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help needed!!!!

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by its_me07 » Thu Feb 07, 2008 5:14 am
Any decimal that has only a finite number of nonzero digits is a terminating decimal.e.g 24,0.82,5.096 are three terminating decimals.If r and s are pos intergers and the ratio r/s is expressed as adecimal,is r/s a terminating decimal?

1) 90<r<100
2) s=4
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Source: — Data Sufficiency |
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by blue_lotus » Thu Feb 07, 2008 7:33 am
The Decimal part is caused by the denominator.
r/s = r * 1/s

We can determine whether the fraction is terminating if we know the denominator s

In your example answer is (B)

Option A tells range of R which is numerator, we cant tell based on this whether the fraction is terminating or not

Option B says S=4 , therefore 1/4 =0.25 which is terminating.
When we multiply terminating with any positve integer ,(r), the answer will be a terminating decimal.
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by its_me07 » Thu Feb 07, 2008 9:14 am
thanks :D
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by rosenjon » Sun Apr 06, 2008 7:17 pm
FYI for the community - when you completely factor a fraction into its primes, and cancel, any fraction with only powers of 2 and 5 in its denominator will terminate. Otherwise, it will be a repeating decimal.
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