New Proof that 1 = .999999999 Repeating

venk

Banned
Dec 10, 2000
7,449
1
0
The difference between 1 and .9 is 1/10 or .1
The difference between 1 and .99 is 1/100 or .01
The difference between 1 and .999 is 1/1000 or .001

Therefore


The difference between 1 and .99999 Repeating is 1/infinity or 0

Therefore 1 = .99999 Repeating


CLIFFS
--------------
1-.9 = .1
1 - .99 = .01
1- .999 = .001
1 - .9999 Repeating = 0
 

DannyBoy

Diamond Member
Nov 27, 2002
8,820
2
81
www.danj.me
Originally posted by: MrChad
Oh
My
God
:roll:

You would think something as well known as this on the forums couldn't POSSIBLY get reposted, it's been discussed over and over so many god damn times now.
 

Anubis

No Lifer
Aug 31, 2001
78,712
427
126
tbqhwy.com
you know i didnt read that HUGE other thread but we proved this in college, so i dont see what the big issue is
 

91TTZ

Lifer
Jan 31, 2005
14,374
1
0
I still like my argument that .9999 repeating = the largest possible fraction less than 1. It misses being 1 by the smallest possible amount.

I know for all intents and purposes math considers .9999..... to be 1, so this is more of a logic/philosophy argument.

 

UncleWai

Diamond Member
Oct 23, 2001
5,701
68
91
that prove doesn't work unless you put in terms of series,
which is already mentioned.
 

silverpig

Lifer
Jul 29, 2001
27,703
12
81
Originally posted by: 91TTZ
I still like my argument that .9999 repeating = the largest possible fraction less than 1. It misses being 1 by the smallest possible amount.

I know for all intents and purposes math considers .9999..... to be 1, so this is more of a logic/philosophy argument.

*sigh*

You're wrong. It's not philosophy, it's math. 1 = .999... and that is that.


This thread ends *now*
 

TuxDave

Lifer
Oct 8, 2002
10,571
3
71
Once again it depends if you believe there is such thing as a 'smallest positive number' greater than zero.
 

91TTZ

Lifer
Jan 31, 2005
14,374
1
0
Originally posted by: silverpig
*sigh*

You're wrong. It's not philosophy, it's math. 1 = .999... and that is that.


This thread ends *now*

In logic, 1 = 1, and .999... would not equal 1. Since .9999... is a different number than 1, it cannot be 1.


An infinite number of 9's following the decimal point means that in each digit, the "9" indicates that it falls short of "10". It is infinite 9's.... there is no 10. It misses 1 by an infinitely small number, which is math is not significant. But in logic, it is significant.
 

91TTZ

Lifer
Jan 31, 2005
14,374
1
0
Originally posted by: Lizabath
no you are wrong 91ttz,

.999... = 1

Take some advance math courses and you will find out why. :p


I've taken both math and logic courses. In math courses you're right- .999... does equal 1. In logic class, they'd say that it cannot be 1, because if it was 1 it would be written as 1 and not .999....

I repeat, I am not arguing about this in the mathematical sense, since it does equal 1. I am arguing about it in the logical sense.
 

datalink7

Lifer
Jan 23, 2001
16,765
6
81
Originally posted by: Lizabath
no you are wrong 91ttz,

.999... = 1

Take some advance math courses and you will find out why. :p

He isn't argueing from a mathematical perspective. He is argueing from a logical perspective.



Kind of funny actually, I just get back from taking my Logic final and see this thread :p