Find it hard to do long division $10000 /0.08$












2












$begingroup$


Sorry if this is very basic! But I can't seem to do something like



$10000 /0.08$, without a calculator. How would one go about solving this without a calculator?










share|cite|improve this question









New contributor




natalie99 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.







$endgroup$












  • $begingroup$
    Multiply both the numerator and denominator by $100$ to get $1000000/8$, then divide.
    $endgroup$
    – N. F. Taussig
    Apr 21 at 10:11






  • 1




    $begingroup$
    Observe that $0.08 = frac {8} {100}.$ So we have $$frac {10000} {0.08} = frac {10000 times 100} {8}.$$ Can you proceed now?
    $endgroup$
    – Dbchatto67
    Apr 21 at 10:12












  • $begingroup$
    So, now how many 8's go int 1 million? I don't know how to even do that without a calculator
    $endgroup$
    – natalie99
    Apr 21 at 10:18










  • $begingroup$
    Firstly: Dividing by $8$ is three times dividing by $2$. Consequently, $1000:2=500$, $1000:4=(1000:2):2)=500:2=250$ and $$1000:8=((1000:2):2):2=(500:2):2=250:2=125.$$ Secondly, learn these quotients by heart: every humanistically educated human being should know how much a half, a quarter and an eighth of $1000$ is. As well as that a day has $86400$ seconds ...
    $endgroup$
    – Michael Hoppe
    Apr 21 at 11:32


















2












$begingroup$


Sorry if this is very basic! But I can't seem to do something like



$10000 /0.08$, without a calculator. How would one go about solving this without a calculator?










share|cite|improve this question









New contributor




natalie99 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.







$endgroup$












  • $begingroup$
    Multiply both the numerator and denominator by $100$ to get $1000000/8$, then divide.
    $endgroup$
    – N. F. Taussig
    Apr 21 at 10:11






  • 1




    $begingroup$
    Observe that $0.08 = frac {8} {100}.$ So we have $$frac {10000} {0.08} = frac {10000 times 100} {8}.$$ Can you proceed now?
    $endgroup$
    – Dbchatto67
    Apr 21 at 10:12












  • $begingroup$
    So, now how many 8's go int 1 million? I don't know how to even do that without a calculator
    $endgroup$
    – natalie99
    Apr 21 at 10:18










  • $begingroup$
    Firstly: Dividing by $8$ is three times dividing by $2$. Consequently, $1000:2=500$, $1000:4=(1000:2):2)=500:2=250$ and $$1000:8=((1000:2):2):2=(500:2):2=250:2=125.$$ Secondly, learn these quotients by heart: every humanistically educated human being should know how much a half, a quarter and an eighth of $1000$ is. As well as that a day has $86400$ seconds ...
    $endgroup$
    – Michael Hoppe
    Apr 21 at 11:32
















2












2








2





$begingroup$


Sorry if this is very basic! But I can't seem to do something like



$10000 /0.08$, without a calculator. How would one go about solving this without a calculator?










share|cite|improve this question









New contributor




natalie99 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.







$endgroup$




Sorry if this is very basic! But I can't seem to do something like



$10000 /0.08$, without a calculator. How would one go about solving this without a calculator?







arithmetic






share|cite|improve this question









New contributor




natalie99 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




natalie99 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 Apr 21 at 12:59









YuiTo Cheng

2,90141139




2,90141139






New contributor




natalie99 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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asked Apr 21 at 10:07









natalie99natalie99

132




132




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natalie99 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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New contributor





natalie99 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.






natalie99 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.












  • $begingroup$
    Multiply both the numerator and denominator by $100$ to get $1000000/8$, then divide.
    $endgroup$
    – N. F. Taussig
    Apr 21 at 10:11






  • 1




    $begingroup$
    Observe that $0.08 = frac {8} {100}.$ So we have $$frac {10000} {0.08} = frac {10000 times 100} {8}.$$ Can you proceed now?
    $endgroup$
    – Dbchatto67
    Apr 21 at 10:12












  • $begingroup$
    So, now how many 8's go int 1 million? I don't know how to even do that without a calculator
    $endgroup$
    – natalie99
    Apr 21 at 10:18










