Another proof that dividing by 0 does not exist — is it right? The Next CEO of Stack OverflowProof that $Bbb Z$ has no other subring than itselfHelp understanding this proof - sqrt(2) is irrationalProof for uniqueness for ideal multiplicationMy proof that an n digit number, times an n digit number can be expressed as a 2n digit numbershowing that no repunit is a square - proof verificationUsing induction, prove that $(3^2^n -1)$ is divisible by $2^n+2$ but not by $2^n+3$.Proof that $sqrt2$ is irrationalProof that no group of order $525$ is simpleIs my proof that this limit does not exist correct?Proof of infinitude of the number of primes of the form $4k+1$

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Another proof that dividing by 0 does not exist — is it right?



The Next CEO of Stack OverflowProof that $Bbb Z$ has no other subring than itselfHelp understanding this proof - sqrt(2) is irrationalProof for uniqueness for ideal multiplicationMy proof that an n digit number, times an n digit number can be expressed as a 2n digit numbershowing that no repunit is a square - proof verificationUsing induction, prove that $(3^2^n -1)$ is divisible by $2^n+2$ but not by $2^n+3$.Proof that $sqrt2$ is irrationalProof that no group of order $525$ is simpleIs my proof that this limit does not exist correct?Proof of infinitude of the number of primes of the form $4k+1$










9












$begingroup$


Ok I am in grade 9 and I am maybe too young for this.



But I thought about this, why dividing by 0 is impossible.



Dividing by 0 is possible would mean 1/0 is possible, which would mean 0 has a multiplaction inverse.



So if we multiplicate a number by 0 then by 1/0 we get the same number.



But thats impossible because all numbers multiplicated by 0 gives 0 therfore we cant have an inverse for 0 that gives us the initial number and thus division by 0 is impossible



Is this right?






proof-verification







share|cite|improve this question









New contributor




Selim Jean Ellieh is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.







$endgroup$











  • $begingroup$
    Sometimes division by zero is defined, such as in the extended complex plane.
    $endgroup$
    – Shaun
    3 hours ago















9












$begingroup$


Ok I am in grade 9 and I am maybe too young for this.



But I thought about this, why dividing by 0 is impossible.



Dividing by 0 is possible would mean 1/0 is possible, which would mean 0 has a multiplaction inverse.



So if we multiplicate a number by 0 then by 1/0 we get the same number.



But thats impossible because all numbers multiplicated by 0 gives 0 therfore we cant have an inverse for 0 that gives us the initial number and thus division by 0 is impossible



Is this right?






proof-verification







share|cite|improve this question









New contributor




Selim Jean Ellieh is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.







$endgroup$











  • $begingroup$
    Sometimes division by zero is defined, such as in the extended complex plane.
    $endgroup$
    – Shaun
    3 hours ago













9












9








9





$begingroup$


Ok I am in grade 9 and I am maybe too young for this.



But I thought about this, why dividing by 0 is impossible.



Dividing by 0 is possible would mean 1/0 is possible, which would mean 0 has a multiplaction inverse.



So if we multiplicate a number by 0 then by 1/0 we get the same number.



But thats impossible because all numbers multiplicated by 0 gives 0 therfore we cant have an inverse for 0 that gives us the initial number and thus division by 0 is impossible



Is this right?






proof-verification







share|cite|improve this question









New contributor




Selim Jean Ellieh is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.







$endgroup$




Ok I am in grade 9 and I am maybe too young for this.



But I thought about this, why dividing by 0 is impossible.



Dividing by 0 is possible would mean 1/0 is possible, which would mean 0 has a multiplaction inverse.



So if we multiplicate a number by 0 then by 1/0 we get the same number.



