Proving 0.999... Is...
 
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Proving 0.999... Is Equal To 1

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(@peter-ehlert)
Posts: 2951
Topic starter
 

Proving 0.999... Is Equal To 1

 
Posted : October 14, 2010 5:56 am
(@gordon-svedberg)
Posts: 626
 

(.999 x 10) - .999 [tex]does not equal[/tex] 9

 
Posted : October 14, 2010 7:36 am
(@bill93)
Posts: 9834
 

You missed the ... which means the 9's go on forever.
Then it works.

 
Posted : October 14, 2010 8:31 am
(@dan-rittel)
Posts: 458
 

and 7 x 13 = 28

[flash width=480 height=385] http://www.youtube.com/v/4W7XJ41JPSc?fs=1&hl=en_US [/flash]

 
Posted : October 14, 2010 9:48 am
(@jim-in-az)
Posts: 3361
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and 7 x 13 = 28

I presume this is another image that I can't see...

 
Posted : October 14, 2010 10:43 am
(@dan-rittel)
Posts: 458
 

and 7 x 13 = 28

> I presume this is another image that I can't see...

Youtube video.

 
Posted : October 14, 2010 10:45 am
(@bill93)
Posts: 9834
 

2=1

I'm sure many have seen this old one

Let a=b any arbitrary value
then multiply by a on each side,
a^2 = ab
subtract the same quantity on each side
a^2 - b^2 = ab - b^2
Factor
(a+b)(a-b) = b(a-b)
Cancel out the common term
a+b = b
But a=b so
2b = b
and dividing out b
2=1

Simple algebra. Ain't math wonerful?

 
Posted : October 14, 2010 11:46 am
(@the-pseudo-ranger)
Posts: 2369
 

Let a = 0.999... then we can multiply both sides by ten yielding 10a = 9.999

No, because you're violating the rules of significant figures for the intermediate steps when you do it this way.

a = 0.999....

(X 10.0)

10a = 9.99 ... <

(-a)

10a - a = 9.99.... - a

9a = 9.99.... - a

a = (9.99 ... - .999 ...) / .999

a = .999

 
Posted : October 14, 2010 11:53 am
 RFB
(@rfb)
Posts: 1504
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2=2

I get
[tex]a=sqrt(b*a)[/tex]

I diverged at "Cancel out the common term"

 
Posted : October 14, 2010 11:58 am
(@jim-in-az)
Posts: 3361
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and 7 x 13 = 28

Site blocked. www.youtube.com is not allowed on this network.
:-S

 
Posted : October 15, 2010 1:01 pm