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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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 Tucsondrew@me.com Posts: 1,161 Registered: 5/24/13
Re: Can a fraction have none noneending and nonerepeating decimal representation?
Posted: Jul 31, 2013 8:13 PM

On Wednesday, July 31, 2013 3:02:46 PM UTC-7, jonas.t...@gmail.com wrote:
> Den onsdagen den 31:e juli 2013 kl. 23:48:26 UTC+2 skrev Zeit Geist:
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> > On Wednesday, July 31, 2013 2:38:02 PM UTC-7, jonas.t...@gmail.com wrote:
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> > > Den onsdagen den 31:e juli 2013 kl. 23:18:14 UTC+2 skrev Zeit Geist:
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> > > Let me see what you are saying Pi is irrational ->because it is ***represented*** by an increasing sequense ***decimals***, well so is 1/3.
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No, Pi is irrational, SO it can only be represented as a sequence of rational numbers.

Whereas, 1/3 is rational and can be represented by a ratio of natural numbers.

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> > > Nothing new for me here. Yes i do know Pi is nonerepeating and increasing using ordinary decimals. And i do realise that if i can express Pi as a fraction or a series fractions, or using another base and make it have a fixed number of digits it becomes rational.
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> > Pi is irrational by its nature.
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> > Unless you can express a transcendental base, it will never be a
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> > > You know i really like to get rid of those zeros.
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> > > Maybe you missed something i said.
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> > Maybe I just misunderstood.
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> > How do you propose to get rid of all those zeros?
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> > ZG
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> Using a geometric tool with symmetric properties, fractions, and bijective base that suits the symmetric properties of the object, that way i don't have to pretend that 1/3 is impossible to express as a complete term with finished expansion in the natural bases.

Bijective bases do not change the irrationality/transcendentality of any real number.

These are properties that are Absolute in any base.

BTW, what's your definition of a real number?

ZG

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
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