The decimal representation of 44/625 is . . | vedclass

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(A) To determine if a rational number $p/q$ has a terminating decimal expansion,we check the prime factorization of the denominator $q$. If $q$ is of

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Terminating

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(A) To determine if a rational number $p/q$ has a terminating decimal expansion,we check the prime factorization of the denominator $q$. If $q$ is of the form $2^n 	imes 5^m$,where $n$ and $m$ are non-negative integers,then the decimal expansion is terminating.Here,the fraction is $44/625$.The denominator is $625 = 5^4$.Since the denominator is in the form $2^0 	imes 5^4$,it satisfies the condition for a terminating decimal expansion.Therefore,$44/625$ is a terminating decimal.

The decimal representation of $44/625$ is . . . . . . (Terminating,Non-terminating repeating,Non-terminating non-repeating).

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