Poll

Do you think 0.999... = 1?

yes
14 (93.3%)
no
1 (6.7%)

Total Members Voted: 15


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Does 0.999... = 1?
Posts: 34 Views: 4962

Mathyland
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  • 0.999... = 1
    This is heavily disputed in mathematics, and I wish people would realize that it really is true. There are cooler things such as how the sum of the natural numbers (1+2+3+...) equals -1/12, but people don't even agree that 0.999... = 1. I'm just hoping that this thread will open your eyes if you didn't already believe that 0.999... = 1. My aim is to have everybody who sees this answer yes in the poll. If you have any arguments or questions, or have some other comment, please reply to this. If you answer the poll with "no," please state why you disagree. I'll now provide 5.999... :D common proofs that 0.999... = 1:

    Proof #1:
    The proof goes like this:

    x = 0.999...
    10x = 9.999...
    9x = 9.999... - x
    9x = 9 (since x = 0.999... you can substitute 0.999... for x)
    x = 1

    Because x = 0.999... and x = 1, 0.999... = 1.

    Proof #2:
    This is a very common proof:

    1/3 = 0.333...
    1/3 + 1/3 + 1/3 = 1
    0.333... + 0.333... + 0.333... = 0.999...
    Therefore, 0.999... = 1

    Proof #3:
    This is basically the same thing

    1/9 = 0.111...
    1/9 * 9 = 1
    0.111... * 9 = 0.999...
    Therfore, 0.999... = 1

    Proof #4:
    This one uses more logic, and less math:

    There is no number between 0.999... and 1. Any two numbers with different values have a number in between them. Between 0 and 1 is 0.5. Between 0.5 and 0 is 0.1. Between those is 0.000001. Between those, there is 0.00000000000000000003403, and this goes on and on. There is no number between 0.999... and 1. If you add another nine, it's still infinite nines and doesn't change the value.

    Proof #5:
    The difference between 0.999... and 1 is 0.

    If you take 1 - 0.999... you get 0.000...1, but there's infinite zeroes, so you never get to the final 1. Therefore, 1 - 0.999... = 0.

    Proof #6:
    99.999% of mathematitions agree!


    @taulover

    EDIT: fixed some typos.
    « Last Edit: November 14, 2016, 03:23:09 AM by Mathyland »
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  • I don't get why you put a poll up there. It's almost like asking whether or not climate change is real or not.
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    Mathyland
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  • I don't get why you put a poll up there. It's almost like asking whether or not climate change is real or not.
    I guess that's a good point, and this could just be a discussion instead of a poll. I can't get rid of the poll, only lock it, so I feel like I should just leave it.

    P.S. The second "or not" in your post was redundant.
    « Last Edit: November 14, 2016, 03:42:28 AM by Mathyland »
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  • P.S. The second "or not" in your post was redundant.
    http://literarydevices.net/pleonasm/
    totally not just using that as an excuse
    « Last Edit: November 14, 2016, 04:02:10 AM by taulover »
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  • P.S. The second "or not" in your post was redundant.
    http://literarydevices.net/pleonasm/
    totally not just using that as an excuse

    I don't know if your post quite fits the qualifications for it to be a pleonasm. You weren't repeating "or not" to express a point, you just made a mistake. You didn't use it as a rhetoric device.

    EDIT: I didn't see the "totally not just using that as an excuse."
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  • I don't get why you put a poll up there. It's almost like asking whether or not climate change is real or not.

    Indeed.  Clearly the answer to both questions is "No."

     ;)
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  • I don't get why you put a poll up there. It's almost like asking whether or not climate change is real or not.

    Indeed.  Clearly the answer to both questions is "No."

     ;)

    The answer to which questions?
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  • I don't get why you put a poll up there. It's almost like asking whether or not climate change is real or not.

    Indeed.  Clearly the answer to both questions is "No."

     ;)

    The answer to which questions?
    No. :P

    Are we turning into Gov?
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  • I don't get why you put a poll up there. It's almost like asking whether or not climate change is real or not.

    Indeed.  Clearly the answer to both questions is "No."

     ;)

    The answer to which questions?
    No. :P

    Are we turning into Gov?
    No. :P

    Hannah is Skill!
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  • Who voted "Peanuts? Peanuts."  :))
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  • Mmm peanuts.
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  • MOD ABUSE MOD ABUSE :P
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  • It's not abuse if they're getting votes.  :o

    That's when they become perfectly legitimate (and legal) choices.  ;)
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