/sci/ - Science & Math » Thread #11929541

47KiB, 933x707, 1_w4DxUy0PMoqeq25UXfyL0g@2x.jpg

View Same Google iqdb SauceNAO

Anonymous Thu 23 Jul 08:14:45 2020 No.11929541 View Reply Original Report

Quoted By: >>11929549 >>11929556 >>11929561 >>11929607 >>11929632 >>11929752 >>11929791 >>11929891 >>11929927

Prove that 0.999 = 1

Anonymous

Anonymous Thu 23 Jul 2020 08:16:05 No.11929547 Report

Quoted By:

its not lel

Anonymous

Anonymous Thu 23 Jul 2020 08:16:58 No.11929549 Report

Quoted By:

>>11929541
it's 0.9... retard

Anonymous

Anonymous Thu 23 Jul 2020 08:18:35 No.11929553 Report

Quoted By:

1/9 = 0.111...
+
8/9 = 0.888...
=
9/9 = 0.999...

Anonymous

Anonymous Thu 23 Jul 2020 08:19:18 No.11929556 Report

Quoted By: >>11929558 >>11929604

>>11929541

1/3 = 0.3333

2/3 = 0.6666

3/3 = 1

Anonymous

Anonymous Thu 23 Jul 2020 08:20:20 No.11929558 Report

Quoted By:

>>11929556
>1/3 = 0.3333
>2/3 = 0.6666
no

Anonymous

Anonymous Thu 23 Jul 2020 08:20:53 No.11929561 Report

Quoted By: >>11929563

>>11929541
Is the expression true when you use a base 999 number system?

Anonymous

Anonymous Thu 23 Jul 2020 08:21:53 No.11929563 Report

Quoted By: >>11929570

>>11929561
not true even in base 9

Anonymous

Anonymous Thu 23 Jul 2020 08:24:00 No.11929570 Report

Quoted By: >>11929576

>>11929563
Base 9 would be false since it'd be 1.11 but base 999 (obviously taking the freedom to group the 999 after the decimal to one digit) 0.999 would = 1, no?
I don't see why it wouldn't.

Anonymous

Anonymous Thu 23 Jul 2020 08:25:29 No.11929576 Report

Quoted By: >>11929583

>>11929570
>Base 9 would be false
since '9' doesn't exist in base 9

Anonymous

Anonymous Thu 23 Jul 2020 08:26:21 No.11929580 Report

Quoted By:

They are both in the same equivalence class of cauchy sequences.

Anonymous

Anonymous Thu 23 Jul 2020 08:26:50 No.11929583 Report

Quoted By: >>11929592

>>11929576
Well duh but I'm translating it from base 10 to base 9

Anonymous

Anonymous Thu 23 Jul 2020 08:29:41 No.11929592 Report

Quoted By:

>>11929583
1 is 1 in any base

Anonymous

Anonymous Thu 23 Jul 2020 08:33:07 No.11929595 Report

Quoted By:

1 = 9/10 + 1/10
= 0.9 + 1/10
= 0.99 + 1/100
= 0.999 + 1/1000
:
= 0.9... + 1/inf
= 0.9... + 0
= 0.9...

Anonymous

View Same Google iqdb SauceNAO this.jpg, 187KiB, 3000x3000

Anonymous Thu 23 Jul 2020 08:36:22 No.11929604 Report

Quoted By: >>11929608

>>11929556
>>11929556
>>11929556

Anonymous

Anonymous Thu 23 Jul 2020 08:37:29 No.11929606 Report

Quoted By: >>11929609

.999... doesn't exactly exist

And no just because you can come up with a .333... and .666... decimal from fractions doesn't mean you can get .999... from a fraction. It literally doesn't exist it's simply a term dreamed up by 5heads with to much time on their hands.

Anonymous

Anonymous Thu 23 Jul 2020 08:37:35 No.11929607 Report

Quoted By:

>>11929541
0.999 =/= 1
0.999... = 1

Anonymous

Anonymous Thu 23 Jul 2020 08:38:32 No.11929608 Report

Quoted By:

>>11929604
nope
1/3 - 0.3333 = 0.0000333...

Anonymous

Anonymous Thu 23 Jul 2020 08:39:35 No.11929609 Report

Quoted By:

>>11929606
>.999... doesn't exactly exist
wrong
0.9... = 1, exactly

Anonymous

Anonymous Thu 23 Jul 2020 08:40:56 No.11929615 Report

Quoted By:

$ 1 = \dfrac{3}{3} = 3 \cdot \dfrac{1}{3} = 3 \cdot 0.\bar{3} = 0.\bar{9} $

Anonymous

Anonymous Thu 23 Jul 2020 08:42:40 No.11929620 Report

Quoted By: >>11929625

.9... doesn't exist

.3...+ .3... +.3... =1 not .9...
1/3 + 1/3 +1/3 =1
Define .9... as a fraction or gtfo

Anonymous

Anonymous Thu 23 Jul 2020 08:44:01 No.11929623 Report

Quoted By: >>11929627

3 x 1/3 = 1/3 + 1/3 + 1/3 =1 not .9...

