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[split] 0.999... equals 1
#1
[split] 0.999... equals 1
DUH! 1 doesn't just equal 1! it also is equal to .999...

http://en.wikipedia.org/wiki/0.999...

Tee hee
Rhizo
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#2
RE: How do you rate?
(September 21, 2009 at 5:29 pm)Rhizomorph13 Wrote: DUH! 1 doesn't just equal 1! it also is equal to .999...

http://en.wikipedia.org/wiki/0.999...

Tee hee
Rhizo

Then the universe becomes nothingness, which is equal to itself (0 = 0 | | 1 = 1)... therefore righting the inequality.
-OR if it were 1.001-
The universe becomes a single ever compounding mass... creates a singularity... which then rights the inequality.
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#3
RE: How do you rate?
(September 21, 2009 at 5:32 pm)Saerules Wrote: Then the universe becomes nothingness, which is equal to itself (0 = 0 | | 1 = 1)... therefore righting the inequality.
-OR if it were 1.001-
The universe becomes a single ever compounding mass... creates a singularity... which then rights the inequality.
No it doesn't. 1 is provably 0.999... (reoccuring)

Here is my favourite proof:

x = 0.999...
10x = 9.999...
10x - x = 9.999... - 0.999...
9x = 9
x = 1

So x = 0.999... = 1

Find the error in my math if you want, but you won't since this thing has been known by mathematicians for years Big Grin
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#4
RE: How do you rate?
10X - X = 9X
9X = 8.991
Best regards,
Leo van Miert
Horsepower is how hard you hit the wall --Torque is how far you take the wall with you
Pastafarian
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#5
RE: How do you rate?
No, you are forgetting the reoccuring values. 0.999 x 9 does indeed equal 8.991, but 0.999... (reoccuring) is the same value as 1, as my calculation showed.

You can do it the other way:

1/3 = 0.333... (reoccuring)
3 * 1/3 = 3 * 0.333...
1 = 0.999...
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#6
RE: How do you rate?
It is still 10X - 1X=9X, not 10x value rounded off - 1x value rounded off.
Just like your division, first you simplify to the total amount of X needed, then do your multiplication/division.
Best regards,
Leo van Miert
Horsepower is how hard you hit the wall --Torque is how far you take the wall with you
Pastafarian
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#7
RE: How do you rate?
I don't think you are quite getting the calculation.

We set x to 0.999... (reoccuring). 10x is therefore 9.999... (simple multiplication).

To get 9x, we need to subtract x from 10x (10x - x), which is the same as doing the calculation 9.999... - 0.999...

So 9x = 9

So x = 1.

The calculation is explained in more detail here: http://en.wikipedia.org/wiki/0.999...

0.999... is a real number equal to one.
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#8
RE: How do you rate?
(September 22, 2009 at 9:42 am)Tiberius Wrote: I don't think you are quite getting the calculation.

We set x to 0.999... (reoccuring). 10x is therefore 9.999... (simple multiplication).

To get 9x, we need to subtract x from 10x (10x - x), which is the same as doing the calculation 9.999... - 0.999...

So 9x = 9

So x = 1.

The calculation is explained in more detail here: http://en.wikipedia.org/wiki/0.999...

0.999... is a real number equal to one.

I find this extremely fascinating! I'm reading on the wiki site now!
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#9
RE: How do you rate?
If you are more into mathematics, this one might be an interesting read too: http://www.faqs.org/faqs/sci-math-faq/sp.../0.999eq1/
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#10
RE: How do you rate?
http://www.wolframalpha.com/input/?i=10X...X+%3D+.999
Best regards,
Leo van Miert
Horsepower is how hard you hit the wall --Torque is how far you take the wall with you
Pastafarian
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