There are 12 choices, 29 votes for eightball's debate

is .9999 reapeating equal to one?

a mathmatical question i have been pondering, does .9999 reapeting eventually round up to equal 1?


  • YES!

    Here's the Proof:

    Let x = .9999 repeating

    10x = 9.9999...

    10x = 9 + x

    10x - x = 9

    9x = 9

    x = 1
    17%  Voted for by ExpensiveThinker, judo monkey, Makessenseright, pnktrky, intangableenigma.
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  • yes and no

    consider the fraction 1/3, when made into a decimal, it equals .3333 repeating, and 2/3 equals .6666 repeating. When you add 1/3 and 2/3, you get 3/3, which is 1, but when you add .3333 repeating and .6666 repeating, you get .9999 repeating.

    13%  Voted for by eightball, DryIce808, Kei-Aira, Molzahn.
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  • Yes and no

    No. Mathamitically speaking, they are not the same value, and hence, not truely the same amount. The differeance between the two ammounts is infinitly small, and can not be truely understood, only accepted as existing, but the differance still remains.

    And Yes. For any real use, they are exactly the same, you would never nitpick over a differance of that infinitly small space between the two values.

    So technically no, but in the working world, yes, they're the same bloody number. Now I have a new question.

    Is it really worth discussing, or aren't there better things that we could do with out time? Quite honestly, that was what I was posting to say. There are more pertinant questions out there to be thought on.

    10%  Voted for by Dark-Scorpion, Forty-Two, Kei-Aira.
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  • Yes it does

    0.9999999 recuring means that the 9s go on for ever, not for like a really long time, for EVER, so there is no point where there can be a 0.000001 however far along the line. in terms of probability then ther wouldn't be ANY one in a million bilion chance

    10%  Voted for by judo monkey, dewbee, ExpensiveThinker.
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  • No

    Although the further along the nines went the closer they would get to being one, they will never actually reach one.

    10%  Voted for by Red Death, Kei-Aira, Oral Fixation.
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  • no!

    Your theory contradicts the mathmatical law that says any real number can only equal one numerical value (aka the reflexive property of equality: every value is equal to itself).

    This law has been proven numerouse times. You have not proven your theory. You have only given an example in favor of your theory, however if there is one example that contradicts your theory then it is wrong.

    For example if you say x=.9999... and multifly both sides by .5 you end up with .9999... as your ending x value. In this case .9999... did not equal 1 so the theory is wrong.

    6%  Voted for by drastic plastic, Kei-Aira.
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  • What are you people talking about?

    .9999 is not equal to one for a reson. It is a very slim chance however .9999 gives a a .0001 trial for error meaning it probubly won't happen but disstalntly somehow mirical like possiblely could.

    6%  Voted for by Wolf Heart, Kei-Aira.
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  • Well, .9999(infinite) does not technically exist, so....

    Yes and no. Both 1 and .9999 (infinite 9s) are capable of being used in the exact same way in terms of math. Thus they seem to be equal. But 1 is a definite number. .9999 (infinite 9's) is an infinite number. That makes the latter a theoretical number in that it can never be truly actualized. On the other side, 1 is an actual number. But why argue? It really does not make that much difference. When the answer is .9999 (infinite 9's), your TI-84 or whatever calculater you use is going to round the number to 1.

    6%  Voted for by keyman7, Jackymania.
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  • Proof .9999... Does NOT equal 1
    Counting 1 takes one second. Counting .9999... takes eternity.

    finite seconds NOT EQUAL TO infinite seconds
    6%  Voted for by Brew Kline, Jackymania.
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  • infinately small things

    >>>>>that infinitly small space between the two values.>>>

    does not the world hang by a thread????

    (excuse the pun)

    Voted for by dewbee.
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  • calculators estimate: 1/3 does not equal 0.33*
    1/3 does not equal 0.333(repeat). This is why we call it irrational number.... IRRATIONAL.... is not equivlent.. 0.999* = 1 because 0.999* only reflects an irrational interpretation that would otherwise rationally would be 1
    Voted for by Molzahn.
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  • here's what
    it's more of ..
    err like an asymptote.
    Voted for by n ick.
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