[QUOTE=Death_God;35300562]you pretty much took my entire post too literal[/QUOTE]
you knew what i meant when i said 0.555
[QUOTE=Death_God;35300562]
and see i honestly don't see how 0.999 = 1 ISN'T rounding.
it's no different from how rounding 0.55 could be 0.6, it's no different from that at all.[/QUOTE]
It's very different, because rounding is inaccurate. 055 is not the same as 0.6. You round because that level of accuracy is not important for whatever you are doing.
But 0.9... is exactly equal to 1. It isn't rounded because it is 100% accurate.
[QUOTE=MaxOfS2D;35293922]no, the key word is there
"representation"
you'd need an infinite numbers of 3333s, and the more you'd have, the closer you'd get to 1
it's not the same thing, and that's why the whole 0.999 = 1 is BS[/QUOTE]
if something is a representation of something else then that would imply equivalence
So many idiots in here.
0.9999 is approximately 1
0.9... is exactly 1
0.9999 does not equal 0.9...
Jesus it's so easy.
1 = 3/3 = 1/3+1/3+1/3 = 0.3...+0.3...+0.3...=0.9...
0.9... = 1 the same way 1/2 = 0.5
You are being given proof that 0.9... = 1 and yet you are still saying that it's not, but you don't give any proof to your claim. It's like watching Dawkins talking to Wendy Wright and showing her evidence supporting evolution and she's still like "nope".
You want to tell us that 0.9... does not equal 1, give us proof. We're giving you proof that 0.9... equals 1. You can't be infinitely close to something and not be there.
no, because 0.3... x 3 = 1
[QUOTE=abcpea2;35301316]no, because 0.3... x 3 = 1[/QUOTE]
1 = 3/3 = 1/3+1/3+1/3 = 0.3...+0.3...+0.3... = 0.3... x 3 = 0.9...
These are all equal.
I'd square root her trigonometric functions any day.
Why?
Just cos.
I don't understand why 1/infinity is 0 and not an non-zero infinitely small number. If I pick a number in a continuous interval, the chance of you getting it is 1/infinity. But if it's 0, then you can't guess my number. But you can, it's there, it's possible.
[QUOTE=MountainWatcher;35301991]I don't understand why 1/infinity is 0 and not an non-zero infinitely small number. If I pick a number in a continuous interval, the chance of you getting it is 1/infinity. But if it's 0, then you can't guess my number. But you can, it's there, it's possible.[/QUOTE]
There is no such thing as an infinitely small number e.g. 0.000...01.
Read this: [url]http://en.wikipedia.org/wiki/0.999...#Skepticism_in_education[/url]
Edit: have a joke I found
[quote]
How many Mathemeticians does it take to screw in a light bulb?
0.999...
[/quote]
ban everyone in this thread
[QUOTE=calzoneman;35302060]There is no such thing as an infinitely small number e.g. 0.000...01.
Read this: [url]http://en.wikipedia.org/wiki/0.999...#Skepticism_in_education[/url]
[/QUOTE]
For there to be continuity, don't we need numbers to be infinitely close?
[QUOTE=MountainWatcher;35302115]For there to be continuity, don't we need numbers to be infinitely close?[/QUOTE]
This all goes back to the concept of infinity.
Imagine that such a number 0.000...01 did exist.
There would be an infinite number of 0s, and therefore you never reach the one. The entire concept of a non-terminating decimal is that you cannot pick a digit and say "this is the last digit" because you will never get there. Every time you might reach the 1 at the end, there are still infinitely more 0s before you can reach it.
its really simple when you look at fractions
like 0.3˘ x 3 (dunno how to do right symbol)
What are people trying to prove here? Math, or what numbers represent and how they work?
[QUOTE=calzoneman;35302140]This all goes back to the concept of infinity.
Imagine that such a number 0.000...01 did exist.
There would be an infinite number of 0s, and therefore you never reach the one. The entire concept of a non-terminating decimal is that you cannot pick a digit and say "this is the last digit" because you will never get there. Every time you might reach the 1 at the end, there are still infinitely more 0s before you can reach it.[/QUOTE]
If we take 0.99999 and instead of "reading it"from the first 9 we "read it" on the 9 in the middle, we can put a finite number of 9's on each side. If we keep adding 9's to the left and to the right of the middle 9, we'll have an infinite decimal with infinite 9's to the left of it. We can't identify how many digits you have to go to reach the first 9, it's infinite. That doesn't mean it's not there, if it weren't the chain would never exist.
