Discuss.

>>722516254
While it does not equal one exactly, there is a point when any rational thinker says "fuck it, close enough" and rounds it to 1.

prove it

when you round it, it is 1, but technically it is not 1

>>722516254
Well since you show the end of the sequence as 9999 with no ... after it, it's actually a terminating sequence and so, doesn't equal 1. I think.

>>722516254
indeed

1/3*3 = 1
But, 1/3 = 0.3333....
and 0.33333....*3=0.999999....
If 1/3*3 = 1, then 0.99999... = 1

.999 isn't 1
3/3 is 1

0,99...9=x
10x-x=9x
9,99...9-0,99...9=9
9=9x
X=1
Fuck off uneducated cuck

Zeno's paradox by any other name...

>>722516254
op is correct


>>722516588
>>722516647
you guys are idiots

>>722516478
his guy is correct

>>722516739

using maths is being idiot?
sure thing buddy

decimals do not properly represent numbers

>>722516739
Wrong.

1 is not 2. and these are dubs.

>>722516254
No, but 0.999... is

>>722516815
It's all good using maths unless your maths doesn't apply because OP hasn't posted a recurring decimal, just a very long one which eventually terminates.
p.s. I'm not person you replied to

>>722516939
In what way?

>>722517066

So how many .9999 would it take to be = 1?

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>>722516254
fuck your snowflake mentality.

>>722516939
Fuck off trump you have a country to be ruining

>>722516254
0.999... = x
99.999... = 100x
99 = 99x
1 = x

>>722516647
Only correct answer here
>>722516588
Can't assume 1/3=0.3333... to prove the same idea with 0.9999...

>>722517205
Infinitely many

>>722516364
This is how the Jews turned the death of a few into the Holocaust

>>722517248
/thread

>>722517279

So what is the difference from OP's number, there are also infinitely many.... and you said that OP was right..... like, wtf ??

>>722517205
infinite.
probably op joke is that his 0.999....999 have a finite number of 9, but math-nerds are proud that they know something and want to explain it to feel smarter. so proud that they didn't noticed the joke.

>>722517248
recurring decimals don't work like that, mate.

>>722517409
0.999...999
and
0.999...
are not the same thing. The first sequence terminates at some point, the second does not.

>>722517261
>Can't assume 1/3=0.3333... to prove the same idea with 0.9999...
It's not an assumption, though. 1/3=3/10+1/30=33/100+1/300=333/1000+1/3000 and so on.

(2/9)= .222
(3/9)= .333
...
...
(7/9) = .777
(8/8) = .888
(9/9) = 1 = .9999

>>722517409
OP's number ends with a 9, it doesn't have a '...' sequence after the last 9. This means there is a finite number of 9's

It actually isn't 1. Human math is incorrect in assuming it is 1.

It is definitely not 1 at the quantum level.

>>722516254
You all are fucking stupid. it is 1. let me prove it, faggots.

.99bar = .33bar x 3

.33bar = 1/3

1/3 x 3 = 1

Therefore, .99bar = 1

>>722517601
The fuck are you even talking about

>>722516254
RED ALERT, IT'S HAPPENING. 20+ DEAD IN BOMBING AT SUPREME COURT:
>>>/pol/112745168
>>>/pol/112745168
>>>/pol/112745168

>>722517456
>his 0.999....999

Not a joke, not at all. The last three 9's are the very last existing 9's in the whole universe, you can't get ant infiniter....... and if you can, those last 9's are the last of what you found............... So still no fucking difference.

>>722516588
1/3 is not 0.333333
its some number that can't be written in decimal form that is between 0.333333 and 0.333334

>>722516254
1 would be 1.

And 0.99999999999 etc would just be very close to 1.

Case closed.

>>722517638
Your species will learn eventually

>>722516254
0.99999.....9999 is NOT = 1
0.99999... is NOT = 1 either.

Discussing this is just being creative with maths, but doesn't make it less wrong. Infinite numbers don't share the same properties as finite ones. Everything else is bullshit.


/thread

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>>722516254
There's nothing to discuss you fucking retard. If you had 0.period9 it'd be equal to one. This is not, because 0.99999...9999 + 0.00000...00001 equals one.

Learn2trole and lurk moar newfag.

Holy shit this thread. When did this board get loaded with so many fucking brain dead faggots? Fuck it, I'm out

But is there a number that is even more than 9?

>>722517791
What about pi and 1/3, you mindless otter

>>722517774

My dick is 1 inch long and yours dick is 0.999...9 inch long
I've longer dick.

