Date: Jan 18, 2013 11:47 PM
Subject: Re: Terminating Deciamal Expansion
In article <1oCdneKuT4nqi2fNnZ2dnUVZ_rCdnZ2d@earthlink.com>,
"Charles Hottel" <email@example.com> 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.
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.