Anonymous

Anonymous Thu 23 Jul 2020 08:44:55 No.11929625 Report

Quoted By:

>>11929620
>.9... doesn't exist
wrong
>.3...+ .3... +.3... =1 not .9...
wrong
>1/3 + 1/3 +1/3 =1
goodboi
>Define .9... as a fraction or gtfo
9.999.../10

Anonymous

Anonymous Thu 23 Jul 2020 08:46:01 No.11929627 Report

Quoted By:

>>11929623
nope, 1=.9...

Anonymous

Anonymous Thu 23 Jul 2020 08:46:40 No.11929631 Report

Quoted By: >>11929635

9.9... doesn't exist either.

You're trying circular arguments.

Anonymous

Anonymous Thu 23 Jul 2020 08:47:03 No.11929632 Report

Quoted By: >>11929651

>>11929541
1 - 0.9...inf = 0.0...inf1
the 1 is after infinite 0 so it is never there

Anonymous

Anonymous Thu 23 Jul 2020 08:48:29 No.11929635 Report

Quoted By: >>11929645

>>11929631
[citation needed]

Anonymous

Anonymous Thu 23 Jul 2020 08:55:16 No.11929644 Report

Quoted By: >>11929645 >>11929649

In order to say 9.9... exist you are relying on the assumption that .9... exist

You would have to be able to show .9... actually exist as a number in order to have it follow any whole number.

Thus the fraction 9.9.../10 is not suitable to prove the existence of .9... as a number.

Anonymous

Anonymous Thu 23 Jul 2020 08:55:51 No.11929645 Report

Quoted By:

>>11929644
>>11929635

Anonymous

Anonymous Thu 23 Jul 2020 08:58:50 No.11929649 Report

Quoted By:

>>11929644
>Thus the fraction 9.9.../10 is not suitable to prove the existence of .9... as a number.
no one said so, retard
you asked for a fraction and got one, it was just amusing an idiot

Anonymous

Anonymous Thu 23 Jul 2020 08:59:04 No.11929651 Report

Quoted By: >>11929653

>>11929632
$ 1 - 0.\bar{9} = 0.\bar{0}1 $

Anonymous

Anonymous Thu 23 Jul 2020 09:00:22 No.11929653 Report

Quoted By: >>11929660

>>11929651
0.000...1 = 0
so yes

Anonymous

Anonymous Thu 23 Jul 2020 09:05:14 No.11929660 Report

Quoted By: >>11929663 >>11929709

>>11929653
proof?

Anonymous

Anonymous Thu 23 Jul 2020 09:07:02 No.11929663 Report

Quoted By: >>11929670 >>11929674

>>11929660
0.1=10^-1
0.01=10^-2
0.001=10^-3
:
0.0...1=10^-inf=0

Anonymous

Anonymous Thu 23 Jul 2020 09:14:38 No.11929670 Report

Quoted By: >>11929678

>>11929663
>infinity
not real nigger

Anonymous

Anonymous Thu 23 Jul 2020 09:15:41 No.11929674 Report

Quoted By: >>11929680

>>11929663
>10^-inf=0
proof?

Anonymous

Anonymous Thu 23 Jul 2020 09:17:48 No.11929678 Report

Quoted By: >>11929688

>>11929670
so? that's what '...' and $\bar{1}$ means, retard

Anonymous

Anonymous Thu 23 Jul 2020 09:18:59 No.11929680 Report

Quoted By:

>>11929674
r/inf=0
r is any real number

Anonymous

Anonymous Thu 23 Jul 2020 09:21:35 No.11929688 Report

Quoted By: >>11929692

>>11929678
What's the last number of infinity?

Anonymous

Anonymous Thu 23 Jul 2020 09:22:39 No.11929690 Report

Quoted By: >>11929695

PROVE that 1=1

Anonymous

Anonymous Thu 23 Jul 2020 09:24:31 No.11929692 Report

Quoted By: >>11929713

>>11929688
it's not real, you just said so
>last number
that's realnumber stuff

Anonymous

Anonymous Thu 23 Jul 2020 09:25:34 No.11929695 Report

Quoted By:

>>11929690
prove proving

Anonymous

Anonymous Thu 23 Jul 2020 09:27:54 No.11929700 Report

Quoted By:

$0.\bar{9} = \sup\{ \sum_{k=1}^n \frac{9}{10^k} \mid n\in \mathbb{N}\}=1$

Anonymous

Anonymous Thu 23 Jul 2020 09:33:54 No.11929709 Report

Quoted By: >>11929714 >>11929730

>>11929660
$0.\bar{0}1 = \lim_{n \to \infty} 0.\underbrace{0\dots0}_{n - \text{times}}1 = \lim_{n \to \infty}\Big[ \big( \sum_{k=1}^n \frac{0}{10^k}\big) + \frac{1}{10^{n+1}}\Big] =0$

Anonymous

Anonymous Thu 23 Jul 2020 09:36:49 No.11929713 Report

Quoted By: >>11929726

>>11929692
0.0...1 isn't a real number either.
0 is a real number.