>>722516254
You're assuming that the number is finite (0.999....999), which means that 0.999...999 does NOT equal 1 since you can always find another real number between 0.999...999 and 1 ,e.g. (0.999....999+1)/2

0.999.... with an infinte number of nines is debatable. You cannot fit a single real number, not even an infenitesimal between 0.999... and 1 which implies that they are equal. Technically there is no difference between the two numbers even though it appears that they are.

"Proof":

0.999...= 9*(1/10)+9*(1/10)^2+9*(1/10)^3+...=
using the properties of the geometric series:
= 9*(1/10)*1/(1-(1/10))=
=9*1/(10-10/10)=
=9* 1/9=
=1

>>722517919
what about them, retard?

>>722517501
They do mate

>>722517660
>Not a joke
>The last three 9's are the very last existing 9's in the whole universe, you can't get ant infiniter
this is not math, sry.
(you should really act like you were joking to not look like a retard, but do what you want idc)

>>722516478
you are correct. there is a way to prove 0.9999.... is in fact equal to 1 but not 0.99999....9999 because the sequence is finite.

>>722516254
You're right.
But 0.99999(9) is equal to 1

all of these 0.3333 * 3 = 0.9999 are all bs

this is just a side effect of our number system

if we use a number system that is in base 12 something like this:
0 1 2 3 4 5 6 7 8 9 a b
where 10 equals 'twelve' and doesn't equal 'ten'
then 1/3 = 0.4 2/3 = 0.8 3/3 = 1

1/3 doesn't equal 0.3333 its some number that is between 0.3333 and 0.3334 that can't be represented in base 10

Fuck, why is it so hard for you humans to understand the concept on infinity? People build theories and a bunch of crap study this matter, as it is something else than a simple idea taken out of proportion.

There is no practical use for uncountable infinity. Reduced infinity, however, as a concept is used a lot, but you won't see someone doing arithmetical operations to it. The limits of the concept is what is studied.

0.999... =/= 1
It's just 0.999...
is that so hard to understand?

You can prove 1=2 if you want to use syntax wrong.

>>722518604
>1/3 doesn't equal 0.3333 its some number that is between 0.3333 and 0.3334 that can't be represented in base 10
It can, that's literally what the ellipsis at the end is for.

>>722516254
Glad you figured that one out OP

>>722518635
>is that so hard to understand?
No, it's merely wrong. 1-0.999...=0, therefore 1=0.999...

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Case closed. Now fuck off faggots.

>>722517501
yes they do.
faggot.

>>722518841
wtf, how can 1-0.999... be 0?

The only correct thing is that infinity can't be used.
It's just like dividing by 0

>>722519288
>wtf, how can 1-0.999... be 0?
If not zero, then what IS the result?

>The only correct thing is that infinity can't be used.
No, that's not correct at all. We DO have methods for dealing with numbers such as these, it's only idiots who get confused.

>>722516478
This

1/3 = 0.333333333333333333333
3 * 1/3 = 1 = 3 * 0.33333333.. = 0.9999999...
so
1 = 0.99999999999999999................

>>722516364
no you stupid cunt everything what repeats like 0.543543(543) is 543/999

>>722519434
We have methods to apply limits to the concept of infinity, and the operations are based around those limits. Not just plain recurring numbers like in this context.

>If not zero, then what IS the result?
Why should there BE a result? The operation is just incorrect on it's own.

If 1/0 is not 0, then what IS the result?

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

and you fucking autistic idiot virgins still dare to lie about having 200iq

>>722519736
>We have methods to apply limits to the concept of infinity, and the operations are based around those limits. Not just plain recurring numbers like in this context.
Recurring numbers are just artefacts of the number system. There isn't anything special about them.

>Why should there BE a result? The operation is just incorrect on it's own.
No it isn't. There isn't anything incorrect about subtracting a real number from another real number. Shit, even if it WAS infinite, subtracting an infinite number from a real number is still a valid operation. 1-infinity=-infinity.

>>722516254

Close enough.

1/3 = .33333
2/3 = .66666
3/3 = .99999

>>722516478
you cant put anything after infinity

>>722520281
>an infinite number of 9 has and end

>>722516254
It depends. If you're working with infinite decimal numbers, it's not. However if you'd work with integer numbers, 0.999~ would round down. Meaning that it would be 0.

However in regular math it could (if it needs to) be rounded up since usually the rounding of numbers goes up if it's .5 or higher in decimal value.

>>722516254
x=.9999...;

10x=9.9999...
10x-x=9x=9
9x/9 = 9/9 = 1

also, consider this;

x=.9999....
1-x=.0000....and what?is there a theoretical 1 at the end of all the 0s? there can't be, the 0s are unending. in other words, their cardinality = א null. you'd need to represent the position of the final 1 as an ordinal larger than that, Ω. but you can't add these types of numbers -- numbers belonging to א and numbers belonging to Ω. they exist outside of each other. they are different sets.

thus 1-x=.0000000000000... forever, and if the difference between two somethings is indistinguishable from 0, then those somethings must be the same value.

