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Topic: Terminating Deciamal Expansion
Replies: 3   Last Post: Jan 19, 2013 2:06 PM

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Charles Hottel

Posts: 10
Registered: 9/5/11
Re: Terminating Deciamal Expansion
Posted: Jan 19, 2013 1:15 PM
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"Virgil" <virgil@ligriv.com> wrote in message
news:virgil-B385CE.21472618012013@BIGNEWS.USENETMONSTER.COM...
> In article <1oCdneKuT4nqi2fNnZ2dnUVZ_rCdnZ2d@earthlink.com>,
> "Charles Hottel" <chottel@earthlink.net> wrote:
>

>> I would appreciate some hints on solving this problem:
>>
>> Show that any rational number p/q, for which the prime factorization of q
>> consists entirely od 2s and 5s, has a terminating decimal expansion.
>> Thanks.

>
> If q = 2^m*5^n for non-negative integers m and n, let k = max(m,n)
>
> then r = (p/q)*10^k is an integer, so and p/q = r/10^k.
> --
>
>

Thanks I see it now.





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