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Any decimal that has only a finite number of nonzero digits

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Any decimal that has only a finite number of nonzero digits [#permalink]

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New post 08 Aug 2007, 10:36
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Any decimal that has only a finite number of nonzero digits is a terminating decimal. For. Ex. 24, 0.786, and 0.98 are three terminating decimals. If R and S are positive intergers and the ratio R/S is expressied as a decimal, is R/S a terminating decimal?
1. 90<R<100
2. S=4

seems simple. but struggled.
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New post 08 Aug 2007, 10:43
Ravshonbek wrote:
Any decimal that has only a finite number of nonzero digits is a terminating decimal. For. Ex. 24, 0.786, and 0.98 are three terminating decimals. If R and S are positive intergers and the ratio R/S is expressied as a decimal, is R/S a terminating decimal?
1. 90<R<100
2. S=4

seems simple. but struggled.


Straight C.
(1) don't know S
(2) don't know R
You need to know that anything divide by 5 or 2 or both or multiple of both will be terminating decimal. 4=2*2.

Last edited by bkk145 on 08 Aug 2007, 10:44, edited 1 time in total.
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New post 08 Aug 2007, 10:45
wow. that comes off very complex until you really think about it. C it is.
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New post 08 Aug 2007, 15:10
[quote="bkk145"][quote="Ravshonbek"]Any decimal that has only a finite number of nonzero digits is a terminating decimal. For. Ex. 24, 0.786, and 0.98 are three terminating decimals. If R and S are positive intergers and the ratio R/S is expressied as a decimal, is R/S a terminating decimal?
1. 90<R<100
2. S=4

seems simple. but struggled.[/quote]

Straight C.
(1) don't know S
(2) don't know R
You need to know that anything divide by 5 or 2 or both or multiple of both will be terminating decimal. 4=2*2.[/quote]

As you state if anything divided by 5 or 2 or both or multiple of both will be terminating decimal, then Statement 2 should be enough. We do not need to know the value of R. So, "B".

PS: Edited. Should've said 2 and not 3.

Last edited by kollisat on 09 Aug 2007, 14:05, edited 1 time in total.
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New post 08 Aug 2007, 16:29
kollisat wrote:
bkk145 wrote:
Ravshonbek wrote:
Any decimal that has only a finite number of nonzero digits is a terminating decimal. For. Ex. 24, 0.786, and 0.98 are three terminating decimals. If R and S are positive intergers and the ratio R/S is expressied as a decimal, is R/S a terminating decimal?
1. 90<R<100
2. S=4

seems simple. but struggled.


Straight C.
(1) don't know S
(2) don't know R
You need to know that anything divide by 5 or 2 or both or multiple of both will be terminating decimal. 4=2*2.


As you state if anything divided by 5 or 3 or both or multiple of both will be terminating decimal, then Statement 2 should be enough. We do not need to know the value of R. So, "B".


You are absolutely right. I did it too fast without thinking.
The answer must be B.
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Re: from Powerprep. DS [#permalink]

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New post 08 Aug 2007, 21:52
kollisat wrote:
bkk145 wrote:
Ravshonbek wrote:
Any decimal that has only a finite number of nonzero digits is a terminating decimal. For. Ex. 24, 0.786, and 0.98 are three terminating decimals. If R and S are positive intergers and the ratio R/S is expressied as a decimal, is R/S a terminating decimal?
1. 90<R<100
2. S=4

seems simple. but struggled.


Straight C.
(1) don't know S
(2) don't know R
You need to know that anything divide by 5 or 2 or both or multiple of both will be terminating decimal. 4=2*2.


As you state if anything divided by 5 or 3 or both or multiple of both will be terminating decimal, then Statement 2 should be enough. We do not need to know the value of R. So, "B".


Do you mean anything divided by 5 or 2? not 3 right? Thanks, I just wanted to make sure..
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New post 09 Aug 2007, 07:28
I dunno about you all but I get B...

anything/4 is a terminating decimal..

i picked 17, 13, 11, 15 and they all are terminating..i am pretty sure anything divided by 4 is a terminating decimal..hence..B it is.
  [#permalink] 09 Aug 2007, 07:28
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