But thats impossible because all numbers multiplicated by 0 gives 0 therfore we cant have an inverse for 0 that gives us the initial number and thus division by 0 is impossible



Is this right?






proof-verification




proof-verification






share|cite|improve this question









New contributor




Selim Jean Ellieh is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.











share|cite|improve this question









New contributor




Selim Jean Ellieh is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.









share|cite|improve this question




share|cite|improve this question








edited 1 hour ago









Shaun

9,903113684




9,903113684






New contributor




Selim Jean Ellieh is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.









asked 3 hours ago









Selim Jean ElliehSelim Jean Ellieh

563




563




New contributor




Selim Jean Ellieh is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.





New contributor





Selim Jean Ellieh is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.






Selim Jean Ellieh is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.











  • $begingroup$
    Sometimes division by zero is defined, such as in the extended complex plane.
    $endgroup$
    – Shaun
    3 hours ago
















  • $begingroup$
    Sometimes division by zero is defined, such as in the extended complex plane.
    $endgroup$
    – Shaun
    3 hours ago















$begingroup$
Sometimes division by zero is defined, such as in the extended complex plane.
$endgroup$
– Shaun
3 hours ago




$begingroup$
Sometimes division by zero is defined, such as in the extended complex plane.
$endgroup$
– Shaun
3 hours ago










2 Answers
2






active

oldest

votes


















13












$begingroup$

That's the most basic reason that division by $0$ is usually considered to be a Bad Thing, yes. Because if we did allow dividing by $0$, we would have to give up at least of one of the following things (these are usually considered Very Nice):



  • What $1$ means ($1cdot a = a$ for any $a$)

  • What $0$ means ($0 cdot a = 0$ for any $a$)

  • What division means ($frac ab = c$ means $a = ccdot b$)





share|cite|improve this answer









$endgroup$




















    3












    $begingroup$

    Yes . . . and no.



    You might be interested in, for example, Wheel Theory, where division by zero is defined.






    share|cite|improve this answer











    $endgroup$








    • 7




      $begingroup$
      You think this is very relevant for a ninth grader? I mean, it might be cool to know it's out there, but does this really answer the question that is asked?
      $endgroup$
      – Arthur
      3 hours ago






    • 1




      $begingroup$
      That's a fair comment, @Arthur. Thank you for the feedback.
      $endgroup$
      – Shaun
      3 hours ago






    • 1




      $begingroup$
      What d'you think, @SelimJeanEllieh?
      $endgroup$
      – Shaun
      3 hours ago






    • 1




      $begingroup$
      Oh: The OP has insufficient rep to comment. Nevermind.
      $endgroup$
      – Shaun
      3 hours ago






    • 1




      $begingroup$
      @Arthur I think this is extremely relevant. It shows that division by zero isn't some sort of sacred thing that we must not touch, it's just contradictory to the three Very Nice things in your post, and there are systems of "multiplication" and "division" out there where we are allowed to divide by zero. +1 for this answer.
      $endgroup$
      – YiFan
      39 mins ago











    Your Answer





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    2 Answers
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    active

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    2 Answers
    2






    active

    oldest

    votes









    active

    oldest

    votes






    active

    oldest

    votes









    13












    $begingroup$

    That's the most basic reason that division by $0$ is usually considered to be a Bad Thing, yes. Because if we did allow dividing by $0$, we would have to give up at least of one of the following things (these are usually considered Very Nice):



    • What $1$ means ($1cdot a = a$ for any $a$)

    • What $0$ means ($0 cdot a = 0$ for any $a$)

    • What division means ($frac ab = c$ means $a = ccdot b$)





    share|cite|improve this answer









    $endgroup$

















      13












      $begingroup$

      That's the most basic reason that division by $0$ is usually considered to be a Bad Thing, yes. Because if we did allow dividing by $0$, we would have to give up at least of one of the following things (these are usually considered Very Nice):



      • What $1$ means ($1cdot a = a$ for any $a$)

      • What $0$ means ($0 cdot a = 0$ for any $a$)

      • What division means ($frac ab = c$ means $a = ccdot b$)





      share|cite|improve this answer









      $endgroup$















        13












        13








        13





        $begingroup$

        That's the most basic reason that division by $0$ is usually considered to be a Bad Thing, yes. Because if we did allow dividing by $0$, we would have to give up at least of one of the following things (these are usually considered Very Nice):



