sorry cant answer that

cant tell you that

are u a rapper?

cant tell you that

next question

cant u tell about the next question?

ONLY 1=1 ;)

basically yes, it has proof, it is so infinitely close it is basically the same

its not basically the same, its the same

figure of speech, i said the same thing :)

no you didnt

yeno

YES

no

yes

Smart =/= math

Dumb people won't be able to answer this question. If one can answer this question, he is considered smart imo. There is smart people who can't answer this question, sure, but I only want smart people in this thread because dumb people can't answer this question anyway.

Still math doesn't require being smart.

That's why I said:
If one can answer this question, he is considered smart imo.
imo = in my opinion :)

OK. :)

Thanks for actually understanding my point and not starting to insult me.
Rare conversation on this site, thanks man :)

lmfao ar eu germoiaps miaposd hhpuiyiuowre kas

It depends on the level of math.

3/3=1 right? Then (1/3)*3=1 but 1/3=0.3333 and 0.3333*3=0.99999 so 0.9999=1

Best answer yet.

Thank you sir

+1
this has always been my reasoning

+1 tought about this

1/3 = 0.333333333333333333
1/3*3 = 0.99999999999999999999
nt mario

And what did i say?

How does it even results in 1?

1/3 = 0.(3) , not 0.33333333333333333333

blyautiful answer brou

Well you're just reformatting the question to "does 0.333333... = 1/3" from "does 0.999999.... = 1"

Ain’t 1/3=0.3333333?

no, its not

syria education lol

does 0.333(cont) + 0.333(cont) + 0.333(cont) = 1? No? Then 1/3 isnt 0.333(cont)
btw
>fakeflaggot
yes im def from syria lul

try using ur calculator sometimes xd

jsut did
0.3333 * 3 = 1
0.3333 * 2 + 0.333 = 0.9999

thank you for confirming my teory, 0.3333*3=1 this is na equation so if i divide both member for 3 i get 0.33333=1/3. easy math bro

yes

Always hate 0,999
1 is Cool

Lim x approaches 1.
So 0.9999999 approaches 1 but never 1

exactly

+1

As #8 said yes, cause 3/3 = 1 but 1/3 is .3333... * 3 is .9999..., also works for multiples, such as 9/9 = 1, but 1/9 is .1111... * 9 is .9999...

0.99999... is 0.99999... 1 is 1 you cant say 1=0.9999... u can aproximate that number to 1

+1 how the fuck can someone not realize this xd, people are thinking it's a trick question except it isn't

read #8, if you understand that you might aswell understand #27
#8 is the easy justification, #27 is the mathmatical proper justification

No it simply isn't, if you ACTUALLY read the question word by word, you'll understand that it's impossible to say that 0.99999 and 1 are the same thing, mathematics only approximate numbers to make calculations MUCH easier (otherwise they wouldn't be possible), but you CANNOT say that they are the same.

I guess you didn't understand #27 then. Sorry for you.

You're the one who apparently didn't study logic, this is basic logics, you can't possibly say that they're the exact same, if they were you would represent them as the same and there would only be exact numbers in the world

Try to understand the concept of geometric sequences.
Mathmaticians are the kind of people who think the most logically out of anyone (except IT dudes maybe). Geometric sequences proof that 0.9999999999 = 1 and it is accepted by any mathmatician. I won't reply any further, this has nothing to do with ignorance or so, there is just no denial in geometric sequences. I hope you will get the hang of it. Have a nice day :)

geometric sequences are supposed to make calculations easier while also being accurate aswell, this has nothing to do with geometric sequences, you just can't think outside the box, just because you think what you said is correct, that does not mean it is and there are several ways to look at something. What I said is correct based on logics while what you said is correct based on geometry, but at the end of the day you still can't say they're the same exact thing based on a real scenario, how don't you understand that calculus was invented to MAKE THINGS SIMPLER and that's why there's approximates in the first place.
Have a good day.

true, he was asking only about the numbers and not how we use it

2+2 is 4

Minus 0.99999999999 that is 3.1111111111 Quick Maths
/closed

3.00000000000000000....0001

False plus True is False
Minus False that is True Quick maths!

0,(9) = 0,9 + 0,09 + 0,009 + ... (geometric sequence, a1=0,9, q=0,1)
Infinite Sum : a_i=a/(1-q)
0,(9) = 0,9/(1 - 0,1) = 0,9/0,9 =1

Congrats, you delivered the right answer with indepth justification!
You win a cookie or smth, idk :)

call me mathematician

Just out of curiosity: Do you have any degree in mathmatics? Or are you studying mathmatics?

I'm studying IT. Studying mathematics is unprofitable.

+1 me too :)

I mean if you do high school maths you learn this. As long as you didnt drop out or maybe if you didnt pick up maths

I am in my first year at a German university and I just learned about advanced geometric sequences. The school I visited prior to that is known for being difficult, compared to other schools in my area. I guess we just did other stuff, but we did not do geometric sequences in a way that we were able to proof 0.99999999 = 1.

really? its pretty straightforward, just using limiting sum

x = 0.(9)
10x = 9.(9)
10x -x = 9.(9) - 0.(9) (=) 9x = 9 (=) x = 1
There are lots of ways to prove it xD

Yeah, but the answer he delivered is the common way this equation is taught at universities and is approved by mathmaticians because of its' indepth justification.

