Debate on wether 1.9999999... (repeating to infinity) equals 2
I think it does.
I have some reasons but I will post them later so I can see what other people have to say.
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Debate on wether 1.9999999... (repeating to infinity) equals 2
I think it does.
I have some reasons but I will post them later so I can see what other people have to say.
If 1.999999 = 2 then it would be 2 surely?
no, 1.999999 = 1.999999
I don't think it does.
At what point does it become 2? Would you say that 1.9 is 2? I hope not.
Is this because 1/3= 0.333 2/3= 0.666 3/3= 0.999 but 3/3= 1
ya that is one of the ways that makes me think it is true.Quote:
Originally Posted by Captain Picard
You can use .999999999... = 1 which is easier
1/9=.111111...
2/9=.222222...
3/9=.333333...
8/9=.888888...
9/9=.999999...
9/9=1
Exactly, lolQuote:
Originally Posted by Soph!
Yes.
My maths teacher proved it.
we are not talking about 1.999999999Quote:
Originally Posted by Soph!
Everyone can agree that that does not equal 2
the question is does 1.99999999... (repeating to infinity) equal 2
0.9 recuring he means usually shown with a dot above the 9.
yaQuote:
Originally Posted by Cheekykarl
here is a page with more reasons why it is equal
http://polymathematics.typepad.com/p...sorry_it_.html
Not a very good teacher is he if he doesn't know his their, there and they're s.
And no 1.999999 does not equal 2 because they're their own separate numbers, that's like saying pi is 3.142.
it 1.9999 = 1.9999
Or i just dont ****** get it
no it doesn't..
I would say it isn't because if your using an infinity number of recurring numbers, then it isn't going to reach 2?
Quote:
No matter how many 9s you add, infinitely, it will NEVER equal one.
Quote:
Additionally, all of your calculations have infinitely repeating decimals which you very kindly shortened up for us (which you can't do, because again, you can't represent the concept of infinity on paper or even in html). If you had stopped the numbers where you did, the numbers would have rounded and the calculation would indeed, equal 1.
Bottom line is, you will never EVER get 1/1 to equal .99999999... You people think you can hide behind elementary algebra to fool everyone, but in reality, you're only fooling yourselves. Infinity: The state or quality of being infinite, unlimited by space or time, without end, without beginning or end. Not even your silly blog can refute that.
No it doesn't.
.9 recurring will always be infinitesimally smaller than 1, so no this can't be the case. Using fractions like that doesn't work, as it's an illogical method.
That is correct but we are not talking about 1.99999Quote:
Originally Posted by lazer-man
we are talking about 1.9999999999999999... (an infinite amount of 9's)
Why does 0.9999... = 1 ?Quote:
Originally Posted by FlyingJesus
Basically because there is no rational number small enough to fit between .9999... and 1. Therefore there is no difference making it the same number.
So not having a rational number between two numbers makes them the same number? That's irrational itself.
Maybe I explained that wrong. Maybe it was another word instead of rational number.
But the point was along the lines of if there is no number that can show the difference between .999... and 1 then they are the same number.
Wikipedia could explain it better
http://en.wikipedia.org/wiki/Proof_t...99..._equals_1
There is no number that can fit between .99999... and 1 because the next number has to be 1, it can't be anything else. My brain hurts :(Quote:
Originally Posted by BL!NKEY
Yeah so they are mathematically the same number.Quote:
Originally Posted by Wootzeh
Don't in-vision it as a long string of 9s (.9999999999999999999999999) with a 9 at the end because that is not an infinite amount.
That's like saying there's nothing between A and B in our alphabet, therefore A = B
Time to go editting wiki pages. Nevermind I don't like Wiki, it edits it back straight away :(
Say if you have a loaf of bread, and a piece is missing - then it's not a full loaf of bread... it's something different?
No what you are saying is that there is nothing between 1 and 2 so 1=2Quote:
Originally Posted by FlyingJesus
But there is somehting between 1 and 2 which is 1 unit
There is no number between .999... and 1
But if you have a loaf of bread and you want to cut a piece off so that there is only .999... of the bread left you cannot cut off a small enough piece no matter how small a knife you have.Quote:
Originally Posted by Aflux
ExactamundoQuote:
Originally Posted by Soph!
There is because the recurrence is infinite - getting from infinity to anything has infinite possibilities.Quote:
Originally Posted by BL!NKEY
No ... because you are dividing different numbers by 9 ... so you wont get 1. If you divide 9/9 then you wont get .99999999999 ... It doesnt always follow a pattern.Quote:
Originally Posted by BL!NKEY
No it's what it is, if it was 2 it'd just be 2.
What you are saying is that different things are the same as 1.9rec. is different to 2.
So a cat is different to a dog, therefore they are not the same?
Just as the 0.999.. number is infinately big, the difference between it and 1 is infinately small, but being infinately small doesn't make it nothing, so there is still a difference.
1/3 = .333...
2/3 = .666...
3/3 = .999...
I might not be the best at explaining it but wikipedia does a good job.
http://en.wikipedia.org/wiki/Proof_t...99..._equals_1
by infinitely small you are meaning .000...1 which is not a real limit number.Quote:
Originally Posted by Concentric2
You cannot have reoccurring numbers to infinity and then another number at the end.
There is no difference
I didn't say anything about it being recurring.Quote:
Originally Posted by BL!NKEY
In any case, if a number is infinitely small you can't say what goes on the end of it because you're giving it an ending.
no its not 2 ;)
It never becomes 2, it just gets closer to 2 with every "9" added.
No it 2 is 2 and 1.9999 is 1.9999.
But it never ends. There is no last digit.Quote:
Originally Posted by Doomsboy
there is no number that is in-between 2 and 1.999...
we are not talking about 1.9999Quote:
Originally Posted by [DC]eption
this is 2 and 1.999... repeating forever
1.9999999999 = 2 (1dp) :p
there is a theory, in my tiredness and bad maths thats proberly wrong though
1.9999999999 = 2 (1dp) :p
there is a theory, in my tiredness and bad maths thats proberly wrong though
edit awww poop lag got to me and double posted, genius =]