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Topic: Can a fraction have none noneending and nonerepeating decimal representation?
Replies: 108   Last Post: Aug 16, 2013 5:22 PM

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 Virgil Posts: 8,833 Registered: 1/6/11
Re: Can a fraction have none noneending and nonerepeating decimal representation?
Posted: Jul 31, 2013 5:29 PM

jonas.thornvall@gmail.com wrote:

> Den onsdagen den 31:e juli 2013 kl. 22:22:28 UTC+2 skrev Virgil:
> >
> > jonas.thornvall@gmail.com wrote:
> >
> >
> >

> > > Den tisdagen den 30:e juli 2013 kl. 21:39:04 UTC+2 skrev Virgil:
> >
> > > > In article <3ef71a1a-0168-4f56-bc9e-f4af3d5f9fe0@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
> >
> > > >
> >
> > > > non-repeating.
> >
> > > >
> >
> > > > >
> >
> > > >
> >
> > > > > 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.
> >
> >
> >
> > A rounding error in calculating pi is much more likely to make pi seem
> >
> > rational, since in calculating pi without error it is not.
> >
> > --

>
> Or your arithmetic is not upto it, who knows

Those who know pi is irrational all know!
--

Date Subject Author
7/30/13 JT
7/30/13 JT
7/30/13 Virgil
7/31/13 JT
7/31/13 Virgil
7/31/13 JT
7/31/13 Tucsondrew@me.com
7/31/13 JT
7/31/13 Tucsondrew@me.com
7/31/13 JT
7/31/13 Tucsondrew@me.com
7/31/13 JT
7/31/13 Virgil
7/31/13 Virgil
7/31/13 JT
7/31/13 Tucsondrew@me.com
7/31/13 JT
7/31/13 Tucsondrew@me.com
7/31/13 JT
7/31/13 JT
7/31/13 JT
7/31/13 JT
7/31/13 JT
7/31/13 LudovicoVan
7/31/13 JT
7/31/13 LudovicoVan
7/31/13 JT
7/31/13 JT
7/31/13 JT
7/31/13 Virgil
8/1/13 JT
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8/1/13 Virgil
8/1/13 Virgil
8/1/13 JT
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7/31/13 JT
8/4/13 Brian Q. Hutchings
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7/31/13 Tucsondrew@me.com
7/31/13 Virgil
8/1/13 magidin@math.berkeley.edu
8/1/13 JT
8/1/13 Peter Percival
8/1/13 JT
8/1/13 Peter Percival
8/1/13 JT
8/1/13 Peter Percival
8/1/13 JT
8/1/13 Virgil
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8/1/13 magidin@math.berkeley.edu
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8/1/13 Virgil
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8/1/13 magidin@math.berkeley.edu
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