By using this site, you agree to our Privacy Policy and our Terms of Use. Close

Forums - General - 0.999....=1

 

Which one?

Maths 19 26.76%
 
Math 20 28.17%
 
Mathematics 32 45.07%
 
Total:71
Davman on 02 April 2016

Guys i don't know good english but i am mathematician and you cannot replace a number with an unknown number you are looking. And in second example you made mistake in basic math execution.



Around the Network
Peh on 02 April 2016
Davman said:
The problem is that you don't understand you cannot replace 0,999.... with x during the solution.

And the winner is this guy.

It's midnight here and I can' think straight. The calculation is wrong in the op. You can't add an x out of nothing on one side and remove 0.9999999. That's the mistake OP did. 

 

So you had to +x on both sides and minus 0.9999 also on both sides. You just can't replace 0,99999 with X. This is not possible.



Intel Core i7 8700K | 32 GB DDR 4 PC 3200 | ROG STRIX Z370-F Gaming | RTX 3090 FE| Crappy Monitor| HTC Vive Pro :3

Faelco on 02 April 2016
Davman said:
Guys i don't know good english but i am mathematician and you cannot replace a number with an unknown number you are looking. And in second example you made mistake in basic math execution.

 

What ?

 

The "If x=0.999999..." or equivalent is basically the first sentence of any mathematical problem or demonstration. Of course you can replace your "0.999999999..." by x. 



Davman on 02 April 2016

One sec now i saw the if x= 0,9999. i will edit.

well the limit of 0,999.. is 1 when digits goes to infinity so the outcome is right. my mistake.



pleaserecycle on 02 April 2016
JRPGfan said:

^ read my above in bold text.

Im not saying  0 can be equal to 0.0000000001.

 

What Im saying is 0.9999999 = 1

is wrong.

Why?

Because you would always be missing that 0.000000001 part.

You can tell their not the same number on each side, by the fact that we re writeing them differntly.

 

In concept.... because we live in a physical world, where theres a limit to things, it could make practical sense.

However in math terms I think its wrong.

 

I think the proof is bad math.

I just dont know how to proove that its bad math.

I hear ya... it's not an intuitive or trivial concept.  It's just a really weird consequence of the way we've chosen to represent numbers as decimals.  The actual explanation requires higher mathematics than algebra.  



Around the Network
Teeqoz on 02 April 2016
Ljink96 said:
Teeqoz said:

Actually, all numbers have two notations.

1.5000... (or 1.5 as we'd normally write) is the same as 1.4999....

0.1000... is the same as 0.09999999 (this one is pretty easy to infer when one accepts that 0.999... is equal to 1, because 0.0999 is the same as 0.999.../10, and 0.1 is the same as 1/10, and because 0.999...=1, naturally 0.1 must be equal to 0.0999...)

So this works with every number then? The math problem that you showed at the beginning, works with any number? Btw, why didn't you add Maff to the poll?

It works for every finite number. It doesn't work for a number that has no end, like pi, or the square root of 2, or 0.3333...



Faelco on 02 April 2016

If anyone of you wants additionnal proofs and demonstrations, it's pretty easy : (the OP demonstration is even one of the first ones)

https://en.wikipedia.org/wiki/0.999...



Teeqoz on 02 April 2016
Peh said:
Davman said:
The problem is that you don't understand you cannot replace 0,999.... with x during the solution.

And the winner is this guy.

It's midnight here and I can' think straight. The calculation is wrong in the op. You can't add an x out of nothing on one side and remove 0.9999999. That's the mistake OP did. 

 

So you had to +x on both sides and minus 0.9999 also on both sides. You just can't replace 0,99999 with X. This is not possible.

Yes I can, because I've defined x = 0.999...



Peh on 02 April 2016
Player2 said:
Peh said:
What we can do in math can't be applied to reality. In reality there are only natural numbers. How we define things make them irrational, but not reality. Reality just doens't care.

The chance of obtaining a six in a six sided dice isn't a natural number.

And what is chance? A word with a definition made by humans. The universe doesn't work that way and doesn't care, because it can't care.

 

Now I am going back to bed.



Intel Core i7 8700K | 32 GB DDR 4 PC 3200 | ROG STRIX Z370-F Gaming | RTX 3090 FE| Crappy Monitor| HTC Vive Pro :3

Platina on 02 April 2016

Math doesn't work that way

though it does look neat

[1/9]*9 = 1, not 0.999...



NintenDomination [May 2015 - July 2017]
 

  - Official  VGChartz Tutorial Thread - 

NintenDomination [2015/05/19 - 2017/07/02]
 
          

 

 

Here lies the hidden threads. 

 | |

Nintendo Metascore | Official NintenDomination | VGC Tutorial Thread

| Best and Worst of Miiverse | Manga Discussion Thead |
[3DS] Winter Playtimes [Wii U]