JT
Posts:
568
Registered:
4/7/12
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Re: 1/3 partitioned expansion in different bases
Posted:
Feb 2, 2013 12:06 AM
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On 2 Feb, 03:54, forbisga...@gmail.com wrote:
> On Friday, February 1, 2013 1:10:12 PM UTC-8, JT wrote:
> > You are confused the zeros in 1/2 1/4 etc etc is imaginary not real.
> > And for the endless expansion of digits in 1/3, 1/7 i offered a
> > solution using bases without zero.
>
> And what of x in
> x = 1 - 1
>
> Now construct 1/9th in base 3.
>
> 0.[9] in base 10(given 9 is followed by 10)
> 0.[2] in base 3 is the same.
>
> x = 0.[2]
> 10x = 2.[2]
> 10x - x = 2
> 2x = 2
> x = 1
>
> I can disagree with Frederik Williams about
> .3 base 3 = 1 base 3 in your numbering system
> Now what was the benefit again? Why do I want a
> 3 in base 3?
In base 3
1/81=(4)1
1/243=(5)1
You get terminating digits and no rounding errors.
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