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

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VP
Joined: 09 Jul 2007
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Any decimal that has only a finite number of nonzero digits [#permalink]

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08 Aug 2007, 11:36
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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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VP
Joined: 10 Jun 2007
Posts: 1431

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08 Aug 2007, 11:43
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, 11:44, edited 1 time in total.

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Director
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08 Aug 2007, 11:45
wow. that comes off very complex until you really think about it. C it is.

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Intern
Joined: 30 Jun 2007
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08 Aug 2007, 16:10
[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, 15:05, edited 1 time in total.

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VP
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08 Aug 2007, 17:29
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.

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Director
Joined: 11 Jun 2007
Posts: 909

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08 Aug 2007, 22:52
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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Current Student
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09 Aug 2007, 08:28
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.

Kudos [?]: 325 [0], given: 2

09 Aug 2007, 08:28
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