Divide any large number by its divisor then calculate the result to original value












0












$begingroup$


What I'm trying to do is to divide any large whole numbers then after the result a formula will convert it back to the original value:



For example:



736,778,906,400 / 10,000,000 = 73,677


700 Billion divided by 10 Million the result will be 73,677



I must find a way to convert the 73,677 back into 736,778,906,400 (the starting/original value).



Is there any formula or algorithm to do this?






discrete-mathematics







share|cite|improve this question











$endgroup$












  • $begingroup$
    This is hard to follow. Your quotient is actually $73677.89064$. You can recover the original numerator by multiplying by $10$ million. If you round the quotient then you can't recover the numerator...you've discarded information. Is that what you are asking?
    $endgroup$
    – lulu
    Dec 2 '18 at 14:27












  • $begingroup$
    @lulu yes, but when I tried to multiply the qiotient by 10 million it produces this result: 736770000000, not the exact value (like the original value).
    $endgroup$
    – Denzell
    Dec 2 '18 at 14:31










  • $begingroup$
    Right, because you discarded information when you rounded. If you don't want to discard information, don't round.
    $endgroup$
    – lulu
    Dec 2 '18 at 14:32
















0












$begingroup$


What I'm trying to do is to divide any large whole numbers then after the result a formula will convert it back to the original value:



For example:



736,778,906,400 / 10,000,000 = 73,677


700 Billion divided by 10 Million the result will be 73,677



I must find a way to convert the 73,677 back into 736,778,906,400 (the starting/original value).



Is there any formula or algorithm to do this?






discrete-mathematics







share|cite|improve this question











$endgroup$












  • $begingroup$
    This is hard to follow. Your quotient is actually $73677.89064$. You can recover the original numerator by multiplying by $10$ million. If you round the quotient then you can't recover the numerator...you've discarded information. Is that what you are asking?
    $endgroup$
    – lulu
    Dec 2 '18 at 14:27












  • $begingroup$
    @lulu yes, but when I tried to multiply the qiotient by 10 million it produces this result: 736770000000, not the exact value (like the original value).
    $endgroup$
    – Denzell
    Dec 2 '18 at 14:31










  • $begingroup$
    Right, because you discarded information when you rounded. If you don't want to discard information, don't round.
    $endgroup$
    – lulu
    Dec 2 '18 at 14:32














0












0








0





$begingroup$


What I'm trying to do is to divide any large whole numbers then after the result a formula will convert it back to the original value:



For example:



736,778,906,400 / 10,000,000 = 73,677


700 Billion divided by 10 Million the result will be 73,677



I must find a way to convert the 73,677 back into 736,778,906,400 (the starting/original value).



Is there any formula or algorithm to do this?






discrete-mathematics







share|cite|improve this question











$endgroup$




What I'm trying to do is to divide any large whole numbers then after the result a formula will convert it back to the original value:



For example:



736,778,906,400 / 10,000,000 = 73,677


700 Billion divided by 10 Million the result will be 73,677



I must find a way to convert the 73,677 back into 736,778,906,400 (the starting/original value).



Is there any formula or algorithm to do this?






discrete-mathematics




discrete-mathematics






share|cite|improve this question















share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








edited Jan 22 at 20:29









Jyrki Lahtonen

110k13171378




110k13171378










asked Dec 2 '18 at 14:22









DenzellDenzell

31




31












  • $begingroup$
    This is hard to follow. Your quotient is actually $73677.89064$. You can recover the original numerator by multiplying by $10$ million. If you round the quotient then you can't recover the numerator...you've discarded information. Is that what you are asking?
    $endgroup$
    – lulu
    Dec 2 '18 at 14:27












  • $begingroup$
    @lulu yes, but when I tried to multiply the qiotient by 10 million it produces this result: 736770000000, not the exact value (like the original value).
    $endgroup$
    – Denzell
    Dec 2 '18 at 14:31










  • $begingroup$
    Right, because you discarded information when you rounded. If you don't want to discard information, don't round.
    $endgroup$
    – lulu
    Dec 2 '18 at 14:32


















  • $begingroup$
    This is hard to follow. Your quotient is actually $73677.89064$. You can recover the original numerator by multiplying by $10$ million. If you round the quotient then you can't recover the numerator...you've discarded information. Is that what you are asking?
    $endgroup$
    – lulu
    Dec 2 '18 at 14:27












  • $begingroup$
    @lulu yes, but when I tried to multiply the qiotient by 10 million it produces this result: 736770000000, not the exact value (like the original value).
    $endgroup$
    – Denzell
    Dec 2 '18 at 14:31










  • $begingroup$
    Right, because you discarded information when you rounded. If you don't want to discard information, don't round.
    $endgroup$
    – lulu
    Dec 2 '18 at 14:32
















$begingroup$
This is hard to follow. Your quotient is actually $73677.89064$. You can recover the original numerator by multiplying by $10$ million. If you round the quotient then you can't recover the numerator...you've discarded information. Is that what you are asking?
$endgroup$
– lulu
Dec 2 '18 at 14:27






