How can I mathematically split up a 3 digit number?

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For example, if I have 456, How can I split this and then let each column value be a separate number? The only way I can think of doing this would be to subtract '100' n times until that column is '0' and storing the number of subtractions, leaving '4' then repeating for the other columns. Is there a quicker way?






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  • Why not divide by $100?$
    – saulspatz
    1 hour ago














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For example, if I have 456, How can I split this and then let each column value be a separate number? The only way I can think of doing this would be to subtract '100' n times until that column is '0' and storing the number of subtractions, leaving '4' then repeating for the other columns. Is there a quicker way?






real-numbers







share|cite|improve this question







New contributor




Ben Beaumont is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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  • Why not divide by $100?$
    – saulspatz
    1 hour ago












up vote
3
down vote

favorite









up vote
3
down vote

favorite











For example, if I have 456, How can I split this and then let each column value be a separate number? The only way I can think of doing this would be to subtract '100' n times until that column is '0' and storing the number of subtractions, leaving '4' then repeating for the other columns. Is there a quicker way?






real-numbers







share|cite|improve this question







New contributor




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











For example, if I have 456, How can I split this and then let each column value be a separate number? The only way I can think of doing this would be to subtract '100' n times until that column is '0' and storing the number of subtractions, leaving '4' then repeating for the other columns. Is there a quicker way?






real-numbers




real-numbers






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asked 1 hour ago









Ben Beaumont

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  • Why not divide by $100?$
    – saulspatz
    1 hour ago
















  • Why not divide by $100?$
    – saulspatz
    1 hour ago















Why not divide by $100?$
– saulspatz
1 hour ago




Why not divide by $100?$
– saulspatz
1 hour ago










2 Answers
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3
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You can use the operation "modulus". It calculates the rest after you have divided by a number.



  1. So 456 modulus 10 is 6, now you have the first digit.

  2. Then you can divide 456 with 10 without rest, you get 45

  3. Now 45 modulus 10 gives 5, now you have second digit

  4. Then you can divide 45 with 10 without rest, you get 4

  5. Now 4 modulus 10 gives 4, now you have last digit





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    Divide $456$ with $100$ without remainder, you get $4$ - the first digit



    Now $456 - 4cdot100 = 56$ - subtract $100$ times the first digit



    Now divide $56$ with $10$ without remainder to get 5 - the second digit



    Now do $56 - 5cdot10 = 6$ - last digit



    You can use $mod$ to get them another way, from last (or first if you call it that way) to first digit






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      2 Answers
      2






      active

      oldest

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      2 Answers
      2






      active

      oldest

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      active

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      active

      oldest

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      up vote
      3
      down vote



      accepted










      You can use the operation "modulus". It calculates the rest after you have divided by a number.



      1. So 456 modulus 10 is 6, now you have the first digit.

      2. Then you can divide 456 with 10 without rest, you get 45

      3. Now 45 modulus 10 gives 5, now you have second digit

      4. Then you can divide 45 with 10 without rest, you get 4

      5. Now 4 modulus 10 gives 4, now you have last digit





      share|cite|improve this answer
























        up vote
        3
        down vote



        accepted










        You can use the operation "modulus". It calculates the rest after you have divided by a number.



        1. So 456 modulus 10 is 6, now you have the first digit.

        2. Then you can divide 456 with 10 without rest, you get 45

        3. Now 45 modulus 10 gives 5, now you have second digit

        4. Then you can divide 45 with 10 without rest, you get 4

        5. Now 4 modulus 10 gives 4, now you have last digit





        share|cite|improve this answer






















          up vote
          3
          down vote



          accepted







          up vote
          3
          down vote



          accepted






          You can use the operation "modulus". It calculates the rest after you have divided by a number.



          1. So 456 modulus 10 is 6, now you have the first digit.

          2. Then you can divide 456 with 10 without rest, you get 45

          3. Now 45 modulus 10 gives 5, now you have second digit

          4. Then you can divide 45 with 10 without rest, you get 4

          5. Now 4 modulus 10 gives 4, now you have last digit





          share|cite|improve this answer












          You can use the operation "modulus". It calculates the rest after you have divided by a number.



          1. So 456 modulus 10 is 6, now you have the first digit.

          2. Then you can divide 456 with 10 without rest, you get 45

          3. Now 45 modulus 10 gives 5, now you have second digit

          4. Then you can divide 45 with 10 without rest, you get 4

          5. Now 4 modulus 10 gives 4, now you have last digit






          share|cite|improve this answer












          share|cite|improve this answer



          share|cite|improve this answer










          answered 1 hour ago









          mathreadler

          14.3k72059




          14.3k72059




















              up vote
              1
              down vote













              Divide $456$ with $100$ without remainder, you get $4$ - the first digit



              Now $456 - 4cdot100 = 56$ - subtract $100$ times the first digit



              Now divide $56$ with $10$ without remainder to get 5 - the second digit



              Now do $56 - 5cdot10 = 6$ - last digit



              You can use $mod$ to get them another way, from last (or first if you call it that way) to first digit






              share|cite|improve this answer
























                up vote
                1
                down vote













                Divide $456$ with $100$ without remainder, you get $4$ - the first digit



                Now $456 - 4cdot100 = 56$ - subtract $100$ times the first digit



                Now divide $56$ with $10$ without remainder to get 5 - the second digit



                Now do $56 - 5cdot10 = 6$ - last digit



                You can use $mod$ to get them another way, from last (or first if you call it that way) to first digit






                share|cite|improve this answer






















                  up vote
                  1
                  down vote










                  up vote
                  1
                  down vote









                  Divide $456$ with $100$ without remainder, you get $4$ - the first digit



                  Now $456 - 4cdot100 = 56$ - subtract $100$ times the first digit



                  Now divide $56$ with $10$ without remainder to get 5 - the second digit



                  Now do $56 - 5cdot10 = 6$ - last digit



                  You can use $mod$ to get them another way, from last (or first if you call it that way) to first digit






                  share|cite|improve this answer












                  Divide $456$ with $100$ without remainder, you get $4$ - the first digit



                  Now $456 - 4cdot100 = 56$ - subtract $100$ times the first digit



                  Now divide $56$ with $10$ without remainder to get 5 - the second digit



                  Now do $56 - 5cdot10 = 6$ - last digit



                  You can use $mod$ to get them another way, from last (or first if you call it that way) to first digit







                  share|cite|improve this answer












                  share|cite|improve this answer



                  share|cite|improve this answer










                  answered 1 hour ago









                  Aleksa

                  19512




                  19512




















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