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1 = 0

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  • C CPallini

    Quote:

    0,99999.... which is technically 1 but not 100%

    Uh?

    H Offline
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    HobbyProggy
    wrote on last edited by
    #12

    Whats the matter ?

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    C 1 Reply Last reply
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    • D Dominic Burford

      x = y. Then x2 = xy. Subtract the same thing from both sides: x2 - y2 = xy - y2. Dividing by (x-y), obtain x + y = y. Since x = y, we see that 2 y = y. Thus 2 = 1, since we started with y nonzero. Subtracting 1 from both sides, 1 = 0. :wtf:

      "There are two ways of constructing a software design: One way is to make it so simple that there are obviously no deficiencies, and the other way is to make it so complicated that there are no obvious deficiencies. The first method is far more difficult." - C.A.R. Hoare Home | LinkedIn | Google+ | Twitter

      R Offline
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      Rage
      wrote on last edited by
      #13

      Dominic Burford wrote:

      since we started with y nonzero.

      oh, the irony.

      Do not escape reality : improve reality !

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      • H HobbyProggy

        The only thing i can agree with is that 1 != 3/3 (at least not exactly) because 1/3 is 0,333... and multiplied with 3 it is just 0,99999.... which is technically 1 but not 100%

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        Nagy Vilmos
        wrote on last edited by
        #14

        if the numerator and denominator are equal then the value must be 1. Then the second part is almost right, but you missed a very important point, a recurring value is only an *approximation* rather than the absolute. 1/3 is absolute, but the decimal 0.3. is only an approximation. Proof, without bad maths of the 9's reccuring - 0.9. == 1 Multiply by 10: 9.9. = 10 Subtract the original: 9.9. - 0.9. = 9 9 = 9 QED. This is accepted as proper maths, the 1=0 using division by zero is, however, not.

        veni bibi saltavi

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        • N Nagy Vilmos

          if the numerator and denominator are equal then the value must be 1. Then the second part is almost right, but you missed a very important point, a recurring value is only an *approximation* rather than the absolute. 1/3 is absolute, but the decimal 0.3. is only an approximation. Proof, without bad maths of the 9's reccuring - 0.9. == 1 Multiply by 10: 9.9. = 10 Subtract the original: 9.9. - 0.9. = 9 9 = 9 QED. This is accepted as proper maths, the 1=0 using division by zero is, however, not.

          veni bibi saltavi

          H Offline
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          HobbyProggy
          wrote on last edited by
          #15

          Nice :) But i guess as long as we have an approximation i'll go with its not exactly 1 :P

          Nagy Vilmos wrote:

          This is accepted as proper maths, the 1=0 using division by zero is, however, not.

          I already said that in an other statement that hes wrong

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          • H HobbyProggy

            Whats the matter ?

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            CPallini
            wrote on last edited by
            #16

            0.9999... is 1.

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            • C CPallini

              0.9999... is 1.

              H Offline
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              HobbyProggy
              wrote on last edited by
              #17

              By definition, not by maths :)

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              • D Dominic Burford

                x = y. Then x2 = xy. Subtract the same thing from both sides: x2 - y2 = xy - y2. Dividing by (x-y), obtain x + y = y. Since x = y, we see that 2 y = y. Thus 2 = 1, since we started with y nonzero. Subtracting 1 from both sides, 1 = 0. :wtf:

                "There are two ways of constructing a software design: One way is to make it so simple that there are obviously no deficiencies, and the other way is to make it so complicated that there are no obvious deficiencies. The first method is far more difficult." - C.A.R. Hoare Home | LinkedIn | Google+ | Twitter

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                Marc Clifton
                wrote on last edited by
                #18

                Ah, the ol' divide by zero trick. I think my math teacher did that when I was in 8th grade. Almost 40 years ago. And I'm sure it's older than that. ;) Marc

                Imperative to Functional Programming Succinctly Contributors Wanted for Higher Order Programming Project!

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                • H HobbyProggy

                  By definition, not by maths :)

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                  CPallini
                  wrote on last edited by
                  #19

                  By maths. There's no difference.

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                  • C CPallini

                    By maths. There's no difference.

