Discuss.

0.99999... x 10 = 9.99999...

9.99999... - 9 = 0.99999...

>>729077224

1/3 = 0.333...
2/3 = 0.666...
3/3 = 0.999... = 1

>>729077224
Hey OP here I did some research and found out that 1+1=2 isn't that neat

>>729077224
It's either 0 or real

fun discussion

1/9 = 0.111...
2/9 = 0.222...
3/9 = 0.333...
4/9 = 0.444...
5/9 = 0.555...
6/9 = 0.666...
7/9 = 0.777...
8/9 = 0.888...
9/9 = 0.999...
9/9 = 1
Therefore 1 = 0.999...

>>729078029
3/3 = 1

>>729078294
but 9/9 doesn't equal .999... It equals 1

>>729078347

Yes. That's what I said.

3/3 = 0.999... = 1

>>729077224
numbers are not real nigger

>>729078294
>9/9 = 1
>Therefore 1 = 0.999...

9/10 and 9/9 arent the the same thing.

>>729077224
1 - 0,(9) = An infinitesimal, and if we're only talking about reals and not hyperreals the only infinitesimal is zero, so in the reals 0,(9) = 1

>>729078422
Ok well if 0.888...+0.111...=0.999... then shouldn't 1/9+8/9=0.999... ?

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>>729078029
Deeply disappointed.
Cut a bagel in thirds then put it back together. One bagel
Now take 0.0000000000000000001 of that bagel away and you now have a bagel of a slightly smaller amount, not the exact same.

n = 0.999...
n*10 = 9.999...
10n = 9.999...
-n = .999...
9n = 9
n = 1

>>729078647

So what does 9/10 have to do with this argument?

>>729078917
Not even a real function, fag

>>729078789

But we aren't talking about 0.0000000000000000001.

For 1 and 0.999... to be different numbers, you would have to have a number in between them. Since the 9 in 0.999... is infinite, the '1' at the long strand of zeros you're imagining doesn't exist because you never get there.

Now disprove my fractions mathematically.

>>729078789
but 0.00000000.....00001 is so small that it's 0

>>729079022
How?

>>729079039
The difference is called an infinitesimal
see >>729078686

People are attempting the fractional proof, this is the proper way to write it:

0.333... = 1/3
3(0.333...) = 3(1/3)
0.999... = 3/3
= 1

>>729077224
y'all know how to latex right?

0.999\ldots=0.9+0.09+0.009\cdots

0.999\ldots=9\cdot0.1+9\cdot0.01+9\cdot0.001+\cdots

0.999\ldots=9\cdot10^{-1}+9\cdot10^{-2}+9\cdot10^{-3}+\cdots

0.999\ldots=9\cdot(10^{-1}+10^{-2}+10^{-3}+\cdots)

0.999\ldots=9\cdot\sum_{n=1}^\infty 10^{-n}

0.999\ldots=9\cdot\sum_{n=1}^\infty\left(\frac{1}{10}\right)^n

\sum_{n=1}^\infty r^n=\frac{r}{1-r}
Therefore:

0.999\ldots=9\cdot\sum_{n=1}^\infty\left(\frac{1}{10}\right)^n=9\cdot\frac{\frac{1}{10}}{\left(1-\frac{1}{10}\right)}

0.999\ldots=9\cdot\frac{\frac{1}{10}}{\frac{9}{10}}

0.999\ldots=9\cdot\frac19=1

>>729079381
pls bb, fck TeX and use the Wolfram Language.

>>729078789
But also imagine that amount that was cut is an infinite possibility between .99 and 1. That amount is negligible, and can be rounded to 1

>>729079248

Infinitesimals aren't real numbers, and your non-Archimedean mathematics are not welcome here.

>>729079039
It depends, if we are talking legitimate amounts then there is a point where is no longer matters. Correct me if I'm wrong but the infinitely long number is just how a calculator handels showing an in-between there isn't a number for in decimal form. These are different numbers having a difference of an amount that of a plank length. A limit to how small a thing can be puts a wall in the middle of the infinite number. There is no infinite value just an extremely small one.

