PDA

View Full Version : 0.99999... = 1



TheCurator
04-26-2011, 12:14 AM
If you think otherwise you are a moran

Opies
04-26-2011, 12:15 AM
well duh. It's only been proven like 40 different ways

Ataglance1234
04-26-2011, 12:15 AM
in...im fuked up but im in

niktak11
04-26-2011, 12:15 AM
I agree with this statement

Crenity
04-26-2011, 12:16 AM
0.99999999999999999 = 0.99999999999999999.





http://img62.imageshack.us/img62/9002/areyoumadatmeforsomerai.jpg (http://img62.imageshack.us/i/areyoumadatmeforsomerai.jpg/)

everglide123
04-26-2011, 12:17 AM
why?

TheCurator
04-26-2011, 12:21 AM
0.99999999999999999 = 0.99999999999999999.





http://img62.imageshack.us/img62/9002/areyoumadatmeforsomerai.jpg (http://img62.imageshack.us/i/areyoumadatmeforsomerai.jpg/)

0.99999999999999999 != 0.999... (recurring)

0.999... = 0.999... = 1


why?

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

Achiral
04-26-2011, 12:22 AM
and here we go

HeavyLifter317
04-26-2011, 12:24 AM
lol

Crenity
04-26-2011, 12:28 AM
explain how a number starting with 0 can equal 1!?!!?!! zomg rawr

snizzle77
04-26-2011, 12:29 AM
it's 288

blooeyez
04-26-2011, 12:34 AM
If .9999999999 = 1

then...

.0000000000...01 = 0

But

.0000000000...01 + .99999999999 = 1 not .999999999999


Ergo...


8======D ~~~~~ O-:

JustDuIt
04-26-2011, 12:37 AM
so then what does 0.9999999999999999999999999999..... + 349 =?

Brad155
04-26-2011, 12:42 AM
0.99999999999999999 != 0.999... (recurring)

0.999... = 0.999... = 1



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

not exactly a proper proof, saying 10x=9.999.... assumes already that .999... equals 1, that's why the math works out as it does. But, the point is still correct, .999... does equal one but for a different reason.

playahata
04-26-2011, 12:43 AM
Since:

1/3 = .333333...
2/3 = .666666...

1/3 + 2/3 = .999999... = 1.

erryone go to bed

TheCurator
04-26-2011, 12:43 AM
hmm that's weird, I guess your right but it's sort of a paradox.

0.999 grams of protein =/= 1 gram of protein. Not the same amount of molecules/protons/quarks.

0.999 is not the same thing as 0.999...


If .9999999999 = 1

then...

.0000000000...01 = 0

But

.0000000000...01 + .99999999999 = 1 not .999999999999


Ergo...


8======D ~~~~~ O-:


0.000.... 001 =/= 0

8====D---()8p


so then what does 0.9999999999999999999999999999..... + 349 =?

bout tree fiddy

Addthefun123123
04-26-2011, 12:43 AM
OP i am disappoint at your poor attempt at rehashing an old argument for no reason but your own ego

fuglybrah
04-26-2011, 12:44 AM
Inb4 misc has a math war all over again..

BBmisc420196
04-26-2011, 12:45 AM
If .9999999999 = 1

then...

.0000000000...01 = 0

But

.0000000000...01 + .99999999999 = 1 not .999999999999


Ergo...


8======D ~~~~~ O-:
You can't put .01 after an infinite, that makes no sense at all. You need to define a finite amount of numericals before the 1.

Dumbass

Also OP is 100% correct. Anyone saying otherwise is a retard and needs to be put to sleep so they cannot reproduce, infecting this earth with their retarded genes

TheCurator
04-26-2011, 12:45 AM
not exactly a proper proof, saying 10x=9.999.... assumes already that .999... equals 1, that's why the math works out as it does. But, the point is still correct, .999... does equal one but for a different reason.

No, 10x = 9.999... does not assume that 0.999... equals 1. What does 10 times 0.999... equal?

Brad155
04-26-2011, 12:48 AM
No, 10x = 9.999... does not assume that 0.999... equals 1. What does 10 times 0.999... equal?