  • $begingroup$
    Firstly: Dividing by $8$ is three times dividing by $2$. Consequently, $1000:2=500$, $1000:4=(1000:2):2)=500:2=250$ and $$1000:8=((1000:2):2):2=(500:2):2=250:2=125.$$ Secondly, learn these quotients by heart: every humanistically educated human being should know how much a half, a quarter and an eighth of $1000$ is. As well as that a day has $86400$ seconds ...
    $endgroup$
    – Michael Hoppe
    Apr 21 at 11:32




















  • $begingroup$
    Multiply both the numerator and denominator by $100$ to get $1000000/8$, then divide.
    $endgroup$
    – N. F. Taussig
    Apr 21 at 10:11






  • 1




    $begingroup$
    Observe that $0.08 = frac {8} {100}.$ So we have $$frac {10000} {0.08} = frac {10000 times 100} {8}.$$ Can you proceed now?
    $endgroup$
    – Dbchatto67
    Apr 21 at 10:12












  • $begingroup$
    So, now how many 8's go int 1 million? I don't know how to even do that without a calculator
    $endgroup$
    – natalie99
    Apr 21 at 10:18










  • $begingroup$
    Firstly: Dividing by $8$ is three times dividing by $2$. Consequently, $1000:2=500$, $1000:4=(1000:2):2)=500:2=250$ and $$1000:8=((1000:2):2):2=(500:2):2=250:2=125.$$ Secondly, learn these quotients by heart: every humanistically educated human being should know how much a half, a quarter and an eighth of $1000$ is. As well as that a day has $86400$ seconds ...
    $endgroup$
    – Michael Hoppe
    Apr 21 at 11:32


















$begingroup$
Multiply both the numerator and denominator by $100$ to get $1000000/8$, then divide.
$endgroup$
– N. F. Taussig
Apr 21 at 10:11




$begingroup$
Multiply both the numerator and denominator by $100$ to get $1000000/8$, then divide.
$endgroup$
– N. F. Taussig
Apr 21 at 10:11




1




1




$begingroup$
Observe that $0.08 = frac {8} {100}.$ So we have $$frac {10000} {0.08} = frac {10000 times 100} {8}.$$ Can you proceed now?
$endgroup$
– Dbchatto67
Apr 21 at 10:12






$begingroup$
Observe that $0.08 = frac {8} {100}.$ So we have $$frac {10000} {0.08} = frac {10000 times 100} {8}.$$ Can you proceed now?
$endgroup$
– Dbchatto67
Apr 21 at 10:12














$begingroup$
So, now how many 8's go int 1 million? I don't know how to even do that without a calculator
$endgroup$
– natalie99
Apr 21 at 10:18




$begingroup$
So, now how many 8's go int 1 million? I don't know how to even do that without a calculator
$endgroup$
– natalie99
Apr 21 at 10:18












$begingroup$
Firstly: Dividing by $8$ is three times dividing by $2$. Consequently, $1000:2=500$, $1000:4=(1000:2):2)=500:2=250$ and $$1000:8=((1000:2):2):2=(500:2):2=250:2=125.$$ Secondly, learn these quotients by heart: every humanistically educated human being should know how much a half, a quarter and an eighth of $1000$ is. As well as that a day has $86400$ seconds ...
$endgroup$
– Michael Hoppe
Apr 21 at 11:32






$begingroup$
Firstly: Dividing by $8$ is three times dividing by $2$. Consequently, $1000:2=500$, $1000:4=(1000:2):2)=500:2=250$ and $$1000:8=((1000:2):2):2=(500:2):2=250:2=125.$$ Secondly, learn these quotients by heart: every humanistically educated human being should know how much a half, a quarter and an eighth of $1000$ is. As well as that a day has $86400$ seconds ...
$endgroup$
– Michael Hoppe
Apr 21 at 11:32












5 Answers
5






active

oldest

votes


















2












$begingroup$

Just make some transformations:



$0.08=frac8{100}$. Therefore the term becomes $frac{10000}{frac8{100}}$



Then:




Dividing a term by a fraction is the same as multiplying the term by the
reciprocal of the fraction.