>>722516254
Mathematician here.
0.9(p) = 1

There is nothing to discuss in this retarded board. Just look up any analysis book you want.

>>722519980
The fact that there is a number infinitely repeating is what makes it different, because inifity is not rational.

>>722516254
1/3 = .33333
2/3 = .66666
3/3 = .99999 or 1

this is actual mathematical fact, you literally can not deny it

>>722519736
>The operation is just incorrect on it's own.
good lord when you have no idea about math and how decimal fractions are actually defined, just shut the fuck up

>>722516254
try to put another number between .99999.... and 1 i dare you

>>722521330
3/3 is not .99999

>>722516254
0.99999.....99999 != 1

limit n -> infinity Sum n=1-> infinity 9/10^n =1 != 0.9999....99999

>>722521514
but you've conceded that your number has finitely many 9s. .999...999=/=.999...

>>722521277
>The fact that there is a number infinitely repeating is what makes it different, because inifity is not rational.
Nope. Being recursive means that it is a rational number. Not infinity, despite being infinitely long in some notation. 1/3 is a perfectly normal rational number, and yet in decimal system it is ALSO an infinitely long, recursive number. The two are not exclusive in any way or form.

>>722521495
follow the pastern.

if 1/3 is .33333 then 2/3 is .33333+.33333 which equals 6. so following that

3/3+ .33333 + .33333 + .33333 = .99999 + 1

prove me wrong

>>722521733

>pastern
>.33333+.33333 which equals 6
>3/3+ .33333 + .33333 + .33333 = .99999 + 1

literally what

>>722521625
infinity is an idea, not a number. .999... has infinitely many zeros; its cardinality belongs to the set of real numbers, but the cardinality of the number of zeros does not. same with 1/3 and 2/3, actually. you can add numbers of the same cardinality, so something like 1+1/3 works out just fine. however, you can't make meaningful statements about the length of the trail of zeros using numbers with cardinality less than א null.

>>722521733
.3333 + .3333 is not 6 it's .6666
autism

>>722516647
You are fucking retarded if you don't see the mistake in your "educated" calculation.

>>722521864
Irrelevant.

>>722516254
Well, 1+2+3+4+5+... to infinity is -1/12, so anything is possible

>>722522318
it's completely relevant. you've made the argument that .999... is somehow equivalent to an infinity, but it's not. what's infinite about it is the number of trailing 0s, which hold no bearing on the number's value

>>722521493

.99999.... + 0.00...9

here you go

>>722522550
Wat? That's the OPPOSITE of the argument I've made, idiot.

>>722521934
I accidentally printed just 6 there which is an honest mistake, not autism. but because you just ignored everything else let me lay this out for you.

1*3=3
2*3=6
3*3=9

If you cant agree on that then you are just denying basic principals of math. lets continue

1*33=33
2*33=66
3*33=99

1*0.3=0.3
2*0.3=0.6
3*0.3=0.9

1*0.33=0.33
2*0.33=0.66
3*0.33=0.99

if you add an infinite amount of digits you will fiind that 3*0.33333 does equal .99999. even though we know that 0.33333=1/3 and 3/3 equals 1

>>722522611
you can put that nine at the end of infinity because that does not exsist

0.99999.....9999 is not 1, but 0.999... is 1.

0.99999.....9999 has an end, 0.999... does not.

>>722516254
True, only because OP is a giant faggot and is not using correct notation. 0.99...9 just means the nines continue for an unspecified amount, then end with a 9. If it was 0.999..., then it would be exactly equal to 1:

0.999... is the result of mathematical operations (e.g. resolving fractions, or division, since they are the same thing). There are fractions that do not have decimal equivalents, such as 1/3, which are represented as "0.333..." when displayed in a decimal form.

Everyone knows and accepts that 1/3 * 3 = 1. But for some reason, people don't make the connection that 0.333... * 3 = 1, and NOT 0.999....:
>1/3 = 0.333..., then 0.333... * 3 = 1.

Try another:
>1/9 = 0.111..., 0.111... * 9 = 1.

The ellipsis is simply a mathematical tool for showing a decimal that does not end, which is ALWAYS a decimal equivalent to a much simpler fraction.

0.333... ALWAYS means EXACTLY 1/3. Therefore 0.999... ALWAYS means EXACTLY 1.