$begingroup$
This is hard to follow. Your quotient is actually $73677.89064$. You can recover the original numerator by multiplying by $10$ million. If you round the quotient then you can't recover the numerator...you've discarded information. Is that what you are asking?
$endgroup$
– lulu
Dec 2 '18 at 14:27














$begingroup$
@lulu yes, but when I tried to multiply the qiotient by 10 million it produces this result: 736770000000, not the exact value (like the original value).
$endgroup$
– Denzell
Dec 2 '18 at 14:31




$begingroup$
@lulu yes, but when I tried to multiply the qiotient by 10 million it produces this result: 736770000000, not the exact value (like the original value).
$endgroup$
– Denzell
Dec 2 '18 at 14:31












$begingroup$
Right, because you discarded information when you rounded. If you don't want to discard information, don't round.
$endgroup$
– lulu
Dec 2 '18 at 14:32




$begingroup$
Right, because you discarded information when you rounded. If you don't want to discard information, don't round.
$endgroup$
– lulu
Dec 2 '18 at 14:32










2 Answers
2






active

oldest

votes


















1












$begingroup$

First of all, you need to decide what the operation "$/$" means to you.



Now that you have decided what it means, do you agree with the equation on the next line?



$$ 736{,}770{,}000{,}000 / 10{,}000{,}000 = 73{,}677.$$



If you don't agree with that, you really need to explain what you think "$/$" means.



If you do agree with the equation, then consider this question:




Someone had a number $x,$ they performed the operation $x / 10{,}000{,}000$
according to my interpretation of the operation "$/$",
and the result was $73{,}677.$
Supposing I have been told the information in the preceding sentence but have not been told what actual number they used for $x,$ is there any way for me to determine with certainty whether the original number $x$ was $736{,}778{,}906{,}400,$
or $736{,}770{,}000{,}000,$ or possibly something else?




The answer to this question is "no," just as you cannot tell by looking at a puddle of water whether the puddle came from an ice sculpture of a unicorn that melted, or
an ice sculpture of a pineapple that melted, or something else.



The answer to your original question is then also "no."



If you don't like the answer, try explaining what this all is for.
People usually don't just go around dividing large numbers by ten million;
it seems likely you have some larger task that this is part of.
If you do, perhaps someone can suggest a better way to do things.






share|cite|improve this answer









$endgroup$





















    0












    $begingroup$

    I just realised from the answer that when you divided:



    $$ dfrac{736,778,906,400}{ 10,000,000} = 73,677 $$



    But you discarded the decimal part, so your answer is actually



    $$ dfrac{736,778,906,400}{ 10,000,000} = 73,677.8906400 $$



    You can convert it to orginal by multiplying $10 text{ million}$.






    share|cite|improve this answer









    $endgroup$













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      2 Answers
      2






      active

      oldest

      votes








      2 Answers
      2






      active

      oldest

      votes









      active

      oldest

      votes






      active

      oldest

      votes









      1












      $begingroup$

      First of all, you need to decide what the operation "$/$" means to you.



      Now that you have decided what it means, do you agree with the equation on the next line?



      $$ 736{,}770{,}000{,}000 / 10{,}000{,}000 = 73{,}677.$$



      If you don't agree with that, you really need to explain what you think "$/$" means.



      If you do agree with the equation, then consider this question:




      Someone had a number $x,$ they performed the operation $x / 10{,}000{,}000$
      according to my interpretation of the operation "$/$",
      and the result was $73{,}677.$
      Supposing I have been told the information in the preceding sentence but have not been told what actual number they used for $x,$ is there any way for me to determine with certainty whether the original number $x$ was $736{,}778{,}906{,}400,$
      or $736{,}770{,}000{,}000,$ or possibly something else?




      The answer to this question is "no," just as you cannot tell by looking at a puddle of water whether the puddle came from an ice sculpture of a unicorn that melted, or
      an ice sculpture of a pineapple that melted, or something else.



      The answer to your original question is then also "no."



      If you don't like the answer, try explaining what this all is for.
      People usually don't just go around dividing large numbers by ten million;
      it seems likely you have some larger task that this is part of.
      If you do, perhaps someone can suggest a better way to do things.






      share|cite|improve this answer









      $endgroup$


















        1












        $begingroup$

        First of all, you need to decide what the operation "$/$" means to you.



        Now that you have decided what it means, do you agree with the equation on the next line?



        $$ 736{,}770{,}000{,}000 / 10{,}000{,}000 = 73{,}677.$$



        If you don't agree with that, you really need to explain what you think "$/$" means.



        If you do agree with the equation, then consider this question:




        Someone had a number $x,$ they performed the operation $x / 10{,}000{,}000$
        according to my interpretation of the operation "$/$",
        and the result was $73{,}677.$
        Supposing I have been told the information in the preceding sentence but have not been told what actual number they used for $x,$ is there any way for me to determine with certainty whether the original number $x$ was $736{,}778{,}906{,}400,$
        or $736{,}770{,}000{,}000,$ or possibly something else?