Using algebra on an infinite series is just something I don't like to do. Infinity is not subject to the laws of arithmetic, you can "prove" anything you want by making that mistake. Not to say I disagree, I just wouldn't use that as a proof. I completely do agree .999...=1.

Clifford-James
04-26-2011, 12:51 AM
If you think otherwise you are a moran

Moran






































































Moran

gmack24
04-26-2011, 12:53 AM
I don't see how that is possible....saying 1/3 is EXACTLY .333.... is not true to me... 1/3 is 3/9

.33333.... x 3 =/= 100


Algebra proof

(Moved from above to ease editing)

Another kind of proof adapts to any repeating decimal. When a fraction in decimal notation is multiplied by 10, the digits do not change but the decimal separator moves one place to the right. Thus 10 × 0.9999… equals 9.9999…, which is 9 more than the original number. To see this, consider that subtracting 0.9999... from 9.9999… can proceed digit by digit; the result is 9 − 9, which is 0, in each of the digits after the decimal separator. But trailing zeros do not change a number, so the difference is exactly 9. The final step uses algebra. Let the decimal number in question, 0.9999…, be called c. Then 10c − c = 9. This is the same as 9c = 9. Dividing both sides by 9 completes the proof: c = 1."

This is not true because if c were a variably then it may be replaced by any number. For exaple, if c=5 then 10(5) -5 would equal 9, which it clearly does not. That leaves c to be a constant, which in this case c will aways equal .9 infinity. Although 10(.9999...)-(.9999...) does equal 9, the second part of the equation does not equal 9. When you substitute c is the equation 9 *(.9999...)= 9.9999... and not 9.

TheCurator
04-26-2011, 12:53 AM
Using algebra on an infinite series is just something I don't like to do. Infinity is not subject to the laws of arithmetic, you can "prove" anything you want by making that mistake. Not to say I disagree, I just wouldn't use that as a proof. I completely do agree .999...=1.

why dont u say that to my face fuker not online see what happens

Mike-anon
04-26-2011, 12:54 AM
Moran







Moran

http://2.bp.blogspot.com/_I0JyZiMKuh0/Rxej1hRS6VI/AAAAAAAAAB8/G0lhCoLlSs8/s400/image001.jpg

In b4 ten pages of people not realizing the significance of "..."

Edit: 288. Anteater. JTF2 > SAS. USA > Britain. blasting music from your car, is it alpha?

Brad155
04-26-2011, 12:57 AM
why dont u say that to my face fuker not online see what happens

Gladly, I will then prove to you why you can't use laws of arithmetic on infinity. Should be an enlightening encounter.

Pastier911
04-26-2011, 12:58 AM
show me when .999... turns to 1 and i'll believe you.

and lol at you "disproving" most people because they forgot to put ...

Chris_1990
04-26-2011, 12:59 AM
Since when the **** do you use "..." in mathematics?

it's 0.(9) = 1

GlassjawX
04-26-2011, 12:59 AM
ya... just like how .33333333..... = 1/3

same logic. it's not hard to understand. lol.

sizeNstrength
04-26-2011, 12:59 AM
The proper thread title should be:

Mathematically 0.(9) CAN = 1


Saying it any other way doesn't really work.

BBmisc420196
04-26-2011, 01:00 AM
show me when .999... turns to 1 and i'll believe you.

and lol at you disproving most people because they forgot to put ...

0.9........ doesnt turn into 1, it is 1.

0.3.... = 1/3
0.6.... = 2/3
0.9.... = 3/3

Didnt you learn this in school like most people???

maxwellbauer
04-26-2011, 01:02 AM
an apple with a tiny bite out of it = a full apple...

amidoinitrite?

Brad155
04-26-2011, 01:02 AM
0.9........ doesnt turn into 1, it is 1.

0.3.... = 1/3
0.6.... = 2/3
0.9.... = 3/3

Didnt you learn this in school like most people???

again, wouldn't use this as a proof for the same reasons I stated earlier, but I agree.