        • What $1$ means ($1cdot a = a$ for any $a$)

        • What $0$ means ($0 cdot a = 0$ for any $a$)

        • What division means ($frac ab = c$ means $a = ccdot b$)





        share|cite|improve this answer









        $endgroup$



        That's the most basic reason that division by $0$ is usually considered to be a Bad Thing, yes. Because if we did allow dividing by $0$, we would have to give up at least of one of the following things (these are usually considered Very Nice):



        • What $1$ means ($1cdot a = a$ for any $a$)

        • What $0$ means ($0 cdot a = 0$ for any $a$)

        • What division means ($frac ab = c$ means $a = ccdot b$)






        share|cite|improve this answer












        share|cite|improve this answer



        share|cite|improve this answer










        answered 3 hours ago









        ArthurArthur

        121k7121208




        121k7121208





















            3












            $begingroup$

            Yes . . . and no.



            You might be interested in, for example, Wheel Theory, where division by zero is defined.






            share|cite|improve this answer











            $endgroup$








            • 7




              $begingroup$
              You think this is very relevant for a ninth grader? I mean, it might be cool to know it's out there, but does this really answer the question that is asked?
              $endgroup$
              – Arthur
              3 hours ago






            • 1




              $begingroup$
              That's a fair comment, @Arthur. Thank you for the feedback.
              $endgroup$
              – Shaun
              3 hours ago






            • 1




              $begingroup$
              What d'you think, @SelimJeanEllieh?
              $endgroup$
              – Shaun
              3 hours ago






            • 1




              $begingroup$
              Oh: The OP has insufficient rep to comment. Nevermind.
              $endgroup$
              – Shaun
              3 hours ago






            • 1




              $begingroup$
              @Arthur I think this is extremely relevant. It shows that division by zero isn't some sort of sacred thing that we must not touch, it's just contradictory to the three Very Nice things in your post, and there are systems of "multiplication" and "division" out there where we are allowed to divide by zero. +1 for this answer.
              $endgroup$
              – YiFan
              39 mins ago















            3












            $begingroup$

            Yes . . . and no.



            You might be interested in, for example, Wheel Theory, where division by zero is defined.






            share|cite|improve this answer











            $endgroup$








            • 7




              $begingroup$
              You think this is very relevant for a ninth grader? I mean, it might be cool to know it's out there, but does this really answer the question that is asked?
              $endgroup$
              – Arthur
              3 hours ago






            • 1




              $begingroup$
              That's a fair comment, @Arthur. Thank you for the feedback.
              $endgroup$
              – Shaun
              3 hours ago






            • 1




              $begingroup$
              What d'you think, @SelimJeanEllieh?
              $endgroup$
              – Shaun
              3 hours ago






            • 1




              $begingroup$
              Oh: The OP has insufficient rep to comment. Nevermind.
              $endgroup$
              – Shaun
              3 hours ago






            • 1




              $begingroup$
              @Arthur I think this is extremely relevant. It shows that division by zero isn't some sort of sacred thing that we must not touch, it's just contradictory to the three Very Nice things in your post, and there are systems of "multiplication" and "division" out there where we are allowed to divide by zero. +1 for this answer.
              $endgroup$
              – YiFan
              39 mins ago













            3












            3








            3





            $begingroup$

            Yes . . . and no.



            You might be interested in, for example, Wheel Theory, where division by zero is defined.






            share|cite|improve this answer











            $endgroup$



            Yes . . . and no.



