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/sci/ - Science & Math

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3873745 No.3873745 [Reply] [Original]

1 - 0.999~ = 0.000...1

yea
umad

>> No.3873747
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3873747

0.000...1 = 0
1 - 0.99999~ = 0
yea
umad

>> No.3873749
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3873749

>> No.3873750

>>3873747
lolwut

0.000...1 =/ 0
0.000...1 - 0 = 0.000...1

>> No.3873751
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3873751

>>3873750
>1 - 0.999~ =/= 0.000...1
>1 - 0.999~ = 0

>> No.3873753

>>3873751
that doesnt make any sense
there's always a distance between the two numbers

>> No.3873754
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3873754

>> No.3873756
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3873756

>>3873753
The distance is as big as the distance between your dick and your mothers anus
LMAO
BECAUSE THERE IS NO DISTANCE XD

>> No.3873757
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3873757

>>3873756
lol u dont even kno math

its an infinitesimal difference

epsilon /= 0 dumbass

stop saging b/c you are dumb

>> No.3873758

1 - 0.999.... = 0.000...
thus 0.999... = 1

>> No.3873759

>>3873749
> A simple proof by induction
> Not a proof, no induction

>> No.3873760
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3873760

>>3873757
no

>> No.3873762
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3873762

>>3873760
come back to this discussion once you take calculus

then ull be able to do the limits and see 0.999~ is NOT 1

>> No.3873764
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3873764

>>3873762
I'm not even mad.
But it seems your knowledge of math is up to that of high school level.
So i think reaction images are good in place.
Deal wit it fagnerd xD

>> No.3873766 [DELETED] 

>>3873762
so tell me, what does
<math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mi>limit</mi><mf
enced separators=""><mrow><mi>seriesSum</mi><mfenced separators=""><mfrac><mrow><mn>9</mn></mrow><mrow>&
lt;msup><mrow><mn>10</mn></mrow><mrow><mi mathvariant="italic">n</mi></mrow></msup></mrow></mfrac>&
lt;mo>,</mo><mi mathvariant="italic">n</mi><mo>,</mo><mn>1</mn><mo
>,</mo><mi>∞</mi></mfenced></mrow><mo>,</mo>&
lt;mi mathvariant="italic">x</mi><mo>,</mo><mi>∞</mi><
/mfenced></mrow></math>
equal to?

>> No.3873769
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3873769

>>3873764
damn u mad bro

u probably cant even integrate a chain over a manifold

dont try to convince me 0.999~ = 1 b/c it doesnt

>>3873766
can u even format properly?

>> No.3873772
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3873772

>>3873762
Guess what?

>> No.3873773
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3873773

>> No.3873778

>>3873772
>x->infinity
>there isn't even an x
fullretard.jpg

>> No.3873779
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3873779

>>3873769
it's ok bro, one day you will understand.

>> No.3873782

>>3873769
You are a troll.
Argument:
1: 0.999... repeating denotes a Real Number.
2: There is no Real Number between 0.999... repeating and 1.
3: Thus, 0.999... repeating equals 1.

Alternatively:
0.999... is /defined/ to denote the result of the limit, which does equal 1.

If you do not wish to use the standard definitions, please either fuck off, and/or give your axioms for your new math.

>> No.3873786
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3873786

>>3873782
god damn u are a fukking moron

who says there needs to be a real number between them

what natural number comes between 1 and 2????
none
OH LOOK 1 and 2 MUST BE THE SAME NATURAL NUMBEr

damn bro u are retareded

>> No.3873793

>>3873786
lrn2 dense set, completeness of <span class="math">\mathbb{R}[/spoiler] etc.

>> No.3873799

>>3873782
Step 2 doesn't follow. Your first argument sucks.

>> No.3873802
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3873802

>>3873793
lrn2 logic

>> No.3873811

>>3873786
So? Different sets have different properties.

>> No.3873830

>>3873799
I never said it did. 1 and 2 are the premises. 3 is the conclusion. They're numbered for your benefit. You see the "thus" on 3, right? You don't see a "thus" on 2, right?

>> No.3873835

Series definition of decimal representation
Cauchy sequence
Completeness of R

>> No.3873840

>>3873835
why do u kids always talk about shit u dont understand

u dont need any of that

just look
they aren't the same
no matter how man 9's u never get to 1

>> No.3873861

>>3873840
>>3873840

Did you learn how to convert repeating decimals to fractions?
It goes like this:
x = 7.676767...
100x = 767.676767....
100x - x = 760
x = 760/99

By this logic:
x = 0.999...
10x - x = 9.999... - 0.999...
9x = 9
x = 1

Also: 1/3 = 0.333....
3/3 = 0.999...
1 = 0.999...

If you find a way to counter this I bow before you.

>> No.3873867

>still replying to this thread

>> No.3873868

0.999.... is not the same number as 1, but they have the same value.
It infinitely approaches 1 but never touches it.

That's what I learned at least, but I'm probably wrong.

>> No.3873870

>>3873861
fractions are only estimations of numbers

>> No.3873874

>>3873870
What?

>> No.3873876

>>3873874
1/3 /= 0.333~

it's only an estimation of 0.333~ that we use for convenience

that's why you cant be like
3/3 = 1 = 0.999~

b/c of the rounding error

>> No.3873879

>>3873876
>b/c of the rounding error
>rounding error
>0.999...
>rounding error

>> No.3873881

>>3873870
Numbers are only an estimation of fractions.
(the stupid, oh my god the stupid in this thread, make it stop)

>> No.3873880

>op cannot into asymptotes

>> No.3873886

>>3873876
That would be true if I wrote 1/3 = 0.333, or 1/3 = 0.3333333
This is a repeating decimal though, it goes on until infinity. Why exactly do you think that 0.333... times 3 isn't 0.999...?

>> No.3873929

>>3873745
Here's the formal bloody proof, now go troll someone else.

let f(x)=x
lim x->1- (x is getting ever closer to 1) if and only if for every ε > 0 we can find a δ>0 so that 0<|x − 1|<δ implies |f(x)−L|<ε. In this case f(x)=x and L=1.

0<|x-1|<δ AND |x-1|<ε. ==> δ<ε.
That is to say, for every ε>0, I can find a δ>0, such that if |x-1|<ε then 0<|x-1|<δ, and therefore lim x-->1 (f(x)=x)=1.

>> No.3873937

>>3873868
>approaches

This is your problem. Approaching implies some kind of movement, change, growth, whatever. But 0.999… doesn't get bigger and bigger as you add nines. All the nines are already there, an infinite amount of them.

>> No.3873938

>>3873929
baby's first delta epsilon

go take that shit somewhere else cause it doesn't make sense

you didn't even define a topology on the space

stupid fucktard
.99999999~ approaches 1 but never equals it

go troll somewhere else

>> No.3873939

>>3873937
consider it defined as a series

as you add the terms it gets closer but never equals 1

fuck off

>> No.3873947

>>3873939
You can't think of a number as a series, only as the limit of said series.

>> No.3873952

>STILL replying to this thread
seriously guys

>> No.3874112

The fact that it results in 0.00.....1 implies that the 0.9 ends somewhere, and is not recurring.