That means $10000cdot frac{100}8=frac{10000}{8}cdot 100=1250cdot 100=125,000$.






share|cite|improve this answer











$endgroup$













  • $begingroup$
    Thank you, but how comes it's 1000 and not 10000, now?
    $endgroup$
    – natalie99
    Apr 21 at 10:22












  • $begingroup$
    I´ve omitted the one 0. I´ve corrected it.
    $endgroup$
    – callculus
    Apr 21 at 10:24












  • $begingroup$
    Thanks, I really like your explanation, it makes it so easy!
    $endgroup$
    – natalie99
    Apr 21 at 10:26










  • $begingroup$
    @natalie99 Nice to hear. You are welcome.
    $endgroup$
    – callculus
    Apr 21 at 10:26



















1












$begingroup$

We know that $0.08=frac{8}{100}$, so $frac{1}{0.08} = frac{100}{8}$ we can do this as one divided by a fraction can be just flipped to remove the divided "bit".



So $$frac{10000}{0.08}=frac{100 * 10000}{8}$$



Then $8$ goes into $10000$, $1250$ times so $frac{10000}{0.08}=1250*100= 125000$






share|cite|improve this answer









$endgroup$





















    0












    $begingroup$

    You can write $$frac{10000cdot 100}{8}$$






    share|cite|improve this answer









    $endgroup$





















      0












      $begingroup$

      You could turn 0.08 to a fraction, take recipricol, then multiply that by 10000 which is a lot easier imo. If you don't want to do the weird decimal movement thing.






      share|cite|improve this answer









      $endgroup$





















        0












        $begingroup$

        $$frac{10000}{frac8{100}}=frac{1000000}{8}=frac{(50*2)(50*2)(50*2)}{2*2*2}=??$$






        share|cite|improve this answer









        $endgroup$














          Your Answer








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          5 Answers
          5






          active

          oldest

          votes








          5 Answers
          5






          active

          oldest

          votes









          active

          oldest

          votes






          active

          oldest

          votes









          2












          $begingroup$

          Just make some transformations:



          $0.08=frac8{100}$. Therefore the term becomes $frac{10000}{frac8{100}}$



          Then:




          Dividing a term by a fraction is the same as multiplying the term by the
          reciprocal of the fraction.




          That means $10000cdot frac{100}8=frac{10000}{8}cdot 100=1250cdot 100=125,000$.






          share|cite|improve this answer











          $endgroup$













          • $begingroup$
            Thank you, but how comes it's 1000 and not 10000, now?
            $endgroup$
            – natalie99
            Apr 21 at 10:22












          • $begingroup$
            I´ve omitted the one 0. I´ve corrected it.
            $endgroup$
            – callculus
            Apr 21 at 10:24












          • $begingroup$
            Thanks, I really like your explanation, it makes it so easy!
            $endgroup$
            – natalie99
            Apr 21 at 10:26










          • $begingroup$
            @natalie99 Nice to hear. You are welcome.
            $endgroup$
            – callculus
            Apr 21 at 10:26
















          2












          $begingroup$

          Just make some transformations:



          $0.08=frac8{100}$. Therefore the term becomes $frac{10000}{frac8{100}}$



          Then:




          Dividing a term by a fraction is the same as multiplying the term by the
          reciprocal of the fraction.




          That means $10000cdot frac{100}8=frac{10000}{8}cdot 100=1250cdot 100=125,000$.






          share|cite|improve this answer











          $endgroup$













          • $begingroup$
            Thank you, but how comes it's 1000 and not 10000, now?
            $endgroup$
            – natalie99
            Apr 21 at 10:22












          • $begingroup$
            I´ve omitted the one 0. I´ve corrected it.
            $endgroup$
            – callculus
            Apr 21 at 10:24












          • $begingroup$
            Thanks, I really like your explanation, it makes it so easy!
            $endgroup$
            – natalie99
            Apr 21 at 10:26










          • $begingroup$
            @natalie99 Nice to hear. You are welcome.
            $endgroup$
            – callculus
            Apr 21 at 10:26














          2












          2








          2





          $begingroup$

          Just make some transformations:



          $0.08=frac8{100}$. Therefore the term becomes $frac{10000}{frac8{100}}$



          Then:




          Dividing a term by a fraction is the same as multiplying the term by the
          reciprocal of the fraction.