Alternatively:
>0.999999...
>equivalent to: 9/10 + 9/100 + 9/1000 + 9/10000 + ...
>equivalent to: 9/10 + (9/10)(1/10) + (9/10)(1/10)^2 + ... + (9/10)(1/10)^n as the integer n goes forever
>can be represented by the series summation( (9/10)(1/10)^n) with n going from 0 to infinity, meaning: (9/10)(1/10)^0 + (9/10)(1/10)^1 + ...
>the sum of this series is the first value in the series divided by 1 minus the multiplier ratio.
>(9/10)/(1-1/10) = (9/10)/(9/10) = 1

Someone should thread this, and we can be on our way.

>>722517518
>1/3=3/10+1/30=33/100+1/300=333/1000+1/3000 and so on
did you know you're a retard?

https://www.youtube.com/watch?v=G_gUE74YVos

brainlets

>>722522985
Did you know you're incapable of basic arithmetic?

>>722522985
i mean, he's not wrong, lol. 3blue1brown makes the exact same argument in a derivation of the idea of a power series.

>>722516379
Here I made quick equation:

0.99999.....9999 =/= 1

>>722516254
Easy. When you sau 0.999999... it means that it's a zero followed by an infitine amount of 9.
It's not a decimal number, because a decimal number is a number which can be written with a finite amount of numbers. It's not the case here.
So 0.999... is not a decimal number. 1 is a decimal number. 1 can't be equal to 0.999...
False proofs using thinks like 0.3333...*3=0.999... or 9.999-0.9999=9 are false, because you can't substract non-decimal numbers in that way. You have to write it as fractions (if you can, it's not always rational) then do your maths.

>>722517502
Would a 0.1111.. also apply then?

>>722523192
"decimal" only means base 10, it has nothing to do with how easily one can or can't write a number out. π is a decimal number, yet is not only irrational, but even goes so far as to be transcendental.

you can subtract non-decimal numbers, as it were, but you have the wrong idea of what such a subtraction entails. you'd just have to convert one of the numbers out of decimal (say, decimal to octal, for instance.)

>>722516588
uh what about .333333334?

x = 0.99999...
10x = 9.9999...
10x - x = 9x = 9
9x/9 = x = 1
.99999... = 1

The reason why we can say 10x = 9.9999... is because there is no last 9, there is no end because the sequence is infinite. Even if we multiply by 10^Graham's_Number, we will still have an infinite amount of 9s.

OPs sequence presumably ends though since he has a 9 at the end of it instead.

>>722523600
That's calculator rounding.

Its not equal to 1 u fuckig retards there always the smallest space cause its .999 not 1. If u think othewise ur uneucated

>>722516254
0.99999.....9999 does not equal 1

0.99_ (repeating) does equal 1

>>722516254
test

>>722516254
it is 1 though

>>722523674
im saying its in between .333333 &.333334

>>722523482
In France, a "nombre décimal" is a number which can be written such as 8, 8.9 or 77.555548565
It is a "finished" number.
Yes, you can't say 9.999... - 9 = 0.999...

>>722523993
We're not speaking french, but that's irrelevant anyway. 9 and 9.999... are both real numbers, so you can perform any operation with them you could with any other pair of real numbers.

>>722523956
Are you saying it's between an infinite sequence of 3s and an infinite sequence of 3s with a 4 at the "end?" Because otherwise I can't tell what the fuck you're saying.

>>722523629
>The reason why we can say 10x = 9.9999... is because there is no last 9, there is no end because the sequence is infinite.
False, you can't multiply 10 by 0.99999... and say it is it equal to 9.99999...
It's disgusting whatever non-mathematical "reason" you add to it.

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>>722516254
wtf is this sudden burst of all kinds of pseudo-intellectual baiting shit in /b/????

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>>722523167
>putting an end to an infinite set of numbers

as were all retarded in here whats 9+10?

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>>722524344
Kids who took one thing their math teacher said out of context and now think they understand the universe. Or they read the wiki summary of chaos theory while high and now they think they can solve all the world's problems.

>>722524470
well 9+10 is ofcrouse POTATO

>>722517791
>Infinite numbers don't share the same properties as finite ones.
Then prove it or fuck off retard.

>>722524130
You're right, I stop here. I know that 0.999... is the same as 1, but I thought it would be funny to try to support the other side.
Mathematics are sometimes counter-intuitive, it doesn't mean that it's wrong.

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>>722522766
Nigger, what the actual fuck are you trying to say?

>>722524230
I just explained why you can. Is your brain on backwards?

>>722522838
/thread

eh ~1

>>722524470
21

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>>722524230
>False, you can't multiply 10 by 0.99999... and say it is it equal to 9.99999...
Yes you can.

>>722522838
But for some reason, people don't make the connection that 0.333... * 3 = 1, and NOT 0.999....
those are the same things anon wtf

>>722525313
I meant:
>But for some reason, people don't make the connection that 0.333... * 3 = 1, and NOT 0.999
It was typed hastily.