Does the decimal equivalent of P/Q, where P and Q are positive integers, contain only a finite number of nonzero digits?
(1) P>Q
(2) Q=8
OA E, IMO B.
Plz. explain
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Decimal equivalent
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schakiiieee
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raju232007
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Well,consider this
To find whether a fraction is terminating or not
1.Prime factorize the denominator
2.If there is a prime factor besides 2 or 5 in the denominator,the fraction represents a recurring decimal..
As per statement 2
q=8..and it contains only prime factor 2
Hence this information is sufficient to prove that the given fraction contains only a finite number of non zero digits
To find whether a fraction is terminating or not
1.Prime factorize the denominator
2.If there is a prime factor besides 2 or 5 in the denominator,the fraction represents a recurring decimal..
As per statement 2
q=8..and it contains only prime factor 2
Hence this information is sufficient to prove that the given fraction contains only a finite number of non zero digits
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vivek.kapoor83
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