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Topic: .9 repeating
Replies: 667   Last Post: Dec 24, 2013 6:11 PM

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 ross.finlayson@gmail.com Posts: 2,628 Registered: 2/15/09
Re: .9 repeating
Posted: Nov 1, 2013 9:07 PM

On Monday, March 9, 2009 5:35:59 PM UTC-7, BURT wrote:
> Is below one by the infinitely nonzero small. It is the closest thing
> to one.
>
> Add the infinitely small and you get one.
>
> Mitch Raemsch

I agree, Raemsch.

Some four years later, .9 repeating as you put it is writing .999, not dividing it as to where next is .09, .009, ..., that is to zero.

1 - .999... = 0

1 - .9 repeating, .99 repeating, .999 repeating , .9999 repeating, .99999..., = 1.

It's

1 - .9 repeating, .99 repeating, .999 repeating , .9999 repeating, .99999..., = 1, until there is the least one different, minus the eventual numbers in order that are lesser and still lesser.

Then if you counted up from zero then they would add up to one, yes. They all start with .000....

Here there are obviously consequent, or rather, there is.

Here it is that the consequence of the next closer number of greater expansion than one, to one, has that it either either or doesn't in the eventual, get closer to or farther away from one. Then of course:

1 - 0.999... = 0
1 - .9, .99, .999, repeating, = 0

1 = 0.999... = .999 that ones of the terms starting with .999 in their order would return .000..., here that would have the sequence is either rising or falling in the operation.

These are all the usual constructions.

Regards, Ross Finlayson

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