            You might be interested in, for example, Wheel Theory, where division by zero is defined.







            share|cite|improve this answer














            share|cite|improve this answer



            share|cite|improve this answer








            edited 3 hours ago

























            answered 3 hours ago









            ShaunShaun

            9,903113684




            9,903113684







            • 7




              $begingroup$
              You think this is very relevant for a ninth grader? I mean, it might be cool to know it's out there, but does this really answer the question that is asked?
              $endgroup$
              – Arthur
              3 hours ago






            • 1




              $begingroup$
              That's a fair comment, @Arthur. Thank you for the feedback.
              $endgroup$
              – Shaun
              3 hours ago






            • 1




              $begingroup$
              What d'you think, @SelimJeanEllieh?
              $endgroup$
              – Shaun
              3 hours ago






            • 1




              $begingroup$
              Oh: The OP has insufficient rep to comment. Nevermind.
              $endgroup$
              – Shaun
              3 hours ago






            • 1




              $begingroup$
              @Arthur I think this is extremely relevant. It shows that division by zero isn't some sort of sacred thing that we must not touch, it's just contradictory to the three Very Nice things in your post, and there are systems of "multiplication" and "division" out there where we are allowed to divide by zero. +1 for this answer.
              $endgroup$
              – YiFan
              39 mins ago












            • 7




              $begingroup$
              You think this is very relevant for a ninth grader? I mean, it might be cool to know it's out there, but does this really answer the question that is asked?
              $endgroup$
              – Arthur
              3 hours ago






            • 1




              $begingroup$
              That's a fair comment, @Arthur. Thank you for the feedback.
              $endgroup$
              – Shaun
              3 hours ago






            • 1




              $begingroup$
              What d'you think, @SelimJeanEllieh?
              $endgroup$
              – Shaun
              3 hours ago






            • 1




              $begingroup$
              Oh: The OP has insufficient rep to comment. Nevermind.
              $endgroup$
              – Shaun
              3 hours ago






            • 1




              $begingroup$
              @Arthur I think this is extremely relevant. It shows that division by zero isn't some sort of sacred thing that we must not touch, it's just contradictory to the three Very Nice things in your post, and there are systems of "multiplication" and "division" out there where we are allowed to divide by zero. +1 for this answer.
              $endgroup$
              – YiFan
              39 mins ago







            7




            7




            $begingroup$
            You think this is very relevant for a ninth grader? I mean, it might be cool to know it's out there, but does this really answer the question that is asked?
            $endgroup$
            – Arthur
            3 hours ago




            $begingroup$
            You think this is very relevant for a ninth grader? I mean, it might be cool to know it's out there, but does this really answer the question that is asked?
            $endgroup$
            – Arthur
            3 hours ago




            1




            1




            $begingroup$
            That's a fair comment, @Arthur. Thank you for the feedback.
            $endgroup$
            – Shaun
            3 hours ago




            $begingroup$
            That's a fair comment, @Arthur. Thank you for the feedback.
            $endgroup$
            – Shaun
            3 hours ago




            1




            1




            $begingroup$
            What d'you think, @SelimJeanEllieh?
            $endgroup$
            – Shaun
            3 hours ago




            $begingroup$
            What d'you think, @SelimJeanEllieh?
            $endgroup$
            – Shaun
            3 hours ago




            1




            1




            $begingroup$
            Oh: The OP has insufficient rep to comment. Nevermind.
            $endgroup$
            – Shaun
            3 hours ago




            $begingroup$
            Oh: The OP has insufficient rep to comment. Nevermind.
            $endgroup$
            – Shaun
            3 hours ago




            1




            1




            $begingroup$
            @Arthur I think this is extremely relevant. It shows that division by zero isn't some sort of sacred thing that we must not touch, it's just contradictory to the three Very Nice things in your post, and there are systems of "multiplication" and "division" out there where we are allowed to divide by zero. +1 for this answer.
            $endgroup$
            – YiFan
            39 mins ago




            $begingroup$
            @Arthur I think this is extremely relevant. It shows that division by zero isn't some sort of sacred thing that we must not touch, it's just contradictory to the three Very Nice things in your post, and there are systems of "multiplication" and "division" out there where we are allowed to divide by zero. +1 for this answer.
            $endgroup$
            – YiFan
            39 mins ago










            Selim Jean Ellieh is a new contributor. Be nice, and check out our Code of Conduct.









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