JT
Posts:
570
Registered:
4/7/12
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Re: 1/3 partitioned expansion in different bases
Posted:
Feb 2, 2013 12:45 AM
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On 1 Feb, 15:06, Frederick Williams <freddywilli...@btinternet.com>
wrote:
> JT wrote:
> > And 0.999... would be expressed as 0.3 or.......?
>
> What are you asking? Does 0.9 recurring (in base 10) have the same
> value as 0.3 (in base 3)? No, 0.9 recurring (in base 10) has the same
> value as 1.0 (in base 3).
>
> --
> When a true genius appears in the world, you may know him by
> this sign, that the dunces are all in confederacy against him.
> Jonathan Swift: Thoughts on Various Subjects, Moral and Diverting
Well actually in this numbersystem in base 3
0,3=1
This means that 0,3 actually completes 0.999... in standard digit
expansion, it is the sum of all possible fractions of a single natural
number.
So in my bases a single natural actually equals the sum of all
fractions thus 1=0,3 in base 3 the decimal expansion is complete.
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