                    H Offline
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                    HobbyProggy
                    wrote on last edited by
                    #20

                    Allright, tell that the next flightcomputer that breakes down because he multiplied 0,333 and didn't get to 1 ;)

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                    • H HobbyProggy

                      Allright, tell that the next flightcomputer that breakes down because he multiplied 0,333 and didn't get to 1 ;)

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                      CPallini
                      wrote on last edited by
                      #21

                      You know, float are not real numbers. (likewise Computer Science is not Mathematics) :-D

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                      • C CPallini

                        You know, float are not real numbers. (likewise Computer Science is not Mathematics) :-D

                        H Offline
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                        HobbyProggy
                        wrote on last edited by
                        #22

                        CPallini wrote:

                        (likewise Computer Science is not Mathematics)

                        But its both logic :) And 0,999 is not 1 it's even written different :sigh: But i guess we could debate ages about that

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                        C Richard DeemingR 2 Replies Last reply
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                        • H HobbyProggy

                          CPallini wrote:

                          (likewise Computer Science is not Mathematics)

                          But its both logic :) And 0,999 is not 1 it's even written different :sigh: But i guess we could debate ages about that

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                          CPallini
                          wrote on last edited by
                          #23

                          Right: we could follow all the nines until we find a difference. :laugh:

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                          • H HobbyProggy

                            CPallini wrote:

                            (likewise Computer Science is not Mathematics)

                            But its both logic :) And 0,999 is not 1 it's even written different :sigh: But i guess we could debate ages about that

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                            Richard DeemingR Offline
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                            Richard Deeming
                            wrote on last edited by
                            #24

                            Take your pick: How Can 0.999... = 1? | Purplemath[^] For example:

                              x = 0.999...
                            

                            10x = 9.999...
                            10x - x = 9.000...
                            9x = 9
                            x = 1

                            EDIT: As Nagy said[^], 2+ hours ago.


                            "These people looked deep within my soul and assigned me a number based on the order in which I joined." - Homer

                            "These people looked deep within my soul and assigned me a number based on the order in which I joined" - Homer

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                            • Richard DeemingR Richard Deeming

                              Take your pick: How Can 0.999... = 1? | Purplemath[^] For example:

                                x = 0.999...
                              

                              10x = 9.999...
                              10x - x = 9.000...
                              9x = 9
                              x = 1

                              EDIT: As Nagy said[^], 2+ hours ago.


                              "These people looked deep within my soul and assigned me a number based on the order in which I joined." - Homer

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                              HobbyProggy
                              wrote on last edited by
                              #25

                              1/6 ->*6 0,966666666

                              x = 0,9666
                              10x = 9,6666
                              10x -x = 8,7066
                              9x = 8,7066
                              x = 0,9674

                              !

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                              • Richard DeemingR Richard Deeming

                                Take your pick: How Can 0.999... = 1? | Purplemath[^] For example:

                                  x = 0.999...
                                

                                10x = 9.999...
                                10x - x = 9.000...
                                9x = 9
                                x = 1

                                EDIT: As Nagy said[^], 2+ hours ago.


                                "These people looked deep within my soul and assigned me a number based on the order in which I joined." - Homer

                                H Offline
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                                HobbyProggy
                                wrote on last edited by
                                #26

                                1/6 = 0,166666 ->*6 0,9996

                                x = 0,9996
                                10x = 9,996
                                10x -x = 8,9964
                                9x = 8,9964
                                x = 0,9996

                                ?

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                                Richard DeemingR 1 Reply Last reply
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                                • H HobbyProggy

                                  1/6 = 0,166666 ->*6 0,9996

                                  x = 0,9996
                                  10x = 9,996
                                  10x -x = 8,9964
                                  9x = 8,9964
                                  x = 0,9996

                                  ?

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                                  Richard DeemingR Offline
                                  Richard DeemingR Offline
                                  Richard Deeming
                                  wrote on last edited by
                                  #27

                                  HobbyProggy wrote:

                                  1/6 = 0,166666 ->*6 0,9996

                                  Nope - 6 × 0.1666... = 0.9999... It's simple multiplication:

                                  1 x 6 = 6 (0.6)
                                  6 x 6 = 36 = add 3 to the column on the left (6 + 3 = 9), and put 6 in this column (0.96)
                                  6 x 6 = 36 = add 3 to the column on the left (6 + 3 = 9), and put 6 in this column (0.996)
                                  6 x 6 = 36 = add 3 to the column on the left (6 + 3 = 9), and put 6 in this column (0.9996)
                                  6 x 6 = 36 = add 3 to the column on the left (6 + 3 = 9), and put 6 in this column (0.99996)
                                  etc.