          That means $10000cdot frac{100}8=frac{10000}{8}cdot 100=1250cdot 100=125,000$.






          share|cite|improve this answer











          $endgroup$



          Just make some transformations:



          $0.08=frac8{100}$. Therefore the term becomes $frac{10000}{frac8{100}}$



          Then:




          Dividing a term by a fraction is the same as multiplying the term by the
          reciprocal of the fraction.




          That means $10000cdot frac{100}8=frac{10000}{8}cdot 100=1250cdot 100=125,000$.







          share|cite|improve this answer














          share|cite|improve this answer



          share|cite|improve this answer








          edited Apr 21 at 10:27

























          answered Apr 21 at 10:18









          callculuscallculus

          18.9k31730




          18.9k31730












          • $begingroup$
            Thank you, but how comes it's 1000 and not 10000, now?
            $endgroup$
            – natalie99
            Apr 21 at 10:22












          • $begingroup$
            I´ve omitted the one 0. I´ve corrected it.
            $endgroup$
            – callculus
            Apr 21 at 10:24












          • $begingroup$
            Thanks, I really like your explanation, it makes it so easy!
            $endgroup$
            – natalie99
            Apr 21 at 10:26










          • $begingroup$
            @natalie99 Nice to hear. You are welcome.
            $endgroup$
            – callculus
            Apr 21 at 10:26


















          • $begingroup$
            Thank you, but how comes it's 1000 and not 10000, now?
            $endgroup$
            – natalie99
            Apr 21 at 10:22












          • $begingroup$
            I´ve omitted the one 0. I´ve corrected it.
            $endgroup$
            – callculus
            Apr 21 at 10:24












          • $begingroup$
            Thanks, I really like your explanation, it makes it so easy!
            $endgroup$
            – natalie99
            Apr 21 at 10:26










          • $begingroup$
            @natalie99 Nice to hear. You are welcome.
            $endgroup$
            – callculus
            Apr 21 at 10:26
















          $begingroup$
          Thank you, but how comes it's 1000 and not 10000, now?
          $endgroup$
          – natalie99
          Apr 21 at 10:22






          $begingroup$
          Thank you, but how comes it's 1000 and not 10000, now?
          $endgroup$
          – natalie99
          Apr 21 at 10:22














          $begingroup$
          I´ve omitted the one 0. I´ve corrected it.
          $endgroup$
          – callculus
          Apr 21 at 10:24






          $begingroup$
          I´ve omitted the one 0. I´ve corrected it.
          $endgroup$
          – callculus
          Apr 21 at 10:24














          $begingroup$
          Thanks, I really like your explanation, it makes it so easy!
          $endgroup$
          – natalie99
          Apr 21 at 10:26




          $begingroup$
          Thanks, I really like your explanation, it makes it so easy!
          $endgroup$
          – natalie99
          Apr 21 at 10:26












          $begingroup$
          @natalie99 Nice to hear. You are welcome.
          $endgroup$
          – callculus
          Apr 21 at 10:26




          $begingroup$
          @natalie99 Nice to hear. You are welcome.
          $endgroup$
          – callculus
          Apr 21 at 10:26











          1












          $begingroup$

          We know that $0.08=frac{8}{100}$, so $frac{1}{0.08} = frac{100}{8}$ we can do this as one divided by a fraction can be just flipped to remove the divided "bit".



          So $$frac{10000}{0.08}=frac{100 * 10000}{8}$$



          Then $8$ goes into $10000$, $1250$ times so $frac{10000}{0.08}=1250*100= 125000$






          share|cite|improve this answer









          $endgroup$


















            1












            $begingroup$

            We know that $0.08=frac{8}{100}$, so $frac{1}{0.08} = frac{100}{8}$ we can do this as one divided by a fraction can be just flipped to remove the divided "bit".



            So $$frac{10000}{0.08}=frac{100 * 10000}{8}$$



            Then $8$ goes into $10000$, $1250$ times so $frac{10000}{0.08}=1250*100= 125000$






            share|cite|improve this answer









            $endgroup$
















              1












              1








              1





              $begingroup$

              We know that $0.08=frac{8}{100}$, so $frac{1}{0.08} = frac{100}{8}$ we can do this as one divided by a fraction can be just flipped to remove the divided "bit".