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It's a geometric sum. If you've taken pre-calculus, you can do this.

>>729077224
if its infinitely close to 1 isnt it 1 ? its like that rabbit surpassing the turtle in a race paradox

>>729078766
No, because 1/9 does not convert exactly to .111..., That's why it's a repeating digit.

Just because the calculator approximates doesn't make it a profound mathematical discovery. Calculators are a compromise for brevity, not the rule.

They are equal.
If they weren't, there would exist some number between them. No one can name any such number.
The difference between them is also 0, hence they are equal

>>729080003
No, it is exactly 1.

anyone with half a brain knows .9999.... equals 1

>>729080737
What about 0.49999.... a brain?

>>729080777
thats equal to 0.5 dumbass

>>729080813
You were too angry to check my trips?

>>729080777
is the same as .5

https://www.youtube.com/watch?v=SDtFBSjNmm0

>>729080003
That paradox is a super-task. https://m.youtube.com/watch?v=ffUnNaQTfZE
A task that separates measurement from theory. The problem is there is a smallest time and space, making these impossible. (What I'm trying to say here)
0.99999... is not one.

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>>729077224
close enough

>>729081159
there is not the smallest space because there's an infinite number of 9's.

>>729080992
https://youtu.be/--HdatJwbQY

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>>729077224

>>729081159
>0.99999... is not one.
But it is.

>>729081252
Plank length is the smallest length. The infinite 9's are a calculators way of showing a fraction in decimal form. I'm happy to educate you on math seeing as you don't understand 14 and 18 are not the same number. Get on in a few years

So if my dick is 5.999 inches then I have a 6 inch dick? Did my dick just grew?

>>729079852
fuckin finally someone else posts it before me

>>729081689
5.999 != 5.999...

>>729081601
>Plank length
>Educate me
>KYS

>>729081601
>not understanding the concept of infinity
planck's length is a constant, infinity is not

>>729077224
Correct. The difference is 0.00001

>>729082279
lol obvious troll

>>729081601
Stfu nigger! You don't get to be smart. Go back to picking cotton you nigger fuck, or fear the power of the whip!

>>729082096
>A limit to how small something can be
>But it's infinitely small
There is a limit, meaning that number is not infinite.

x = 0.999999....
10x = 9.9999999...

10x - x = 9x = 9
x=1

>>729078789
You're going to have some crumb dust from cutting the bagel, so when you put it back together it won't be a whole bagel.

>>729082486
I can hear you eating your tendies from here

>>729082575
plancks length is extremely small but not infintely small, it couldn't fit at the end of .9999 repeating because it infinitely repeats

>>729083048
I could really go for some tendies right now.

x = 0.999999....
10x = 9.9999999...

10x - x = 9x = 9
x=1

>>729078029
Genius We got ourselves a Math Autist Here

bruh im so high righ now, but if I has a triangle with sides equal to 1, then its hypotenuse is the square root of 2 bruh, and that is 1.414...

But that side of the triangle has a beggining, and an end bruh

>>729083203
Refer to
>>729082575
The plank length is a limit, not infinitely small. Read

>>729079852
Attention retards of /b/, this man has the answer

>>729079852
Latex?

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Well, you see...

Young Dakota Fanning has a tight butt hole

>>729081601
>Plank length is the smallest length.

Plank length is so small that you need a magnifying glass to see it.

>>729079650
This. Not all ideas you can develop turn out to be useful.

>>729084698
This. >>729083911

>>729078029
Technically 1/3 = 0.333... + 1/3rd of a plank unit. That infinitesimally small fraction gets lost when you convert.
source: made it up (worthless)

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>>729077224

1/3 does not equal .333333 thia is simply a decimal approximation as the real decimal equivlency is infinite.

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>>729077224
>is not equal 1

>>729085146
no one has claimed otherwise

>>729085146
1/3 = 0.1 in base three