help needed!!!!

[its_me07]

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

[blue_lotus]

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.

[its_me07]

thanks

[rosenjon]

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.