Virgil
Posts:
8,833
Registered:
1/6/11


Re: Can a fraction have none noneending and nonerepeating decimal representation?
Posted:
Jul 30, 2013 3:39 PM


In article <3ef71a1a01684f56bc9ef4af3d5f9fe0@googlegroups.com>, jonas.thornvall@gmail.com wrote:
> Den tisdagen den 30:e juli 2013 kl. 17:12:38 UTC+2 skrev > jonas.t...@gmail.com: > > Can a fraction have none noneending and nonerepeating decimal > > representation? > > I was thinking that is seem that the choice of base to represent fractions, > can lead to nonending repetive patterns, but can they also be none repetive? In any natural number base, not only base ten decimals, rationals are either terminating or repeating (all rationals are repeating if one includes eventually repeating only zeroes) and all irrationals are nonrepeating. > > I guess not, but a rounding error calculating Pi could easily transform a > perfectly rational fraction to irrational, isn't that true? > > A *SLIGHT* flaw in the arithmetic 

