Another proof that dividing by 0 does not exist — is it right? The Next CEO of Stack OverflowIntuitive understanding of the uniqueness of the Fundamental Theorem of Arithmetic.Understanding the proof that uses Pumping Lemma that the language $C =w mid w$ has an equal number of $0$'s and $1$'s$$ is not regularOn the proof that every positive continuous random variable with the memoryless property is exponentially distributedProve that every element in $mathbbZ_p setminus left0right$, $p$ prime has a multiplicative inverseFind all possible positive integers $n$ such that $3^n-1 + 5^n-1 mid 3^n + 5^n $. Proof explanationProof that composite function does not exist.Proof that $sqrt2$ is irrationalShow that $langle Xrangle$ is the unique maximal ideal of $F[[X]]$.The sum of two odd numbers is evenHow to prove that $-x$ is not equal to $x$ just because they yield the same result when in $x^2$

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



The Next CEO of Stack OverflowIntuitive understanding of the uniqueness of the Fundamental Theorem of Arithmetic.Understanding the proof that uses Pumping Lemma that the language $C =w mid w$ has an equal number of $0$'s and $1$'s$$ is not regularOn the proof that every positive continuous random variable with the memoryless property is exponentially distributedProve that every element in $mathbbZ_p setminus left0right$, $p$ prime has a multiplicative inverseFind all possible positive integers $n$ such that $3^n-1 + 5^n-1 mid 3^n + 5^n $. Proof explanationProof that composite function does not exist.Proof that $sqrt2$ is irrationalShow that $langle Xrangle$ is the unique maximal ideal of $F[[X]]$.The sum of two odd numbers is evenHow to prove that $-x$ is not equal to $x$ just because they yield the same result when in $x^2$










4












$begingroup$


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-explanation







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
    1 hour ago















4












$begingroup$


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-explanation







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
    1 hour ago













4












4








4





$begingroup$


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-explanation







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-explanation




proof-explanation






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 31 mins ago









J. W. Tanner

4,2361320




4,2361320






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 1 hour ago









Selim Jean ElliehSelim Jean Ellieh

313




313




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
    1 hour ago
















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















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




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










2 Answers
2






active

oldest

votes


















6












$begingroup$

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









$endgroup$




















    1












    $begingroup$

    Yes . . . and no.



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






    share|cite|improve this answer











    $endgroup$








    • 2




      $begingroup$
      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
      1 hour ago






    • 1




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






    • 1




      $begingroup$
      What d'you think, @SelimJeanEllieh?
      $endgroup$
      – Shaun
      1 hour ago






    • 1




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










    • $begingroup$
      Ye I'm understanding but i did not understand anything from thos wheel theory
      $endgroup$
      – Selim Jean Ellieh
      1 hour ago











    Your Answer





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    2 Answers
    2






    active

    oldest

    votes








    2 Answers
    2






    active

    oldest

    votes









    active

    oldest

    votes






    active

    oldest

    votes









    6












    $begingroup$

    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









    $endgroup$

















      6












      $begingroup$

      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









      $endgroup$















        6












        6








        6





        $begingroup$

        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 1 hour ago









        ArthurArthur

        121k7121207




        121k7121207





















            1












            $begingroup$

            Yes . . . and no.



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






            share|cite|improve this answer











            $endgroup$








            • 2




              $begingroup$
              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
              1 hour ago






            • 1




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






            • 1




              $begingroup$
              What d'you think, @SelimJeanEllieh?
              $endgroup$
              – Shaun
              1 hour ago






            • 1




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










            • $begingroup$
              Ye I'm understanding but i did not understand anything from thos wheel theory
              $endgroup$
              – Selim Jean Ellieh
              1 hour ago















            1












            $begingroup$

            Yes . . . and no.



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






            share|cite|improve this answer











            $endgroup$








            • 2




              $begingroup$
              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
              1 hour ago






            • 1




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






            • 1




              $begingroup$
              What d'you think, @SelimJeanEllieh?
              $endgroup$
              – Shaun
              1 hour ago






            • 1




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










            • $begingroup$
              Ye I'm understanding but i did not understand anything from thos wheel theory
              $endgroup$
              – Selim Jean Ellieh
              1 hour ago













            1












            1








            1





            $begingroup$

            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 1 hour ago

























            answered 1 hour ago









            ShaunShaun

            9,883113684




            9,883113684







            • 2




              $begingroup$
              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
              1 hour ago






            • 1




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






            • 1




              $begingroup$
              What d'you think, @SelimJeanEllieh?
              $endgroup$
              – Shaun
              1 hour ago






            • 1




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










            • $begingroup$
              Ye I'm understanding but i did not understand anything from thos wheel theory
              $endgroup$
              – Selim Jean Ellieh
              1 hour ago












            • 2




              $begingroup$
              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
              1 hour ago






            • 1




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






            • 1




              $begingroup$
              What d'you think, @SelimJeanEllieh?
              $endgroup$
              – Shaun
              1 hour ago






            • 1




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










            • $begingroup$
              Ye I'm understanding but i did not understand anything from thos wheel theory
              $endgroup$
              – Selim Jean Ellieh
              1 hour ago







            2




            2




            $begingroup$
            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
            1 hour 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
            1 hour ago




            1




            1




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




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




            1




            1




            $begingroup$
            What d'you think, @SelimJeanEllieh?
            $endgroup$
            – Shaun
            1 hour ago




            $begingroup$
            What d'you think, @SelimJeanEllieh?
            $endgroup$
            – Shaun
            1 hour ago




            1




            1




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




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












            $begingroup$
            Ye I'm understanding but i did not understand anything from thos wheel theory
            $endgroup$
            – Selim Jean Ellieh
            1 hour ago




            $begingroup$
            Ye I'm understanding but i did not understand anything from thos wheel theory
            $endgroup$
            – Selim Jean Ellieh
            1 hour ago










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









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












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











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














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