This equation is taught at universities ? I'm sure most kids with 12 years old can prove that 0.9 repeating is 1 easily.
And most kids with 16 years in maths area know what geometric and aritmetic successions are and know their respective formulas.
Didn't think something so simple was taught in University, it burnt my eyes

This equation is NOT taught at universities. However, geometric successions/sequences are taught at universities and geometric sequences proof that 0.9999999 = 1 the best. As you said, there a lots of ways to prove it, but this is the "most correct and indepth one."

I learnt about geometric and aritmetic sequences in 11th grade, last year, and all the formulas as well. And I'm from Portugal, and our education sucks ass.

Lucky for you, maybe study mathmatics with your knowledge? :) Should be easy for you since you started with that stuff so early on.

I won the mathematics olympics in my school and will move on to represent it in the district, maybe later in the country as well.
I love maths more than anything, even tho i don't spend a lot of time on it. But I'll probably focus more on Physics as it has a wide variety of jobs. I hope one day i'll get in NASA, if Trump lets me :|

Sounds good! Always chase your dreams and never give up! I bet you can do it if you just try hard enough :)

Thanks my German mate.
Next year will move to England, maybe to the University Of Northampton, still don't know what the hell I'm going to do (course).
It's nice to have such incredible people like yourself and wish you all the best for the future as well! You're amazing.

nice story of yours. is it a pity u have to go away from portugal to study?

1+1=3 if you don't use a condom

lol

ok

quick maths

I was don't know this details

let x = 0.99999...
10x = 9.99999...
10x - x = 9.99999... - 0.99999... = 9
9x = 9
x = 1
QED

+1 I was going to write that

nt macaco burro

cala a boca... tu não tem nem ensino médio completo.
Translation: shut up... you don't completed the high school yet

10x = 9,(9)
x = 9,(9)/10
x = 0,999999999999999999
0,9 = 10% of 9, therefore 0.9 =/= 9 (it isn't even multiplied by 10)
nt tho

lol that "proof" shows nothing
prove it or i will kill you

I corrected you, you got refutated and you haave no nothing to do.
Exposed.
Rekted.
/closed

2+2 is 4 - 1 is 3 quick maths

Yes

0.9(9) = 0.9(9)
1 = 1
quick maths

Here you go, I won't justify it, I only send a video:
youtube.com/watch?v=G_gUE74YVos

Numberphile <3

Depends on your reference. If you are looking at a graph and it has an asymptote and it goes to 0.999... then the asymptote is at 1. If you are talking about things that can be specific numbers, like population or photons and such then no. You have to round down at that point.

no

0.999999... = 0.999999...
1 = 1
Explaining by the 1/3 rule doesn't tell you 0.9999... = 1, it only shows you that the decimal math system is flawed.
On the Base 12 system (known as duodecimal), with the reversed "2" (or X) as "10" and E as "11" (with 10 being 12, 11 being 13 and so on) the result of 1/3 would be 0,4 since 10 = 12. With this system there isn't such a thing as recurring decimals.
You're welcome

No, it's not.
I wrote down my idea of the proof, but hltv keeps saying 'error' for whatever reason and refuses to post my message.
Edit:
1) Consider a single-variable function f(x) with a discontinuity at x=1. Then, from the 'left', i.e. 0.999, the function has a different value compared to it approaching from the 'right', i.e. 1.001.
2) Let's assume there's a proof that 1 = 0.999; then, using the same proof, one can state that 1 = 1.001.
3) If 1 = 0.999 then f(1) = f(0.999) OR 1 = 1.001 then f(1) = f(1.001).
4) This yields f(0.999) = f(1.001) which contradicts to (1). Then, (2) reformulates itself: there does not exist a proof of 1 = 0.999.
Equivalently, 1 != 0.999.

Take a photo of it, send in the link :)

Wait I'm fighting hltv ;) I'll inform you, there are also steps 3 and 4 left ;)

And when I say 0.999 or 1.001 I actually mean 0.99[..]9 or 1.00[..]1 of course.

Take f(x) = 0 for any x except x=1.
It's a single-variable function with a discontinuity at x=1 and 'left' value = 'right' value.
So your (1) is not correct.

349683464356567645 = 3500000000000000000??
No 349683464356567645 is 349683464356567645
...

Is not 1. it is 0.9.
Like 33,3 + 33,3 + 33,3 =99,9 not 100. But the best way to write is it 1/3 because it is the exact value. In the case it is =1/3 instead of 33,3

*0,3
but it's still not it.
1/3 = 0,(3), not 0,3.
thats why 1/3+1/3+1/3=1=0,(3)+0,(3)+0,(3)=0,(9)

ofc yes, people have problem with this question only because its hard to imagine infinity

Well its like saying for colors - very dark yellow = orange, you can make it the same if you want, but it isnt the same.