[QUOTE=MountainWatcher;35302196]If we take 0.99999 and instead of "reading it"from the first 9 we "read it" on the 9 in the middle, we can put a finite number of 9's on each side. If we keep adding 9's to the left and to the right of the middle 9, we'll have an infinite decimal with infinite 9's to the left of it. We can't identify how many digits you have to go to reach the first 9, it's infinite. That doesn't mean it's not there, if it weren't the chain would never exist.[/QUOTE]
What you're saying doesn't make sense. The very idea that the decimal extends infinitely makes it impossible to choose a "middle".
[editline]26th March 2012[/editline]
[QUOTE=Kaelazun;35302155]What are people trying to prove here? Math, or what numbers represent and how they work?[/QUOTE]
It's people who know math vs. people who think they're going to disprove the work of educated Mathematicians who gave us the evidence we're arguing.
Middle can be any digit that is infinitely far away from the extremities of the number, the argument stays the same.
Let's take a semi-line if you prefer. It has a defined start but stretches to infinity. if you place the origin of your referential on infinity, the origin of the line will be located at infinity, but it will still be there, it'll exist. Not in a finite distance, but it'll be there.
0.999... = 1 because we don't allow for infinitely small numbers in our math.
This does not prove anything.
[QUOTE=PederPauline;35303477]0.999... = 1 because we don't allow for infinitely small numbers in our math.
This does not prove anything.[/QUOTE]
People have posted mathematically solid evidence for the past 5 pages. Arguing against this is null, the people who posted the evidence didn't make it up, they got it from websites where Mathematicians proved them.
[QUOTE=calzoneman;35303708]People have posted mathematically solid evidence for the past 5 pages. Arguing against this is null, the people who posted the evidence didn't make it up, they got it from websites where Mathematicians proved them.[/QUOTE]
I didn't say their evidence was faulty. You can come up with advanced mathematical ways of showing 0.999... = 1, but all they're really showing is that we don't allow for infinitely small numbers in math.
[editline]26th March 2012[/editline]
Using infinity to prove something is on par with dividing by zero. As far as we know, a true zero or a true infinity does not exist in our universe, so ultimately we are going to make up its properties, so of course 0.999... = 1. That's what the made up properties of infinity tells us.
[QUOTE=MountainWatcher;35303207]Middle can be any digit that is infinitely far away from the extremities of the number[/QUOTE]
Every single digit is infinitely far away from the end of the number. 1 is the same distance from infinity as 1 million is. There is no "middle" to infinity, because if there would it would not be infinity.
I feel like this thread should have ended at the OP because there was a perfectly reasonable proof right there. But some people are like "Fuck that; I may be a high-school student who failed algebra 1 but I know better than all of the mathematicians in the world!"
Wat.
[QUOTE=Glorbo;35304544]Every single digit is infinitely far away from the end of the number. 1 is the same distance from infinity as 1 million is. There is no "middle" to infinity, because if there would it would not be infinity.[/QUOTE]
What? No shit. I said extremitieS. I.E. Infinity and the first digit.
[QUOTE=MountainWatcher;35305064]What? No shit. I said extremitieS. I.E. Infinity and the first digit.[/QUOTE]
A digit that is infinitely far away from the extremities is infinity. So there is no middle.
ITT: People in thread do not understand concepts of higher mathematics such as, infinite series, induction and convergence.
[QUOTE=peepin;35293169]I fucking hate this equation bullshit:
[i]x = 0.999...
10x = 9.999...
10x - x = 9.999... - 0.999... (or 10x - 0.999... = 9.999 - 0.999)
9x = 9
x = 1[/i]
You have to be retarded to believe that. Seriously? Do you see the flaw?
One of the biggest flaws: [i]x[/i] = 0.999... ! SO WHY ARE YOU SOLVING FOR [i]x[/i]?!
Ok, lets forget that big flaw.. If [i]x[/i] = 0.999 step 3 would look like (9.999... = 9.999...) ; when we subtract [i]x[/i] (0.999) it will be 9 = 9! GENIUS!
The other two are true.. Specially the blue one.[/QUOTE]
Holy fuck
what are you
oh my god
[QUOTE=Glorbo;35305174]A digit that is infinitely far away from the extremities is infinity. So there is no middle.[/QUOTE]
What? The "middle" of an infinite series is in infinity itself. Different infinities, that's why 2n - n tends to infinity and not 0
[QUOTE=gamefreek76;35298657]No, otherwise it would be 1, not .999...
I am adamant about this.[/QUOTE]
I used to think this once.
Until I saw the proofs.
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