        The answer to this question is "no," just as you cannot tell by looking at a puddle of water whether the puddle came from an ice sculpture of a unicorn that melted, or
        an ice sculpture of a pineapple that melted, or something else.



        The answer to your original question is then also "no."



        If you don't like the answer, try explaining what this all is for.
        People usually don't just go around dividing large numbers by ten million;
        it seems likely you have some larger task that this is part of.
        If you do, perhaps someone can suggest a better way to do things.






        share|cite|improve this answer









        $endgroup$
















          1












          1








          1





          $begingroup$

          First of all, you need to decide what the operation "$/$" means to you.



          Now that you have decided what it means, do you agree with the equation on the next line?



          $$ 736{,}770{,}000{,}000 / 10{,}000{,}000 = 73{,}677.$$



          If you don't agree with that, you really need to explain what you think "$/$" means.



          If you do agree with the equation, then consider this question:




          Someone had a number $x,$ they performed the operation $x / 10{,}000{,}000$
          according to my interpretation of the operation "$/$",
          and the result was $73{,}677.$
          Supposing I have been told the information in the preceding sentence but have not been told what actual number they used for $x,$ is there any way for me to determine with certainty whether the original number $x$ was $736{,}778{,}906{,}400,$
          or $736{,}770{,}000{,}000,$ or possibly something else?




          The answer to this question is "no," just as you cannot tell by looking at a puddle of water whether the puddle came from an ice sculpture of a unicorn that melted, or
          an ice sculpture of a pineapple that melted, or something else.



          The answer to your original question is then also "no."



          If you don't like the answer, try explaining what this all is for.
          People usually don't just go around dividing large numbers by ten million;
          it seems likely you have some larger task that this is part of.
          If you do, perhaps someone can suggest a better way to do things.






          share|cite|improve this answer









          $endgroup$



          First of all, you need to decide what the operation "$/$" means to you.



          Now that you have decided what it means, do you agree with the equation on the next line?



          $$ 736{,}770{,}000{,}000 / 10{,}000{,}000 = 73{,}677.$$



          If you don't agree with that, you really need to explain what you think "$/$" means.



          If you do agree with the equation, then consider this question:




          Someone had a number $x,$ they performed the operation $x / 10{,}000{,}000$
          according to my interpretation of the operation "$/$",
          and the result was $73{,}677.$
          Supposing I have been told the information in the preceding sentence but have not been told what actual number they used for $x,$ is there any way for me to determine with certainty whether the original number $x$ was $736{,}778{,}906{,}400,$
          or $736{,}770{,}000{,}000,$ or possibly something else?




          The answer to this question is "no," just as you cannot tell by looking at a puddle of water whether the puddle came from an ice sculpture of a unicorn that melted, or
          an ice sculpture of a pineapple that melted, or something else.



          The answer to your original question is then also "no."



          If you don't like the answer, try explaining what this all is for.
          People usually don't just go around dividing large numbers by ten million;
          it seems likely you have some larger task that this is part of.
          If you do, perhaps someone can suggest a better way to do things.







          share|cite|improve this answer












          share|cite|improve this answer



          share|cite|improve this answer










          answered Dec 2 '18 at 15:23









          David KDavid K

          54.8k343120




          54.8k343120























              0












              $begingroup$

              I just realised from the answer that when you divided:



              $$ dfrac{736,778,906,400}{ 10,000,000} = 73,677 $$



              But you discarded the decimal part, so your answer is actually



              $$ dfrac{736,778,906,400}{ 10,000,000} = 73,677.8906400 $$



              You can convert it to orginal by multiplying $10 text{ million}$.






              share|cite|improve this answer









              $endgroup$


















                0












                $begingroup$

                I just realised from the answer that when you divided:



                $$ dfrac{736,778,906,400}{ 10,000,000} = 73,677 $$



                But you discarded the decimal part, so your answer is actually



                $$ dfrac{736,778,906,400}{ 10,000,000} = 73,677.8906400 $$



                You can convert it to orginal by multiplying $10 text{ million}$.






                share|cite|improve this answer









                $endgroup$
















                  0












                  0








                  0





                  $begingroup$

                  I just realised from the answer that when you divided:



                  $$ dfrac{736,778,906,400}{ 10,000,000} = 73,677 $$



                  But you discarded the decimal part, so your answer is actually



                  $$ dfrac{736,778,906,400}{ 10,000,000} = 73,677.8906400 $$



                  You can convert it to orginal by multiplying $10 text{ million}$.






                  share|cite|improve this answer









                  $endgroup$



                  I just realised from the answer that when you divided:



                  $$ dfrac{736,778,906,400}{ 10,000,000} = 73,677 $$



                  But you discarded the decimal part, so your answer is actually



                  $$ dfrac{736,778,906,400}{ 10,000,000} = 73,677.8906400 $$



                  You can convert it to orginal by multiplying $10 text{ million}$.







                  share|cite|improve this answer












                  share|cite|improve this answer



                  share|cite|improve this answer










                  answered Dec 2 '18 at 14:46









                  Lakshya SinhaLakshya Sinha

                  724




                  724






























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