ANGRYGOAT
04-26-2011, 01:04 AM
notthis****again.jpg





0.99999999999999999 != 0.999... (recurring)
x = 0.999...
10x = 9.999...
10x-x = 9.999... - 0.999...
9x = 9
x = 1

well theres ur problem

ALEXH-
04-26-2011, 01:04 AM
How about no OP

Pastier911
04-26-2011, 01:06 AM
0.9........ doesnt turn into 1, it is 1.

0.3.... = 1/3
0.6.... = 2/3
0.9.... = 3/3

Didnt you learn this in school like most people???

somehow you can't understand what i'm trying to say .9.. goes on forever never is one

maxwellbauer
04-26-2011, 01:07 AM
You can't put .01 after an infinite, that makes no sense at all. You need to define a finite amount of numericals before the 1.

Dumbass

Also OP is 100% correct. Anyone saying otherwise is a retard and needs to be put to sleep so they cannot reproduce, infecting this earth with their retarded genes

this must be a troll post it is so herp derp.

First statement: HOW DOES CALCULUS WORK? By taking an infinitesimally small change (ergo. .0.......1).

edit: By your logic, op is actually only 99.9...% correct, and therefore, kinda wrong?

Muckle_Ewe
04-26-2011, 01:07 AM
again, wouldn't use this as a proof for the same reasons I stated earlier, but I agree.

Why not? Which part do you disagree with?

How about the infinite series proof? 0.9 + 0.09 + 0.009 + ...
= 0.9/0.9 = 1

ANGRYGOAT
04-26-2011, 01:11 AM
i think people who are saying .999...=1 are just trolling, if this was true calculus would be alot simpler, also it wouldn't work.

Chris_1990
04-26-2011, 01:13 AM
this must be a troll post it is so herp derp.

First statement: HOW DOES CALCULUS WORK? By taking an infinitesimally small change (ergo. .0.......1).

You can not put a number after an infinite. Period.

Also for all of you retards http://en.wikipedia.org/wiki/0.999...

"the symbols 0.999... and 1 represent the same number"

And you have numeral proofs of it. Stop thinking you're smarter than all of the matematicians.

/thread

Brad155
04-26-2011, 01:14 AM
Why not? Which part do you disagree with?

How about the infinite series proof? 0.9 + 0.09 + 0.009 + ...
= 0.9/0.9 = 1

Yes, an infinite series proof is correct. I don't agree with standard arithmetic on infinites, it doesn't work, and that is provable.

I wrote this up when misc got pretty heated last time over this subject, used microsoft word:

http://i52.tinypic.com/9uu3oj.jpg

BBmisc420196
04-26-2011, 01:16 AM
somehow you can't understand what i'm trying to say .9.. goes on forever never is one

I understand you completely, you just dont seem to understand me. .9 repeating IS 1. So to say it is never one is incorrect.

this must be a troll post it is so herp derp.

First statement: HOW DOES CALCULUS WORK? By taking an infinitesimally small change (ergo. .0.......1).

After you have defined a value as infinite you cannot put a number after it, period. That isnt an infinitesimally small change it isn't even a real number.

LOL @ you saying my post is herp derp when you do not even know that simple concept. They taught you that in middle school. You look like a HUGE douche when you come across all cocky, yet dont even know simple math concepts.

Schweric
04-26-2011, 01:18 AM
288

maxwellbauer
04-26-2011, 01:22 AM
You can not put a number after an infinite. Period.

Also for all of you retards http://en.wikipedia.org/wiki/0.999...

"the symbols 0.999... and 1 represent the same number"

And you have numeral proofs of it. Stop thinking you're smarter than all of the matematicians.

/thread

what is a non-zero infinitesimal then?


I understand you completely, you just dont seem to understand me. .9 repeating IS 1. So to say it is never one is incorrect.


After you have defined a value as infinite you cannot put a number after it, period. That isnt an infinitesimally small change it isn't even a real number.

