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ForumsDiscussion Forum → Does 0.99999~ equal 1?
12
Does 0.99999~ equal 1?
2004-09-26, 7:35 PM #41
Quote:
Learn calculus.

One distinction I could point out is that we're not watching the equation y = .9(.1 ^ x), we're watching the sum of all of its terms as x approaches infinity.


TFTI. Math Sux Kthxbai.

:D
Think while it's still legal.
2004-09-26, 8:40 PM #42
Don't profess to know anything about it then. It just makes you look totally clueless.
"it is time to get a credit card to complete my financial independance" — Tibby, Aug. 2009
2004-09-26, 8:42 PM #43
Lordvader, you're what, a junior in high school? I'm in college and you know more calculus than me. :(
Bassoon, n. A brazen instrument into which a fool blows out his brains.
2004-09-26, 8:59 PM #44
Quote:
Originally posted by SAJN_Master
TFTI. Math Sux Kthxbai.

:D


Yeah... No.

Saying things like that is like saying "Omfg leik H20 == chmestary an chemestary is teh sUCK!@:!!!:"
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2004-09-26, 9:45 PM #45
Jesus Christ. Math is stupid. (I am better at math than any of you.) The only reason that 0.999... may seem to equal 1 is because of the shortcomings of the decimal system. That is f'ing all.
"When it's time for this planet to die, you'll understand that you know absolutely nothing." — Bugenhagen
2004-09-26, 9:54 PM #46
Do me a favor and don't spew misinformation. Go actually learn about math, instead of speculating and being wrong about it.
"it is time to get a credit card to complete my financial independance" — Tibby, Aug. 2009
2004-09-27, 4:01 AM #47
Who was that aimed at? :p
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2004-09-27, 4:08 AM #48
I'd guess Tonberry.
omnia mea mecum porto
2004-09-27, 4:44 AM #49
If you want something to think of that you can understand (it's not the best proof but...)

x = 0.9999~
10x = 9.9999~
- 1 - 1
9x = 9
x = 1 = 0.999999~

Tadaa.

Also,
1 / 9 = 0.1111~
2 / 9 = 0.2222~
3 / 9 (1/3) = 0.3333~
4 / 9 = 0.44444~
...
9 / 9 = 0.99999~

9 / 9 = 1
1 = 0.999999~

Ok, so that second one isn't really proof, but you get the idea.
Ban Jin!
Nobody really needs work when you have awesome. - xhuxus
2004-09-27, 11:06 AM #50
GhostOfYoda seems to have gotten it right...
Quote:
Originally posted by GhostOfYoda
0.999999~ is 1 - 1/infinity.

Of course, any number that could be contained within the human brain would be a negligible ammount when divided by infinity, and as such, the difference between 0.999... and 1 would be virtually insignificant.

Also, one must remmember that 1/3 != 0.333... No matter how many 3's you use, you're still going to fall short of the equivalent of 1/3. As for the equation that:

(0.999...)=X
(0.999...)*10 = 9.999
(9.999...)-X = 9
(9/9)=1
(therefore) (0.999...) = 1

...The equation is wrong, as it makes a mistake. Presuming that infinity can be used in an operation, by multiplying X by 10, you'll wind up with (Infinity-1) digits past the decimal point, which creates a number less in value than (X*9).

Though we may not be able to count it (being as we are but humans), performing any operation with infinity will cause it to cease being truly infinity, even though it will still be impossible to count. Hence:

(Infinity-1) != Infinity
(Infinity-1) = (Infinity-1)

[edit: I just remembered what my sig is... Lol.)
Wake up, George Lucas... The Matrix has you...
2004-09-27, 11:14 AM #51
Quote:
(0.999...)=X
(0.999...)*10 = 9.999
(9.999...)-X = 9
(9/9)=1
(therefore) (0.999...) = 1


No, this is the method used for making a rational number into a fraction.
"The trouble with the world is that the stupid are cocksure and the intelligent are full of doubt. " - Bertrand Russell
The Triumph of Stupidity in Mortals and Others 1931-1935
2004-09-27, 11:29 AM #52
even 0,9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999

does not equal 1

Does 9 equal 1. No because they are not the same numbers
so 0.9 (times alot) does also not equal 1
2004-09-27, 11:34 AM #53
nottheking, so much speculation, so little fact.

infinity - 1 = infinity. It's a fact. Don't say that it's not just because you don't think it is. Pick up a math book, and read it. Please. If infinity - 1 didn't equal infinity, Calculus would be totally screwed up, if not ceasing to exist.
"it is time to get a credit card to complete my financial independance" — Tibby, Aug. 2009
2004-09-27, 11:52 AM #54
Quote:
Originally posted by Freelancer
nottheking, so much speculation, so little fact.

By saying that, you have shown that you have very little understanding of any of the mathematics. Mathematics is not science; there is no fact or speculation. And I have advanced mathematics experience. From what you say, I presume that you have very little actual capability to understand exactly what math is, so I do not need to post any of your ignorant statements. I'm not trying to insult you, it's just that like >95% of all humans, you cannot comprehend the concept of infinity; you just claim that it's a value, that retains the same absolute value no matter what is done by it.
Wake up, George Lucas... The Matrix has you...
2004-09-27, 12:11 PM #55
Dude, you are really a class act.

Whatever you say doesn't change the fact that the expression (infinity - 1) does in fact equal infinity. I understand that infinity - infinity can be any real number (and thus undefined). I do understand the concept of infinity, kthx. But you saying any operation done to infinity changes its value is simply wrong. Addition does nothing to it. Subtraction does nothing to it, unless you're subtracting by infinity, in which case it's undefined, though depending on the expression, it can be simplified and solved.
"it is time to get a credit card to complete my financial independance" — Tibby, Aug. 2009
2004-09-27, 12:14 PM #56
You're talking to a self-proclaimed-genius brickwall.
omnia mea mecum porto
2004-09-27, 1:04 PM #57
Quote:
Also, one must remmember that 1/3 != 0.333...


In high school algebra you should have learned that infinitely repeating decimals are rational. You also should have learned that the equation which you claim is wrong is the algebraic way to convert an infinite decimal to its fractional form.

In calculus you should have learned that an infinitely repeating decimal can be represented as an infinite series, which can then be summed to yield an equivalent fractional answer.

In Real Analysis you should have covered series in-depth, defined at least the Reimann, Darboux, and Lebesgue integrals, proven most of the theorems from elementary calculus, and so on, and thus should have a better understanding of infinity, limits, and infinite series than "1/3 doesn't equal .333... !!!"

Exactly what does your "advanced mathematics experience" cover?
2004-09-27, 2:25 PM #58
Quote:
Originally posted by nottheking
Also, one must remmember that 1/3 != 0.333...


...holy **** dude.
Bassoon, n. A brazen instrument into which a fool blows out his brains.
2004-09-27, 2:43 PM #59
[Insert number line]

1, being a whole number, is heavier than .99999999~.

That said, it can be understood that 1 has a higher gravitational pull.

1 pulls .9999999999~ to it's spot on the number line, making .999999999~ = 1, and also giving reason for 1 to be more dense, looping back to the beginning of the post.

And you can't prove me wrong, because I just pulled it out of my ***. Like most of math.
TAKES HINTS JUST FINE, STILL DOESN'T CARE
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