Anonymous

Anonymous Thu 23 Jul 2020 09:37:52 No.11929714 Report

Quoted By: >>11929736 >>11929742

>>11929709
>lim
>infinity
schizophrenia

Anonymous

Anonymous Thu 23 Jul 2020 09:43:42 No.11929726 Report

Quoted By:

>>11929713
ok bud

Anonymous

Anonymous Thu 23 Jul 2020 09:45:14 No.11929730 Report

Quoted By:

>>11929709
$\displaystyle 0. \bar{0}1 = \lim_{n \to \infty} 0. \underbrace{0 \dots0}_{n ~ \text{times}}1 = \lim_{n \to \infty} \left [\left (\sum_{k=1}^n \dfrac{0}{10^k} \right ) + \dfrac{1}{10^{n+1}} \right ] =0 $

Anonymous

Anonymous Thu 23 Jul 2020 09:48:34 No.11929736 Report

Quoted By:

>>11929714
Please translate into non-autistic

Anonymous

Anonymous Thu 23 Jul 2020 09:52:33 No.11929742 Report

Quoted By: >>11929758

>>11929714
>simple logical formula involving only numbers and inequalities
>schizophrenia
intellectual disability

Anonymous

Anonymous Thu 23 Jul 2020 09:56:22 No.11929752 Report

Quoted By:

>>11929541
but why are you gay

Anonymous

Anonymous Thu 23 Jul 2020 10:01:15 No.11929758 Report

Quoted By: >>11929763

>>11929742
>i believe it's true so it has to be true
autism is a super power

Anonymous

Anonymous Thu 23 Jul 2020 10:02:05 No.11929759 Report

Quoted By:

why should I, retard?

Anonymous

Anonymous Thu 23 Jul 2020 10:04:19 No.11929763 Report

Quoted By: >>11929766

>>11929758
>logical truth has anything to do with "belief"
intellectual disability

Anonymous

Anonymous Thu 23 Jul 2020 10:06:31 No.11929766 Report

Quoted By: >>11929768

>>11929763
>logical truth
prove it's true

Anonymous

Anonymous Thu 23 Jul 2020 10:09:12 No.11929768 Report

Quoted By: >>11929773 >>11930433

>>11929766
give me your definition of 0.999...

Anonymous

Anonymous Thu 23 Jul 2020 10:11:48 No.11929773 Report

Quoted By: >>11929784

>>11929768
not an answer.
prove logic is true.

Anonymous

Anonymous Thu 23 Jul 2020 10:17:25 No.11929784 Report

Quoted By: >>11929797 >>11929862

>>11929773
give me your definition of logic

Anonymous

Anonymous Thu 23 Jul 2020 10:19:14 No.11929791 Report

Quoted By:

>>11929541
nigger math. QED

Anonymous

Anonymous Thu 23 Jul 2020 10:20:54 No.11929797 Report

Quoted By:

>>11929784
I don't know what logic is.
tell me.
what is it?

Anonymous

Anonymous Thu 23 Jul 2020 11:06:18 No.11929862 Report

Quoted By: >>11929878

>>11929784
define define

Anonymous

Anonymous Thu 23 Jul 2020 11:13:30 No.11929878 Report

Quoted By:

>>11929862
I understand it genetically.
https://en.wikipedia.org/wiki/Biolinguistics

Anonymous

Anonymous Thu 23 Jul 2020 11:22:54 No.11929891 Report

Quoted By: >>11929894

>>11929541
No, .999... = 0!.

Anonymous

Anonymous Thu 23 Jul 2020 11:26:26 No.11929894 Report

Quoted By: >>11929898

>>11929891
0.9... = 0!!!

Anonymous

Anonymous Thu 23 Jul 2020 11:30:39 No.11929898 Report

Quoted By:

>>11929894
No, it is 1!.

Anonymous

Anonymous Thu 23 Jul 2020 11:48:11 No.11929927 Report

Quoted By:

>>11929541
1 - 0.999 = 0.001
0.001 is to small, so we can ignore it
therefor 0.999 = 1

Anonymous

Anonymous Thu 23 Jul 2020 15:19:20 No.11930433 Report

Quoted By:

>>11929768
nine sumptin'

Capcode	All Only User Posts Only Moderator Posts Only Admin Posts Only Developer Posts
Show Posts	All Only With Images Only Without Images
Deleted Posts	All Only Deleted Posts Only Non-Deleted Posts
Ghost Posts	All Only Ghost Posts Only Non-Ghost Posts
Post Type	All Only Sticky Threads Only Opening Posts Only Reply Posts
Results	All Grouped By Threads
Order	Latest Posts First Oldest Posts First

Your latest searches