LOL @ you saying my post is herp derp when you do not even know that simple concept. They taught you that in middle school. You look like a HUGE douche when you come across all cocky, yet dont even know simple math concepts.

edit: It is just frustrating when you try and say that everyone that disagrees should just die, when weird **** happens about infinite/zero. (Zeno's paradox with turtle and achilles; should everyone die that thinks the turtle given a headstart will be caught by achilles if he goes faster than the turtle?)

ANGRYGOAT
04-26-2011, 01:24 AM
0.9........ doesnt turn into 1, it is 1.

0.3.... = 1/3
0.6.... = 2/3
0.9.... = 3/3

Didnt you learn this in school like most people???

while we're adding repeating decimals, whats inf+inf?

glassboddle
04-26-2011, 01:26 AM
hmm that's weird, I guess your right but it's sort of a paradox.

0.999 grams of protein =/= 1 gram of protein. Not the same amount of molecules/protons/quarks.

it's recurring you dumb ****.

BBmisc420196
04-26-2011, 01:26 AM
while we're adding repeating decimals, whats inf+inf?

Where did I add repeating numbers????

and to answer your question, you never presented any defined values, so there is nothing to add.

What is Fraction plus fraction? U srs brah?

IceMan210
04-26-2011, 01:27 AM
welcome to 9th grade

maxwellbauer
04-26-2011, 01:28 AM
Where did I add repeating numbers????

and to answer your question, you never presented any defined values, so there is nothing to add.

What is Fraction plus fraction? U srs brah?

On the left side, you add .3... and .6... otherwise your proof does not hold true? lol

iwheylots
04-26-2011, 01:28 AM
hahaha. moran.

it's moron, you moron.

BBmisc420196
04-26-2011, 01:29 AM
On the left side, you add .3... and .6... otherwise your proof does not hold true? lol

I never added anything. I stated 3 different facts

Ok fact 1
0.3...= 1/3

Fact 2
0.6...=2/3

Fact 3
0.9....=3/3

maxwellbauer
04-26-2011, 01:32 AM
I never added anything. I stated 3 different facts

Ok fact 1
0.3...= 1/3

Fact 2
0.6...=2/3

Fact 3
0.9....=3/3

How do you come to the arrival of fact 3?

ANGRYGOAT
04-26-2011, 01:32 AM
I never added anything. I stated 3 different facts

Ok fact 1
0.3...= 1/3

Fact 2
0.6...=2/3

Fact 3
0.9....=3/3

then without assuming you added .3.. and .6... 3/3 is simply 1 not .9...

Brad155
04-26-2011, 01:34 AM
Where did I add repeating numbers????

and to answer your question, you never presented any defined values, so there is nothing to add.

What is Fraction plus fraction? U srs brah?

.333.. can be represented by a fraction, it is not one though. Sort of like inf/inf, it is indeterminate in that form, but it can sometimes be changed into another form where an answer can be determined. This is why i don't like these proofs, infinity does not work logically.

How are you sure that .333... + .333... = .666.... add up each digit in that decimal until you reach the end, I'll ask later and you will respond "I'm not done adding yet." This will go on for, well, an infinite amount of time. Infinity does not follow our laws of arithmetic.

BBmisc420196
04-26-2011, 01:35 AM
How do you come to the arrival of fact 3?

By paying attention in Math

U mad?

Go talk to a calculus teacher

here is the Wiki on it lol
http://en.wikipedia.org/wiki/0.999...

Brad155
04-26-2011, 01:36 AM
I never added anything. I stated 3 different facts

Ok fact 1
0.3...= 1/3

Fact 2
0.6...=2/3

Fact 3
0.9....=3/3

Well then this is a very weak proof, if you are only assuming it to be true by following a pattern formed by two numbers. Two data points always form a line brah, doesn't mean the next one will follow suit.

Again, I agree .999...=1, but I don't like a lot of the "proofs" thrown around.

inb4tc
04-26-2011, 01:37 AM
Oh lawd not this s*** again. The difference between this and the 2/288 s*** is that, at least with that one, it was all about how the problem was read. With this one, if you don't think .9 repeating is equal to 1, you simply don't know math.

