For the decimal expansion of a rational numbe | vedclass

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Question

(B) rational number $\frac{p}{q}$ has a terminating decimal expansion if and only if the prime factorization of the denominator $q$ is of the form $2^

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$N \cup \{0\}$

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(B) rational number $\frac{p}{q}$ has a terminating decimal expansion if and only if the prime factorization of the denominator $q$ is of the form $2^m \cdot 5^n$,where $m$ and $n$ are non-negative integers.Non-negative integers include all natural numbers $(N)$ and zero $(0)$.Therefore,$m, n \in N \cup \{0\}$.

For the decimal expansion of a rational number $\frac{p}{q}$ to be terminating,if $q = 2^m \cdot 5^n$,then $m, n \in$ . . . . . . ($R$,$N \cup \{0\}$,$Z$)

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