terminating decimal

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terminating decimal

by pradeepkaushal9518 » Tue Jun 22, 2010 5:50 am
any decimal that has only a finite numbers of non zero digits is a terminating decimal.for example 24,0.82 and 5.096 are three terminating decimals. if r and s are positive integers and the ratio r/s is expressed as a decimal, is r/s a terminating decimal?
1.90<r<100
2.s=4

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by Rich@VeritasPrep » Tue Jun 22, 2010 6:06 am
any decimal that has only a finite numbers of non zero digits is a terminating decimal.for example 24,0.82 and 5.096 are three terminating decimals. if r and s are positive integers and the ratio r/s is expressed as a decimal, is r/s a terminating decimal?
1.90<r<100
2.s=4

St (1):

r/s could be 91/2, in which case it would be a terminating decimal (i.e. 45.5)

r/s could be 91/3, in which case it would NOT be a terminating decimal (i.e. 30.333333...)

INSUFFICIENT

St (2):

It doesn't matter what r is, because when you divide an integer by 4, the result is either a whole number or a number whose decimal part is 0.25, 0.50, or 0.75. In all of these cases, you have a terminating decimal.

SUFFICIENT
Rich Zwelling
GMAT Instructor, Veritas Prep