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File: 249 KB, 740x557, 0.555...=1 .png [View same] [iqdb] [saucenao] [google] [report]
11874389 No.11874389 [DELETED]  [Reply] [Original] [archived.moe]

Admit it, if you think "0.999...=1" then you also think" 0.555...=1"

If you don't openly admit to thinking that, then you're either a dishonest lying faggot OR just a retard who fails to notice his own retardation.

>> No.11874397

>>11874389
0.555... = 5/9, and 0.999... = 9/9

>> No.11874402

I have no problem admitting an obviously true fact

>> No.11874403
File: 490 KB, 449x401, he did it.png [View same] [iqdb] [saucenao] [google] [report]
11874403

>>11874402

>> No.11874480

>>11874389
sure, in base-6

>> No.11874487

>>11874389
im not even trolling i dont know much about math, but how can 0.999999999... be equal to 1? they are two distinct numbers no?

this means that 0.99999999... is not less than 1? that doesn't make logical sense, because 0.9999.... is smaller and you can plainly see it, sure the amount it is smaller is very very small but you can still logically see that 0.999... is smaller than 1 and that they are not equal?

pls help

>> No.11874495

>>11874487
0.999... = 1 - x
multiply both sides by 10
9.999... = 10 - 10x
subtract 9 from both sides
0.999... = 1 - 10x
1 - x = 0.999... = 1 - 10x
(1 - x) - (1 - 10x) = 0
9x = 0
x = 0

0.999... = 1 - x
multiply both sides by 10
9.999... = 10 - 10x
subtract (1 - x) from both sides
9 = 9 - 9x
divide both sides by 9
1 = 1 - x
x = 0

The difference between 1 and 0.999... is 0

>> No.11874501

0.99999...=1 in base 10
0.44444...=1 in base 5
0.00000...=1 in base 1

>> No.11874517

>>11874495
ok, that makes sense but what i don't understand is that

0.999... is less than 1, and we can see that because 0.999.. is a decimal where the whole part is 0 and the fractional part less than 1, so if 0.999.. is less than one, then how can they be equal?

>> No.11874535

>>11874517
It isn't less than one, in the same way that 1/2 + 1/4 + 1/8 + 1/16 ... = 1, the distance between 1 and 0.9, 0.99, 0.999 and so on keeps shrinking and once you have an infinite number of 9's the distance can only be 0, it's just a very confusing way of representing the number 1.

>> No.11874546

Numbers whose digits repeat forever are defined to be the limit of the sequence.
Obviously, the limit of 0.999... (aka 9/10 + 9/100 + ... + 9/10^n) as n goes to infinity is 1.

>> No.11874550

>>11874546
Meant for >>11874517

>> No.11874564

>>11874517
the whole part of 0.999... is 1
https://www.wolframalpha.com/input/?i=floor%280.999...%29

>> No.11874575

>>11874517
or if (for a decimal representation of a number) you define whole part as "stuff before the dot" and fractional part as "stuff after the dot" then whole part is 0 and fractional part is 1

>> No.11874603

>>11874535
>>11874546
>>11874564
>>11874575
but if we put 0.999... on the number line, wouldn't it be before the number 1? it surely can't be on the same point on the line as 1, and if it is before then it must be less than, so can numbers before 1 on the number line such as 0.999... be equal to 1?

>> No.11874607

>>11874603
if you mark down 0.999... and 1 on the number line you could zoom in on them forever and never see any difference between them, because the difference between them is 0

>> No.11874618

>>11874607
what do you mean 'zoom in forever'

if 0.999... is before 1 on the line then surely it is less than, so is 0.999... less than and equal to 1 instead?

>> No.11874624

>>11874618
>if 0.999... is before 1
it isn't

>> No.11874627

>>11874618
it's not before 1 on the line, it is equal to 1, see
>>11874495
0.999... + 0 = 1
you could mark both points on the number line and look closer and closer at them in infinite detail, you would never find that 0.999... is less than 1, they are on the same point

>> No.11874634

>>11874627
>you could mark both points on the number line and look closer and closer at them in infinite detail, you would never find that 0.999... is less than 1, they are on the same point
how can that be? i thought that every real number has a distinct point on the line, and that two numbers can't be on the same point

>> No.11874641

>>11874495
>The difference between 1 and 0.999... is 0
Wrong. The exact difference in indeterminate, but greater than 0. It can never be exactly 0, as the 9s after 0. are repeating forever; 0.999 is forever less than 1.