0.9 isn't equal to 1, but if 0.9... goes on for infinity it is essentially equal to 1

lmao at people saying 0.9999 recurrent isn't 1. it is exactly 1. Not approximately, not "close to 1". It's exactly 1.
simplest proof:
let 0.999 recurrent = x / *10
9.9(999) = 10x / -1x
9 = 9x
x=1
edit: if you dont believe me watch the video
youtube.com/watch?v=G_gUE74YVos

2+2 is 4 - 1 = 3 thats quick maths

ofc,
x=0,(9)
10x=9,(9)
10x=9+x
-x+10x=9
9x=9 /:9
x=1
i thought it's clear to anyone.

I ask my professor today in school. So his answer was 0,99 isn't 1. Why should I listing to one youtube video about one unknown person. Of course 0,99 = 0,99 ??
If you have 0,999-1= it isn't 0? But -0,001.

clearly 0,99 isn't 1. but 0,(9) is.
also, it's not 0,999-1. it's 1-0,(9), which equals 0, or 0,(0).

in practice yes,in theory no
math has nothing to do with someone being smart or stupid.

in theory yes. there are multiple different ways of showing this is true, there's the definition of a geometric series, an argument using the nested interval property, etc. it is a fact.

+1

you said 0.9999999999 so basicly 9 with a dot above right?Well how the fuck are you going to calculate something when it has unlimited ammount of 9's?

one doesn't need to "calculate" a number in order for it to exist.

in that case you wouldn't mind explaining me how exactly you're going to get to 1 right?

sure. 0.999... is equal to 9*(0.1)+9*(0.01)+9*(0.001)+... = 9*[(0.1)+(0.01)+(0.001)+... ]. the expression inside the bracket is a geometric series with common ratio 0.1 and first term 0.1, so it is equal to 0.1/(1-0.1) = 1/9. thus, 0.999... = 9*1/9 = 1.

sure it would make sense if you put up something like 0.999999 or 0.9999998 or something and not fucking 0.999999.... which means infine ammount of 9=impossible to calculate,that is a reason why i said in practice 1

yes. limit theory.
/closed

No

0.999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
= 1

No, only 1=1

real numbers are not required to have a unique decimal representation.

U can't use "=" when some thing is not exact same number as first one

good thing 0.999... and 1 ARE the exact same numbers!

They are not and u should go back to school u dumb fuck

0/8 im 20 studying math at uni.

NA education

en.wikipedia.org/wiki/0.999...
Let x = .9999999...
x * 10 = 10x
.9999999... * 10 = 9.9999999....
10x = 9.9999999....
10x - 1 = 9x
9.99999.... - .999999... = 9
9x = 9
9x/9 = 1
x = 1.
Therefore 1 = 0.9999999....
QED

Yes, 0,(9) = 1, but be careful, 1 is not 0,(9)

thanks, will be careful from now on

haha yes, you better watch out

Well you can still be "smart" for lack of a better word and not know the answer to this number-cruncher. I'm absolutely dire at mathematics and anything related to arithmetic, but excel better in science/English, etc...

x = 0.999...
10x = 9,999
10x-x= 0,999... - 0,999...
9x =9
x=1

0.999999999999999999999 = 0.999999999999999999999
But if you round it, than:
0.999999999999999999999... = 1

my brain just froze bruh

2+2=4 minus 1 thats 3 quick maths

In mathematical terms, it is not exactly the same. However, if the value is rounded off to 1 significant figure, it is 1. It is close but close does not mean that it is the same.

depends. if you're doing math for like a problem then yes, but if it's a measurement of importance then no (like length of screw, etc)

1)
1/3 = 0.3333333333333...
3*(1/3) = 3*0.333333333....
1 = 0.99999999999999999
2)
x=0.9999...
10x = 9.9999999 = 9+x
9x=x
x=1
something cool to know
x/9 = 0,xxxxxxxxxx...
example 2/9 = 0.222222.....
xy/99 = 0,xyxyxyxyxyxy...
example 69/99 = 0.696969...
xyz/999 = 0xxyzxyzxyz....
example 123/999 = 0.123123123....
etc...

Replace the equal sign (=) with this symbol: etc.usf.edu/clipart/41600/41697/fc_appro..
Then it is correct.
(by some ridiculous reason, HLTV doesn't allow us to post the 'approximately' sign)

0.999999999999999999999=0.999999999999999999999
apple = potato?

2+3=13
(mod4)

For dumb people without imaganion, yeah.
For smart people with imagination, no.

2+2 is 4 -1 that 3 quick mafs

depends on what the situation is really but most of the time 1 would be fine

ofc no,what a stupid quest., 0.99999999999999999999999999999999...
as close as possible of 1,but 0.9999999999999999999999999<1

Being lazy human, like all of us, 0,9999999999999999999999999999999 = 1 ... Is true to us, we don't care.

yes. proof: wikimedia.org/api/rest_v1/media/math/ren..

yes

yes

no