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0.9999... = 1

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  • 0.9999... = 1

    To find the difference between two numbers, you subtract, right?

    So if we take .999 repeating to infinity and subtract it from 1, we get .000 repeating to infinity. The theoretical .01 on the "end" of the chain never appears. Hence, we find that the difference between .999~ and 1 is .000~, or simply 0. Therefore, 1 and .999~ are the same number.

    .999~=1

    OR

    Let x = 0.999999999999~

    10x = 9.999999999999~

    Subtract (x) from 10x:

    10x = 9.99999999~
    -x = .99999999~

    Which means...
    9x = 9

    Which means... x = 1


    So, therefore, 0.999999~ is the same number as 1.

    Thank you Skywalker for the Marshall sig!
    sigpic

    Thank you Damien and Darrent for the memories. You will never be forgotten!

  • #2
    there is life on mars..
    sigpic

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    • #3
      Originally posted by DawgFanatic
      there is life on mars..
      Just saying, it's interesting.

      Thank you Skywalker for the Marshall sig!
      sigpic

      Thank you Damien and Darrent for the memories. You will never be forgotten!

      Comment


      • #4
        Originally posted by McKeough
        To find the difference between two numbers, you subtract, right?

        So if we take .999 repeating to infinity and subtract it from 1, we get .000 repeating to infinity. The theoretical .01 on the "end" of the chain never appears. Hence, we find that the difference between .999~ and 1 is .000~, or simply 0. Therefore, 1 and .999~ are the same number.

        .999~=1

        OR

        Let x = 0.999999999999~

        10x = 9.999999999999~

        Subtract (x) from 10x:

        10x = 9.99999999~
        -x = .99999999~

        Which means...
        9x = 9

        Which means... x = 1


        So, therefore, 0.999999~ is the same number as 1.



        bored ?
        [URL=http://s93.photobucket.com/user/Saddletramp69/media/asdf.jpg.html][/URL
        Adopted player Lindsey

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        • #5
          Originally posted by Saddletramp
          bored ?
          Maybe a tad.

          Thank you Skywalker for the Marshall sig!
          sigpic

          Thank you Damien and Darrent for the memories. You will never be forgotten!

          Comment


          • #6
            Originally posted by McKeough
            Maybe a tad.
            a tad ?


            would hate to se a lot then.
            [URL=http://s93.photobucket.com/user/Saddletramp69/media/asdf.jpg.html][/URL
            Adopted player Lindsey

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            • #7
              there once was a time...

              a time when crapes were considered to be pancakes...

              that i was good at maths...

              but this is not the time nor the place...

              :nono:

              sigpic

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              • #8
                Haha I learned that last year in 7th grade.

                Comment


                • #9
                  i actually read about this on wikipedia about 2 months ago..
                  sig pic removed by mod staff.
                  we do not allow site advertising.

                  Comment


                  • #10
                    BREAKING NEWS!!!!!: THIS JUST IN!, we have landed on the moon.

                    Comment


                    • #11
                      Here's one for all of you smarty pants that I just got done studying.

                      F=-kx
                      Originally posted by Soldier96B
                      i also took a crap and it was orange

                      Comment


                      • #12
                        2+2 = 5

                        Argue all you want but I'm right.

                        Comment


                        • #13
                          Originally posted by xX-Bronco-Xx
                          2+2 = 5

                          Argue all you want but I'm right.
                          Why would anyone argue with that?
                          Originally posted by Soldier96B
                          i also took a crap and it was orange

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                          • #14
                            10x = 9.99999999~
                            -x = .99999999~

                            wrong.


                            Go Cougs! Go Broncos!

                            Thanks tons Broncosfreak_56!

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                            • #15
                              Originally posted by SeeingRed
                              Why would anyone argue with that?
                              cos they were touched by uncles as children...


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