.9999999 Is Proven To Be Equal To 1!

Discussion in 'General Discussion' started by Aurori, Sep 12, 2007.

  1. Frog

    Frog Well-Known Member

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    Division is the opposite of multiplication, so 1/3 *3=1.
    Don't tell me that 1/3 *3 is .9999 repeating, not 1 :huh:
     
  2. Renagade

    Renagade Senior Member

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    Anything is solvable if you bring in random numbers and letters that you pull out of your ass into the equation.

    Try solving world hunger using that method.
     
  3. A Spoon

    A Spoon Well-Known Member

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    1 divided by 3 is .333 repeating (still with me?)
    .333 multiplied by 3 is still .999 repeating.

    However, if we're working with fractions (which don't have repeating numbers), then it works.

    One Third multiplied by Three = 1.
     
  4. Frog

    Frog Well-Known Member

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    So doesn't that prove .999 repeating is equal to 1? Unless you're saying that using decimals has nothing to do with using fractions...
     
  5. A Spoon

    A Spoon Well-Known Member

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    They're kinda incompatible when talking with repeating numbers.
    Strangely enough, .333 repeating DOESN'T equal 1/3.
     
  6. Frog

    Frog Well-Known Member

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    Prove it. :tongue:
     
  7. wefa

    wefa Well-Known Member

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    .3333 recurring means that the number is infinitely getting closer to 1/3 exactly but not yet, kind of like a limit. As someone said before, the number is eternally getting larger but will never reach it as each additional number will fall just short of 1/3(ie. .3, .33, .333, .3333 etc), therefore the 1/3 equivalent in decimal form is undefined.
     
  8. Frog

    Frog Well-Known Member

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    Well if you're right then that proves that 0.999 repeating doesn't equal 1 for sure.
     
  9. A Spoon

    A Spoon Well-Known Member

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    He's right.
     
  10. bOnZai

    bOnZai Well-Known Member

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    That's an old factor used in calculus. Every math scientists know that 0+ (which is 0.99999999999 ...) is considered as 1 in some ways, but not really equal to 1.
     
  11. Thierry1

    Thierry1 Well-Known Member

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    Can anybody put it in Layman's terms? I'm completely lost in this.
     
  12. Ailm

    Ailm Member

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    Well this shot right over my head! >_<
     
  13. AG Mountaineer

    AG Mountaineer Well-Known Member

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    You can't reduce a variable once you've used it as it's exact form previously in your process. You'd have to store all your values in exact form (infinite) and perform it throughout. You're reasoning is incorrect.
     
  14. blahablaheek

    blahablaheek Well-Known Member

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  15. xlink

    xlink GR's Tech Enthusiast

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    under our current mathematics ssytem a recurring number which will eventually approacha value equals that value


    if that makes any sense.


    it's like

    lim x->0 | [sin(x)]/x

    we all know that sinx/x is undefined at that point, but anyone who's taken an elementary calculus class has that memorized as fact. it's proven by the squeeze theorem.
     

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