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?






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.







$endgroup$












  • $begingroup$
    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?






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.







$endgroup$












  • $begingroup$
    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?






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.







$endgroup$




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




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




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.





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






















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                                          Plaza Victoria

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                                          Plaza Victoria Plaza Victoria en 2017 Otros nombres Plaza de La Victoria Localización El Almendral, Valparaíso, Chile Vías adyacentes Chacabuco, Molina, Plaza Victoria y Edwards Creación 1841 Metro Bellavista Ubicación 33°02′46″S 71°37′11″O  /  -33.04624167, -71.61980833 Coordenadas: 33°02′46″S 71°37′11″O  /  -33.04624167, -71.61980833 [editar datos en Wikidata] La Plaza Victoria , también llamada Plaza de la Victoria , [ 1 ] ​ es una plaza ubicada en el sector El Almendral del plan de la ciudad de Valparaíso, Chile, de importancia patrimonial, que incluye valiosas estatuas y especies vegetales. [ 2 ] ​ La plaza se creó como tal en la primera mitad del siglo XIX, tomando previamente los nombres de Plaza Nueva y Plaza de Orrego . Si bien desde sus inicios tuvo relevancia histórica, no fue sino a partir de fines de los años 1860 cuando comenzó a cobrar mayor importancia y se convirtió en uno de los principales centros sociales de l
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                                          Puebla de Zaragoza

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                                          Para otros usos de este término, véase Puebla (desambiguación). Heroica Puebla de Zaragoza Localidad De arriba a abajo de izquierda a derecha: Estrella de Puebla, Volcán Popocatépetl, Catedral de Puebla, Monumento a Ignacio Zaragoza, Estadio Cuauhtémoc, Angelópolis y Vista panorámica de la ciudad. Escudo Otros nombres: El relicario de América/ La ciudad de los Ángeles/ La Angelópolis Lema: Muy noble y muy leal ciudad de Puebla de los Ángeles Heroica Puebla de Zaragoza Localización de Heroica Puebla de Zaragoza en México Heroica Puebla de Zaragoza Localización de Heroica Puebla de Zaragoza en Puebla Mapa interactivo Coordenadas 19°03′05″N 98°13′04″O  /  19.051388888889, -98.217777777778 Coordenadas: 19°03′05″N 98°13′04″O  /  19.051388888889, -98.217777777778 Idioma oficial Español Entidad Localidad  • País   México  • Estado Puebla  • Municipio Puebla Presidente municipal Claudia Rivera Vivanc
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                                          Musa

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                                          Para el género de plantas, véase Musa (planta). Apolo y la Nueve Musas En la mitología griega, las musas (en griego antiguo μοῦσαι « mousai» ) son, según los escritores más antiguos, las divinidades inspiradoras de las Artes: cada una de ellas está relacionada con ramas artísticas y del conocimiento. Son hijas de Zeus y de Mnemósine, compañeras del séquito de Apolo, dios olímpico de la música y patrón de las bellas artes, quien tuvo romances con cada una de ellas, dejando descendientes. Bajaban a la tierra a susurrar ideas e inspirar a aquellos mortales que las invocaran. En la época más arcaica eran las ninfas inspiradoras de las fuentes, en las cuales eran adoradas. Finalmente, alrededor de los siglos VIII-VII a. C. [ 1 ] ​ prevaleció en todo el territorio de la Hélade la adoración de las nueve Musas, que son Calíope, Clío, Erato, Euterpe, Melpómene, Polimnia, Talía, Terpsícore y Urania. El culto a las musas era originalmente de Tracia y Beocia, y fueron de vital impo
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