}{2^n \cdot 5^m}$,we look for the maximum value between the exponents $n$ and $m$.Given the expression $\frac{7}{2^3 \cdot 5^4}$,we have $n = 3$ and $m = 4$.The number of decimal places is determined by $\max(n, m) = \max(3, 4) = 4$.Thus,the decimal representation will have $4$ digits after the decimal point.

The decimal representation of $\frac{7}{2^3 \cdot 5^4}$ will have how many digits after the decimal point?

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