JT
Posts:
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Registered:
4/7/12


Re: Can a fraction have none noneending and nonerepeating decimal representation?
Posted:
Jul 31, 2013 4:14 PM


Den tisdagen den 30:e juli 2013 kl. 21:39:04 UTC+2 skrev Virgil: > 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 > > 
Well what i said was that a slight error doing arithmetics could prevent Pi from becoming rational.