Using basic math logic: if a = b, a * c = b * c

and knowing that

1/3 = .3..

let's see

1/3 * 3 = 3/3

.3.. * 3 = .9..

therefore

.9.. = 3/3

It's not that hard.

Muckle_Ewe
04-26-2011, 01:37 AM
.333.. can be represented by a fraction, it is not one though. Sort of like inf/inf, it is indeterminate in that form, but it can sometimes be changed into another form where an answer can be determined. This is why i don't like these proofs, infinity does not work logically.

How are you sure that .333... + .333... = .666.... add up each digit in that fraction until you reach the end, I'll ask later and you will respond "I'm not done adding yet." This will go on for, well, an infinite amount of time. Infinity does not follow our laws of arithmetic.

Infinite series will show it...

Ed_Norton_fan
04-26-2011, 01:37 AM
lol'd at irrational number = rational number

ANGRYGOAT
04-26-2011, 01:38 AM
.333.. can be represented by a fraction, it is not one though. Sort of like inf/inf, it is indeterminate in that form, but it can sometimes be changed into another form where an answer can be determined. This is why i don't like these proofs, infinity does not work logically.

How are you sure that .333... + .333... = .666.... add up each digit in that fraction until you reach the end, I'll ask later and you will respond "I'm not done adding yet." This will go on for, well, an infinite amount of time. Infinity does not follow our laws of arithmetic.

this, .999.. can equal 1 if you need too but it isn't definite

BBmisc420196
04-26-2011, 01:38 AM
Well then this is a very weak proof, if you are only assuming it to be true by following a pattern formed by two numbers. Two data points always form a line brah, doesn't mean the next one will follow suit.

Again, I agree .999...=1, but I don't like a lot of the "proofs" thrown around.

It isnt proof at all. I am just stating what I learned in school. Unless my calculus teacher lied to me

Brad155
04-26-2011, 01:39 AM
Infinite series will show it...

Yes, I know. Look above a few posts, I wrote a damn proof for it like a year ago on microsoft word just for the misc. I know .999=1, but for a different reason than a lot of people tend to.

Jamin2112
04-26-2011, 01:39 AM
OP is correct. It's essentially the same thing as lim n-->∞ (1 / n) = 0

Brad155
04-26-2011, 01:41 AM
It isnt proof at all. I am just stating what I learned in school. Unless my calculus teacher lied to me

He did not, but the reasoning you were using was a little flawed in my opinion. You're teacher was definitely not lying, lulz. .99... does equal 1, it's very simple calculus. But, a lot of people here just don't understand the concept of infinity and why it cannot be treated as a real number. When putting it under the constraints of arithmetic, you are doing just that.

JoeKickAsre
04-26-2011, 01:47 AM
0.999999 = 1. Why?? Fukin near enough is good enough.

Poast moar porn

rbforme
04-26-2011, 01:47 AM
This is the devil's arithmetic!

marcFE
04-26-2011, 02:00 AM
1) Take decimal series expansion of .9999999...
2) Find geometric factor
3) prove by demonstrating geometric series convergence
4) post on world of warcraft forums for 100000 pages of flaming



In all seriousness, I have asked 2 PhD profs out of boredom over the last few years and both used the exact same geometric series proof.



For any person who believes it does not equal 1 then I ask you this: define a real number x in the interval .9999... < x < 1 in order to contradict the proofs given. .999999... = 1 for simplicity sake more than anything else and primarily applies to the most accepted number systems we use. Unless we have some e-PhD's in the misc who use extremely advanced counting principals like hyperreals there is absolutely no reason to debate otherwise.

Fishies
04-26-2011, 02:03 AM
0.99999999999999999 != 0.999... (recurring)

0.999... = 0.999... = 1



x = 0.999...
10x = 9.999...
(BOLD!1!!!1!!!1!)10x-x = 9.999... - 0.999...(BOLD!!!!111!1)
9x = 9
x = 1

You can´t really do that bold part can you seņor curator. Pleas step over here.

Ah wait nevermind, think you can now.

kyokushin1
10-04-2011, 03:20 PM
in on cracked thread

JustBleed
10-04-2011, 03:21 PM
ok.

