Does .999999... = 1? - Topic

MFourC

Member

Posts: 3,053

Joined: Apr 8 2010

Gold: 0.00

Warn: 50%

#791

Jun 3 2010 04:59pm

Quote (hotdogski @ Apr 11 2010 08:10am)

lol...

When you divide by 1 by 3 you get an infinite number

http://www.google.com/search?q=1%2F3&ie=utf-8&oe=utf-8&aq=t&rls=org.mozilla:en-US:official&client=firefox-a

now put that same number on your calculator and multiply by 3.

What do you get?

If you multiply an infinite number by the reciprocal of its divisor, then of course you are going to get what you started with... but just go ahead and try to multiply that infinite number, your argument its moot. And not even worth arguing..

lold

MFourC

Member

Posts: 3,053

Joined: Apr 8 2010

Gold: 0.00

Warn: 50%

#792

Jun 3 2010 04:59pm

Holu fucking shit that's alot of replies.
But i agree with the lold^

chone

Member

Posts: 430

Joined: Jun 19 2008

Gold: 111.10

#793

Jun 3 2010 05:14pm

Quote (murder567 @ Jun 3 2010 06:59pm)

how retarded are u? lol
subtract this from one side and something different from the other
u have to do the SAME thing to each side
like i cant say

3x = 1
then add 4x to 1 side and subtrac 3 from another
7x = -2

x has 2 diff valus in there because u did different thing from each side. your a fucking tard

what

x has one value. he never did different things to both sides (he did use 'x' and '0.999...' interchangeably, which is fine since they are equal).

please point to the specific steps in which you believe he did different things to each side. oh, look at that...

Hammer_Hdin

Member

Posts: 18,180

Joined: Jun 5 2009

Gold: 5.00

Warn: 10%

#794

Jun 4 2010 06:33am

Quote (Scorch1272 @ Jun 1 2010 09:15am)

This thread should not have carried on this long... it runs along the lines of the concept of infinity in that 1 / 3 (for example) is an absolute number... but when converted to its decimal form there is an infinite number of decimal places, and this number no longer is exact, therefore 3 * .333333333.... = 1 is inaccurate due to the inability to have infinite decimal places

The term 0.333... means infinitely recurring, so it IS possible to have infinite decimal places.

Quote (red_man_27 @ Jun 1 2010 05:31am)

lol your arguments are dumb.
we all know 0.9999999999 does not equal 1
a preschool kid could tell you that.

I'm sure a preschool kid would tell me that.
But a mathematician would tell me otherwise.

soulofdragon

Member

Posts: 212

Joined: Feb 5 2010

Gold: 336.50

#795

Jun 5 2010 05:41pm

Quote (Hammer_Hdin @ Jun 4 2010 06:33am)

The term 0.333... means infinitely recurring, so it IS possible to have infinite decimal places.

I'm sure a preschool kid would tell me that.
But a mathematician would tell me otherwise.

x=.9999999999999

If i have 10x = 9.9999999999

Subtract x from ea side (.999999999 from the side without x)

Divide ea side by 9

x=1

(-x) 10x = 9.9999999999 (-.999999999999)
(/9) 9x = 9 (/9)
x = 1

10x = 9.9999999999
9x = 9
x = 1

Seksi84

Member

Posts: 9,039

Joined: Nov 16 2009

Gold: 581.50

Warn: 10%

#796

Jun 5 2010 05:55pm

If I post a pornographic picture here, will I just get a warn/temp ban, or is there a chance that this thread will actually get closed?

ass666

Member

Posts: 10,365

Joined: Aug 5 2007

Gold: 0.00

#797

Jun 5 2010 07:44pm

let Q be the field of rational numbers
let t be .999 repeating
let Q(t)/Q be the field extension of Q by adjoining t
Then Q(t) = {a + bt | a,b belong to Q}
take x in Q(t)
x = m + nt
t = .9 repeating
10t = 9.9 repeating = 9 + t
x = m + (10t-9)t = m + 10t^2 -9t belongs to Q(t) = {a + bt | a,b belong to Q}
hence 10t^2 belongs to Q(t) ==> t^2 belongs to Q(t)
then either
or t^2 is in tQ ==> t is in Q ==> Q(t) = Q
t^2 is in Q ==>[Q(t):Q]=2
t^2 = .99.^.99. = .9*.9 + 2*.099.*.9 + .09.*.09. = .81 + .179.+.0081 = .99. = t ==> t belongs to Q ==> Q(t) = Q
either way Q(t) = Q

hence I've shown that t is in Q
then t = a/b | a,b belong to N the natural numbers
a = bt
10a = 10bt = 9b +bt = 10a
10a - bt = 9a = 9b ==> a=b ==> t = a/b = 1/1 = 1

sevlo

Member

Posts: 12,566

Joined: Sep 15 2009

Gold: 0.00

#798

Jun 6 2010 04:36am

Bump

shem

Member

Posts: 10,633

Joined: Sep 15 2007