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☖ Forums → Discussion Forum → Does 0.999 repeating equal 1?
123456
Does 0.999 repeating equal 1?
2007-03-11, 2:25 PM #201
STOP IGNORING MY POSTS

THE VALUE THAT A SERIES CONVERGES TO IS ITS SUM
一个大西瓜
2007-03-11, 3:17 PM #202
.9999....

The more 9's the closer you get to one.

A finite number of 9 will never reach one. But we're not talking about a finite number are we? Stop treating it like one.
2007-03-11, 3:20 PM #203
Hah, my thread got closed first; I win.
Stuff
2007-03-11, 7:54 PM #204
We are using a base 10 number system. All possible fractions between 0.999... and 1 are accounted for by the infinite series. Hence, there is no mathematical difference between them.
By saying there is a number in between them implies that you don't understand the concept infinity or that you deny long division.

Also, does
+0.00000r = 0?
-0.00000r = 0?
This is retarded, and I mean drooling at the mouth
2007-03-12, 2:07 AM #205
Hey, I'm quite proud of the fact that I can divide 1 by 1 and get 0.9r. Also, I resorted to "mathematical theatrics" because I couldn't think of anything else to get the point across.
Ban Jin!
Nobody really needs work when you have awesome. - xhuxus
2007-03-12, 8:26 AM #206
FYI: Here's a reference to this argument:

http://www.reference.com/browse/wiki/0.999...

Turns out even mathematicians get confused by this one and continue to argue about it. I'm going to sit on the wall and say 0.999(9)->1, so in most cases you can say =1.
One should never throw the letter Q into a privet bush
Vin Diesel shot the sheriff, but he did not shoot the deputy; he ate him alive instead.
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2007-03-12, 10:47 AM #207
this thread needs to end now. .9999999_ = 1. eot
New! Fun removed by Vinny :[
2007-03-12, 11:25 AM #208
I always figured one could define:
0.999... = 1 - dx
and so in the limit of dx->0, 0.999->1
I guess whether or not tending in the limit is the same as equality is a semantic debate, but I would say yes. 0.9 followed by an infinite number of 9s must be 1.
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2007-03-12, 11:37 AM #209
I can't really comprehend infinitesimally close values but I just know the 1/3 * 3 = .3333.... * 3 proof that a lot of people have referred to already. Also infinitesimally means its 1/infinity which is pretty much 0, so if it has an infinitesimal distance its a distance of 0.
"The only crime I'm guilty of is love [of china]"
- Ruthven
me clan me mod
2007-03-12, 12:07 PM #210
I e-mailed my math professor from last year about it:

Here's why 0.9999.... = 1:

First, let x=0.99999.....

Then 10x = 9.99999.....

and 10x - x = 9x

and 9.9999..... - 0.99999 = 9.

Hence 9x = 9

so x=1.

This is really about the same as the fact that 0.33333..... = 1/3,
but this one seems to disturb
people a lot more for some reason...
Fincham: Where are you going?
Me: I have no idea
Fincham: I meant where are you sitting. This wasn't an existential question.
2007-03-12, 12:09 PM #211
0.9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999... = 1

I HATH DECREED
Code to the left of him, code to the right of him, code in front of him compil'd and thundered. Programm'd at with shot and $SHELL. Boldly he typed and well. Into the jaws of C. Into the mouth of PERL. Debug'd the 0x258.
2007-03-12, 12:12 PM #212
Here's a question, if subtracting .000....1 is equal to subtracting 0, then it must be the same as adding right? So 1.00000......... 1 = 1?
"The only crime I'm guilty of is love [of china]"
- Ruthven
me clan me mod
2007-03-12, 2:30 PM #213
If you could put a further digit after an infinite number of zeroes, then yes, tinny, 1.00...1 would equal 1. However, an infinite number of zeroes means there is no place to put that final 1.
2007-03-12, 3:09 PM #214
I think some mathematicians were drinking when they established some parts of the system.
2007-03-12, 3:15 PM #215
Originally posted by tinny:
Here's a question, if subtracting .000....1 is equal to subtracting 0, then it must be the same as adding right? So 1.00000......... 1 = 1?


Yes. Because the 1 is followed by a decimal point and then an infinite string of zeroes. Because that's what 1 is.
If you think the waiters are rude, you should see the manager.
2007-03-12, 4:43 PM #216
Originally posted by tinny:
Here's a question, if subtracting .000....1 is equal to subtracting 0, then it must be the same as adding right? So 1.00000......... 1 = 1?


There is no real number that you can subtract from 1 to get 0.999_. It doesn't matter how many zeroes you add to the back of the number you will never ever find a place to put a 1.
2007-03-12, 5:18 PM #217
Yeah, the rule also doesn't apply to just 1 either.

This thread is 100% more sane without Alice :downs:
2007-03-12, 6:15 PM #218
sod the maths, they're totally different, one of em has a zero, a full stop, a load of nines and then sometimes an r.

1 has.... a 1.

signified.
2007-03-12, 6:34 PM #219
Originally posted by Cool Matty:
This thread is 100% more :) without :downs:
.
2007-03-12, 9:05 PM #220
Originally posted by Cool Matty:
This thread is 100% more sane without Alice :downs:

Yea that guy must've been some serious philosophy major or something ... :eng101:
This is retarded, and I mean drooling at the mouth
2007-03-12, 9:39 PM #221
Oh yeah well 2 = 1

I WENT THERE!
Code to the left of him, code to the right of him, code in front of him compil'd and thundered. Programm'd at with shot and $SHELL. Boldly he typed and well. Into the jaws of C. Into the mouth of PERL. Debug'd the 0x258.
2007-03-12, 9:42 PM #222
2+2=5

o.0
2007-03-12, 9:45 PM #223
I think the same thing when I think about the Patiot Act.

But that's neither here nor there.
>>untie shoes
2007-03-12, 9:47 PM #224
Originally posted by F-Body:
Yea that guy must've been some serious philosophy major or something ... :eng101:


Don't give her the credit of having attended a university. It wasn't a real one.
"it is time to get a credit card to complete my financial independance" — Tibby, Aug. 2009
2007-03-12, 9:48 PM #225
Blah... forgot to hit quote message in reply... now I look like an idiot.

What's new?
>>untie shoes
2007-03-12, 10:08 PM #226
Her? Maybe a 10% probability. More likely that person is this person
[url]http://www.ssqq.com/romance/images/fat guy.jpg[/url]
This is retarded, and I mean drooling at the mouth
123456

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