Biekse
10-04-2011, 03:22 PM
http://s3.amazonaws.com/kym-assets/photos/images/newsfeed/000/155/594/yesitis2.gif?1311943181

tgu
10-04-2011, 03:22 PM
so .99999+.99999= 2?










cooooooooooooooooooooooooooooooooooooooooooooooooo ooooooooooooooooooooooooooooooooool.

Wiley87
10-04-2011, 03:24 PM
If you think otherwise you are a moran

If you think otherwise you are a moran

If you think otherwise you are a moran

No to A, yo to O.

cncman
10-04-2011, 03:35 PM
so .99999+.99999= 2?










cooooooooooooooooooooooooooooooooooooooooooooooooo ooooooooooooooooooooooooooooooooool.you have .9 to 5 decimal places. As .9 approaches infinity number of 9's, the number converges to 1.
.9...+.9... does in fact = 2 because the number is so incredibly arbitrarily close to 1

Edit: if an algorithm were built to further prove that taking an infinite sum of .9999.....will yield 1+1+1+1+1.....because the number of times .999..... is repeated will approach infinity while the number of 9's also does.

Dysfunqtional
10-04-2011, 03:37 PM
love these threads, always a bunch of dumb fuks trying to act smart by talking about math and using technical terms their teachers/professors use..

bananabucket
10-04-2011, 03:39 PM
think about cutting something in half an infinite amount of times (without getting into subatomic ****)

it will never completely disappear, it can always get smaller

.999..... does not = 1 morans

caonima
10-04-2011, 03:41 PM
0.000...1 = phaggot

OP, you're that 0.000...1 that makes 0.99999...=1

cncman
10-04-2011, 03:43 PM
think about cutting something in half an infinite amount of times (without getting into subatomic ****)

it will never completely disappear, it can always get smaller

.999..... does not = 1 moransirrelevant

Muffinbeast
10-04-2011, 03:47 PM
I really don't care .. it isn't true. 0.9999 does not equal 1 it is always a tiny tiny number off no matter how infinitely small you shrink it. I defy all your maths.

bananabucket
10-04-2011, 03:48 PM
irrelevant

sorry ur 2 dum 2 make the conection

VariantInterval
10-04-2011, 03:53 PM
lol. these threads would be awesome if they sparked debate between people who know what they're talking about, but it's always....

people who actually know what they're talking about vs. people who don't know sh*t.

gluon
10-04-2011, 04:14 PM
now i don't really know much about calculus.

but i don't think it is even possible to ever come across .999 repeating in any formula or function, without using repeating decimals in the first place

if so, then it does not matter if .999 repeating = 1 because .999 repeating would be a pure abstraction.

BigBeard86
10-04-2011, 04:16 PM
infinite summation. the sum of an infinite string of intergers approach a finite number.

Sainoob
10-04-2011, 04:21 PM
wtf misc.

For 2 numbers to be different there must be a number in between them. There is NO number between 0.999... (repeating) and 1.

that's the proof I always use.

enix1840
10-04-2011, 04:26 PM
Misc is stating that Rational Number (1) equals Irrational Number (0.9...)?
Good job there champs, high school, high school everywhere.

You can say that 1~0.9... but it never reaches 1.

TheCurator
10-04-2011, 05:51 PM
In on cracked thread

SomeRandomName
10-04-2011, 05:56 PM
In on cracked threadthis

hawkrock60
10-04-2011, 10:05 PM
this thread made it to cracked.com,

http://www.cracked.com/blog/6-innocent-sounding-topics-that-are-guaranteed-flame-wars/

youmyboydrips
10-04-2011, 10:07 PM
the limit of 0.999999 = 1

Ventura41
10-04-2011, 11:40 PM
lol @ cracked


But okay, I'll admit those are bodybuilding forums. Maybe the roid rage makes them get upset over everything, even math.


Read more: 6 Innocent-Sounding Topics That Are Guaranteed Flame Wars | Cracked.com http://www.cracked.com/blog/6-innocent-sounding-topics-that-are-guaranteed-flame-wars/#ixzz1ZsoItdZ9