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# is any integer divided by (2*5),2,5 is terminating or is it

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Senior Manager
Joined: 31 Jul 2008
Posts: 270
is any integer divided by (2*5),2,5 is terminating or is it [#permalink]

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24 Nov 2008, 12:49
is any integer divided by (2*5),2,5 is terminating or is it only true for (2*5)

Thanks

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Manager
Joined: 23 Nov 2008
Posts: 77

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24 Nov 2008, 16:17
True for all three.

Division by 2:
n is either odd or even, if even, then remainder is 0, if odd, then remainder is 1, which will terminate the decimal at 5 (7/2=3.5)
Division by 5:
If not a multiple of 5, will leave a remainder which will terminate the decimal, since all 10s are multiples of 5 (49/5=9.8)

If the denominator of a fraction can be factored into 5's and 2's, you will be able to terminate the decimal.
VP
Joined: 17 Jun 2008
Posts: 1479

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28 Nov 2008, 05:08
One word of caution though. If numerator and denominator have the same factor other than 2 and 5, then also this should be true.

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Re: terminating decimals :   [#permalink] 28 Nov 2008, 05:08
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# is any integer divided by (2*5),2,5 is terminating or is it

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