Math Is Fun Forum

Anthony.R.Brown

Banned

Registered: 2006-11-16

Posts: 516

Infinite 0.9 And Recurring 0.9 : Posts Only! : Unbiased!

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INFINITE 0.9 <> 1 PROOF : FORMULA : By,Anthony.R.Brown,12/02/07
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A = 1                " Single Start Value For 1 "

B = 0.9             " Single Start Value For 0.9 "

C ( A/B ) x B     " Infinite 0.9 Value "

D ( A - C )         " Infinite < 1 Value "

C <> ( C + D )  " INFINITE 0.9 <> 1 "

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RECURRING DEFINITION PROOF 03/03/07  by Anthony.R.Brown.
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The Definition for Recurring is given below..............................................................................

“ A Number that repeats itself Endlessly! Continuously repeating the same Number! “

Below are examples of Recurring Numbers! They are of course Endless! Length is example only! 

Recurring ( 0.1 ) = .111111111111111111111111111111111111111111111111111111111111111

Recurring ( 0.2 ) = .222222222222222222222222222222222222222222222222222222222222222

Recurring ( 0.3 ) = .333333333333333333333333333333333333333333333333333333333333333

Recurring ( 0.4 ) = .444444444444444444444444444444444444444444444444444444444444444

Recurring ( 0.5 ) = .555555555555555555555555555555555555555555555555555555555555555

Recurring ( 0.6 ) = .666666666666666666666666666666666666666666666666666666666666666

Recurring ( 0.7 ) = .777777777777777777777777777777777777777777777777777777777777777

Recurring ( 0.8 ) = .888888888888888888888888888888888888888888888888888888888888888

Recurring ( 0.9 ) = .999999999999999999999999999999999999999999999999999999999999999

The above examples are shown to be True! in the Calculations below! According to the Definition for Recurring!

( 0.1 ) Recurring < 1 and <> 1

( 0.2 ) Recurring < 1 and <> 1

( 0.3 ) Recurring < 1 and <> 1

( 0.4 ) Recurring < 1 and <> 1

( 0.5 ) Recurring < 1 and <> 1

( 0.6 ) Recurring < 1 and <> 1

( 0.7 ) Recurring < 1 and <> 1

( 0.8 ) Recurring < 1 and <> 1

( 0.9 ) Recurring < 1 and <> 1

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INFINITE 0.9 <> 1 PROOF : THE INFINITE 10 % PERCENT DIFFERENCE 03/03/07 
by Anthony.R.Brown.
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One of the most Accurate and sound ways to prove Infinite 0.9 <> 1 is to give the Infinite Percent Difference Values from the Start Onwards!

The example below is for the first Ten Decimal Place's,which clearly shows the count increasing as more and more Infinite .9's are looked at! But remain a constant Difference of 10% in relation to how far the example has traveled.

Count = ...... ( 1 ).....( 2 )....( 3 )...( 4 )....( 5 )...( 6 )....( 7 )....( 8 )....( 9 ).....( 10 )

Infinite 10 %
Difference =..(10%).(10%).(10%).(10%).(10%).(10%).(10%).(10%).(10%)...(10%)

Infinite 0.9 = ( 0.9 ) ( 1.8 )  ( 2.7 ) ( 3.6 )  ( 4.5 ) ( 5.4 ) ( 6.3 )  ( 7.2 ) ( 8.1 )  (  9   )

................... ( x 1 ) ( x 2 )  ( x 3 ) ( x 4 )  ( x 5 ) ( x 6 ) ( x 7 )  ( x 8 ) ( x 9 )  ( x 10 )

Infinite 0.9 Onwards! there will always be a 10 % Difference making it Impossible for Infinite 0.9 to ever = 1

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Maelwys

Member

Registered: 2007-02-02

Posts: 161

Re: Infinite 0.9 And Recurring 0.9 : Posts Only! : Unbiased!

Isn't this just ANOTHER duplicate topic of the conversation that's already gone on at 4 different threads by now? Can't we just keep it all in one place?

Anthony.R.Brown

Banned

Registered: 2006-11-16

Posts: 516

Re: Infinite 0.9 And Recurring 0.9 : Posts Only! : Unbiased!

To Maelwys

Quote:

" Isn't this just ANOTHER duplicate topic of the conversation that's already gone on at 4 different threads by now? Can't we just keep it all in one place? "

A.R.B

The Post heading is Unbiased!

George,Y

Member

Registered: 2006-03-12

Posts: 1,379

Re: Infinite 0.9 And Recurring 0.9 : Posts Only! : Unbiased!

Yes he's right. The title "0.999...=1" is already biased even before a reader opening the thread.

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X'(y-Xβ)=0

Maelwys

Member

Registered: 2007-02-02

Posts: 161

Re: Infinite 0.9 And Recurring 0.9 : Posts Only! : Unbiased!

Yes he's right. The title "0.999...=1" is already biased even before a reader opening the thread.

Then why don't we just ask a Moderator to change the title of the thread, instead of starting yet another new one?

George,Y

Member

Registered: 2006-03-12

Posts: 1,379

Re: Infinite 0.9 And Recurring 0.9 : Posts Only! : Unbiased!

That's a good idea but
I don't know whether the starter agrees changing the title. He's absent for so long.
Below is what he said in Post 1

"i noticed this some time ago and wondered how long it had been on mathsisfun.com.
plz can you tell me because i happen to know some1 who also discovered this and would like to know who found it first. also do any of you agree or disagree with this theory? i would like to know your thoughts on it, thanks."

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X'(y-Xβ)=0

Anthony.R.Brown

Banned

Registered: 2006-11-16

Posts: 516

Re: Infinite 0.9 And Recurring 0.9 : Posts Only! : Unbiased!

Another reason!

a lot of Questions! have been resolved on the other one! let's start a fresh!...............................

A.R.B

mathsyperson

Moderator

Registered: 2005-06-22

Posts: 4,900

Re: Infinite 0.9 And Recurring 0.9 : Posts Only! : Unbiased!

Please, no more new topics about this. The title may be unintentionally biased, but the topic creator clearly wasn't, as can be seen from his post.

He's not trying to convince anyone that it's true or false, he's just curious.
Come back to the other thread please. I'll edit the title if it makes you feel any better.

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Why did the vector cross the road?
It wanted to be normal.