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0.99~=1

Discussion in 'Mathematics and Physics' started by rumiam, Apr 17, 2007.

  1. rumiam

    rumiam New Member

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    0.99 -continuious- = 1
     
  2. dch222

    dch222 Member

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    So that's why I can't get my tomatoes to germinate
     
  3. Papabravo

    Papabravo Well-Known Member

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    Is there a question, or are you just trying to be an obscure PITA?
     
  4. dave

    Dave New Member

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  5. rumiam

    rumiam New Member

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    Amen dch222.....Amen
     
  6. Hero999

    Hero999 Banned

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    Your mum..
     
  7. ericgibbs

    ericgibbs Well-Known Member Most Helpful Member

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    If you are trying to suggest that 0.999' recurring is equal to the number '1', then you are not in same universe as the rest of us!

    Dont forget infinity.
     
  8. bloody-orc

    bloody-orc New Member

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    there is no number 1 in this world... it is almost 1, but not 1... x->1 (i don't know the correct english term for it, sorry).it's 0.999..9
    same for 2, 3 and all other numbers.
     
  9. Marks256

    Marks256 New Member

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    Don't understand the original post... but this does bring me to a question i have had for a long time;

    What is 1-.99(repeating) (one minus zero point nine repeating)???

    In theory it would be .[infinite number of zeros] with a one at the end, but that is really not a "usable" answer.

    What would it be?
     
  10. rumiam

    rumiam New Member

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    Do the math to prove that 0.99 -repeating- does not equal 1
    I want you to take it out to the very last decimal point to prove that it couldnt possibly be 1
     
  11. Marks256

    Marks256 New Member

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  12. Sceadwian

    Sceadwian Banned

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    Perhaps it's an obscure reference to quantization error? I mean mathematically it's obviously false, probably some even more obscure joke going around in math circles, kind of like a 'left handed smoke shifter' or '50 feet of shore line' was in the boyscouts. In any measuring system in the real world though after a certain number of decimal places the ambient noise inherant in the measurment and quantum uncertanty can make what should be .99~ appear the same as 1?
     
  13. arod

    arod New Member

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    0.999... is mathematically equivalent to 1.

    1/3 = 0.33...
    2/3 = 0.66...
    3/3 = 0.99...

    Poor man's proof

    Or you could use limits to prove this.
     
  14. ljcox

    ljcox Well-Known Member

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    0.9999 approaches 1 as the number of decimal places approaches infinity.

    0.3333 approaches 1/3 as the number of decimal places approaches infinity.

    End of story.
     
  15. gramo

    gramo New Member

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    I'm sold on that
     
  16. Pommie

    Pommie Well-Known Member Most Helpful Member

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    I remember a lecturer asking, if 1 over infinity equals zero and 1 to the power of infinity equals 1 then what is 1 plus 1 over infinity all to the power of infinity. (1+1/∞)^∞

    I was surprised at the result.

    Mike.
     
  17. gramo

    gramo New Member

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    ... And the result is lol?

    (1+1/∞)^∞

    (1+0)^∞

    (1)^∞

    1?
     
    Last edited: Apr 18, 2007
  18. Optikon

    Optikon New Member

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    1 + X = X for large values of X
    1 + 2 = 2 for large values of 2

    :D
     
  19. gramo

    gramo New Member

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    Why does 1 + X = X?

    What’s the analogy behind it?
     
  20. Sceadwian

    Sceadwian Banned

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    If X is infinity.
     
  21. gramo

    gramo New Member

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    That’s understandable, because Infinity is an undefined value.

    But 'large' values of 2 does not.

    1 + 2 = 4 For large values of 2

    Because 2.99' can be thought of as 3, as its always drawing closer to 3,

    so 1 + 3 = 4
     

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