              So $$frac{10000}{0.08}=frac{100 * 10000}{8}$$



              Then $8$ goes into $10000$, $1250$ times so $frac{10000}{0.08}=1250*100= 125000$






              share|cite|improve this answer









              $endgroup$



              We know that $0.08=frac{8}{100}$, so $frac{1}{0.08} = frac{100}{8}$ we can do this as one divided by a fraction can be just flipped to remove the divided "bit".



              So $$frac{10000}{0.08}=frac{100 * 10000}{8}$$



              Then $8$ goes into $10000$, $1250$ times so $frac{10000}{0.08}=1250*100= 125000$







              share|cite|improve this answer












              share|cite|improve this answer



              share|cite|improve this answer










              answered Apr 21 at 10:23









              James odareJames odare

              41314




              41314























                  0












                  $begingroup$

                  You can write $$frac{10000cdot 100}{8}$$






                  share|cite|improve this answer









                  $endgroup$


















                    0












                    $begingroup$

                    You can write $$frac{10000cdot 100}{8}$$






                    share|cite|improve this answer









                    $endgroup$
















                      0












                      0








                      0





                      $begingroup$

                      You can write $$frac{10000cdot 100}{8}$$






                      share|cite|improve this answer









                      $endgroup$



                      You can write $$frac{10000cdot 100}{8}$$







                      share|cite|improve this answer












                      share|cite|improve this answer



                      share|cite|improve this answer










                      answered Apr 21 at 10:12









                      Dr. Sonnhard GraubnerDr. Sonnhard Graubner

                      79.6k42867




                      79.6k42867























                          0












                          $begingroup$

                          You could turn 0.08 to a fraction, take recipricol, then multiply that by 10000 which is a lot easier imo. If you don't want to do the weird decimal movement thing.






                          share|cite|improve this answer









                          $endgroup$


















                            0












                            $begingroup$

                            You could turn 0.08 to a fraction, take recipricol, then multiply that by 10000 which is a lot easier imo. If you don't want to do the weird decimal movement thing.






                            share|cite|improve this answer









                            $endgroup$
















                              0












                              0








                              0





                              $begingroup$

                              You could turn 0.08 to a fraction, take recipricol, then multiply that by 10000 which is a lot easier imo. If you don't want to do the weird decimal movement thing.






                              share|cite|improve this answer









                              $endgroup$



                              You could turn 0.08 to a fraction, take recipricol, then multiply that by 10000 which is a lot easier imo. If you don't want to do the weird decimal movement thing.







                              share|cite|improve this answer












                              share|cite|improve this answer



                              share|cite|improve this answer










                              answered Apr 21 at 10:13









                              thethe

                              225




                              225























                                  0












                                  $begingroup$

                                  $$frac{10000}{frac8{100}}=frac{1000000}{8}=frac{(50*2)(50*2)(50*2)}{2*2*2}=??$$






                                  share|cite|improve this answer









                                  $endgroup$


















                                    0












                                    $begingroup$

                                    $$frac{10000}{frac8{100}}=frac{1000000}{8}=frac{(50*2)(50*2)(50*2)}{2*2*2}=??$$






                                    share|cite|improve this answer









                                    $endgroup$
















                                      0












                                      0








                                      0





                                      $begingroup$

                                      $$frac{10000}{frac8{100}}=frac{1000000}{8}=frac{(50*2)(50*2)(50*2)}{2*2*2}=??$$






                                      share|cite|improve this answer









                                      $endgroup$



                                      $$frac{10000}{frac8{100}}=frac{1000000}{8}=frac{(50*2)(50*2)(50*2)}{2*2*2}=??$$







                                      share|cite|improve this answer












                                      share|cite|improve this answer



                                      share|cite|improve this answer










                                      answered Apr 21 at 10:30









                                      E.H.EE.H.E

                                      17.2k11969




                                      17.2k11969






















                                          natalie99 is a new contributor. Be nice, and check out our Code of Conduct.










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