                                  Because you're repeating the operation an infinite number of times, there's no point where you stop and leave the last digit as 6. There's always another digit to the right which needs to be multiplied by 6, carrying the 3 into the current column.


                                  "These people looked deep within my soul and assigned me a number based on the order in which I joined." - Homer

                                  "These people looked deep within my soul and assigned me a number based on the order in which I joined" - Homer

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                                  • Richard DeemingR Richard Deeming

                                    HobbyProggy wrote:

                                    1/6 = 0,166666 ->*6 0,9996

                                    Nope - 6 × 0.1666... = 0.9999... It's simple multiplication:

                                    1 x 6 = 6 (0.6)
                                    6 x 6 = 36 = add 3 to the column on the left (6 + 3 = 9), and put 6 in this column (0.96)
                                    6 x 6 = 36 = add 3 to the column on the left (6 + 3 = 9), and put 6 in this column (0.996)
                                    6 x 6 = 36 = add 3 to the column on the left (6 + 3 = 9), and put 6 in this column (0.9996)
                                    6 x 6 = 36 = add 3 to the column on the left (6 + 3 = 9), and put 6 in this column (0.99996)
                                    etc.

                                    Because you're repeating the operation an infinite number of times, there's no point where you stop and leave the last digit as 6. There's always another digit to the right which needs to be multiplied by 6, carrying the 3 into the current column.


                                    "These people looked deep within my soul and assigned me a number based on the order in which I joined." - Homer

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                                    HobbyProggy
                                    wrote on last edited by
                                    #28

                                    So this works only for 0.999999 ? Because the 6 at the end is in this case important to show that it wont be a 1 in the end :) But nevermind, this is all just playing with numbers :)

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                                    Richard DeemingR N 2 Replies Last reply
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                                    • H HobbyProggy

                                      So this works only for 0.999999 ? Because the 6 at the end is in this case important to show that it wont be a 1 in the end :) But nevermind, this is all just playing with numbers :)

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                                      Richard DeemingR Offline
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                                      Richard Deeming
                                      wrote on last edited by
                                      #29

                                      HobbyProggy wrote:

                                      Because the 6 at the end is ...

                                      But there isn't a 6 at the "end", because there isn't an "end"! :laugh: Think of it like this:

                                      using System;

                                      static class Program
                                      {
                                      static void Main()
                                      {
                                      while (true)
                                      {
                                      Console.WriteLine("9");
                                      }

                                          Console.WriteLine("Squirrel!");
                                      }
                                      

                                      }

                                      If you run that program, how long will you have to wait before it prints "Squirrel"?


                                      "These people looked deep within my soul and assigned me a number based on the order in which I joined." - Homer

                                      "These people looked deep within my soul and assigned me a number based on the order in which I joined" - Homer

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                                      • Richard DeemingR Richard Deeming

                                        HobbyProggy wrote:

                                        Because the 6 at the end is ...

                                        But there isn't a 6 at the "end", because there isn't an "end"! :laugh: Think of it like this:

                                        using System;

                                        static class Program
                                        {
                                        static void Main()
                                        {
                                        while (true)
                                        {
                                        Console.WriteLine("9");
                                        }

                                            Console.WriteLine("Squirrel!");
                                        }
                                        

                                        }

                                        If you run that program, how long will you have to wait before it prints "Squirrel"?


                                        "These people looked deep within my soul and assigned me a number based on the order in which I joined." - Homer

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                                        HobbyProggy
                                        wrote on last edited by
                                        #30

                                        STACK OVERFLOW :-O nvm

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                                        • C CPallini

                                          You know, float are not real numbers. (likewise Computer Science is not Mathematics) :-D

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                                          Nelek
                                          wrote on last edited by
                                          #31

                                          Do you mean they are imaginary? :doh: :doh: :doh: This is getting more and more difficult by moments. I think I am grabbing a bier, maybe seeing it double makes it easier :rolleyes: ;P :laugh: :laugh: I'll get my coat

                                          M.D.V. ;) If something has a solution... Why do we have to worry about?. If it has no solution... For what reason do we have to worry about? Help me to understand what I'm saying, and I'll explain it better to you Rating helpful answers is nice, but saying thanks can be even nicer.

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