JT
Posts:
568
Registered:
4/7/12
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Re: 1/3 partitioned expansion in different bases
Posted:
Feb 1, 2013 5:16 PM
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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
No what i say is that my number bases do not require 0, actually it
is pointless.
Example using base 3 (but is of course appliable to any base)
1=1
2=2
3=3
4=11
5=12
6=13
7=21
8=22
9=23
Well you get the hang of it, and what follows is...
3,333...=3,1
6,333...=13,1
9,666...=23,2
And as you can see the decimal expansions finite.
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