>> No.11874642

>>11874634
0.999... and 1 are not distinct numbers.

>> No.11874644

>>11874634
They are the same number, 0.999... is just an awkward way of representing 1 in decimal

>>11874641
see
>>11874495

>> No.11874646

>>11874644
See: >>11874641

>> No.11874692

>>11874517
I think the part where you're getting confused is your own inherent concept of infinity. In the 0.99999... representation, the number of 9's is infinite. Consider also your idea of 0.99999... and 1 being distinct on the number line. If that were the case you would be able to find a point in between the two (a property of the real numbers). Once you grasp intuitively that you can't construct such a number, you should realise that both 0.99999... and 1 are equal.

>> No.11874727

>>11874692
I really wonder, what exactly /is it/ about infinity that's so difficult to understand for you and other <1 = 1 tards?

>> No.11874731

>>11874727
Nice bait

>> No.11874748
File: 3.18 MB, 1280x9898, Eternity.jpg [View same] [iqdb] [saucenao] [google] [report]
11874748

>>11874727
The core of the mental problem in their minds of those who believe less than 1 is the same as 1 is this:

Their inability to comprehend that ".999..." isn't the same as "1" is directly tied to their inability to grasp eternity and infinity. Their minds have been programmed to believe eternity and infinity are impossibilities. Over the course of many generations of indoctrination into an alien worldview, their parents and their parents etc gradually "learned" to be unable to comprehend it and this "learned disability" was inherited, and encouraged/fueled by various external factors from the echoing modern culture.

So basically, they're mentally damaged.

This difficulty they have with eternity/infinity shows up in many different fields, from math to astrophysics.

This mental handicap is inherited directly from the (((Abrahamic))) religions, more specifically (((Christianity))) for us Westernerns. In it's origin, the inability to understand infinity and eternity is 100% Judaic in thought/philosophy. In contrast, the non-Jewish man; the Pagan man, at least the /European/ Pagan man, never had any problem with infinity and eternity. (((Christianity))) introduced into the minds of people the idea of life and the world/universe being linear, starting from point A and ending at a point B, whereas in the Native European worldview everything is an infinite circle.

That's why many people today can't understand that .999 repeating forever will never reach 1 - they refuse to accept the idea of an infinite/eternal repetition. Saying "it's 1" is their method of escaping from the uncomfortable (and to them insurmountable) challenge which the concept of infinity/eternity is to their Judaically-induced mental disease.

>> No.11874754
File: 71 KB, 696x1072, An admission.png [View same] [iqdb] [saucenao] [google] [report]
11874754

>>11874748
Very related, a revealing admission by one of the believers in the "less than 1 = 1" meme.

>> No.11874778

>>11874748
Found the schizo

>> No.11875485

>>11874402
Based retard.

>> No.11875665

If .9999999... = 1, then it must also equal 1.0000000....
yet every digit is different
Q.E.D.

>> No.11875698

>>11874389
If you understand the proof of 0.999... = 1, then please use that to show 0.5555... = 1

>> No.11875714

>>11875665
#DifferentButEqual

>> No.11875983

>>11874389
based

>> No.11876017

>>11874641
This.

>> No.11876126

>>11874389
.999.. Literally starts with .9
.9 < 1

Every number after .9 is less than .9 get that through your heads faggots.
2/3 = .666..7

>> No.11876145
File: 112 KB, 953x613, 1=.999....jpg [View same] [iqdb] [saucenao] [google] [report]
11876145

>>11874389
wait what? I just saged this shit.
>NO, THERES MORE THAN ONE THREAD
S A G E A N D H I D E

>> No.11876151

>>11876126
you clearly shouldnt be lecturing on the properties of decimal expansion
you fucking wrote .666...7
you cant have shit after the fucking dots, retard

>>
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