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Division
Definition, Procedure, Approach, Practice
Division

• Separating a large group into smaller
  groups with same number in each group.
Division

• Separating a large group into smaller
  groups with same number in each group.
Division

• Separating a large group into smaller
  groups with same number in each group.
Division

• Separating a large group into smaller
  groups with same number in each group.
Division

• Separating a large group into smaller
  groups with same number in each group.



                  9 stars divided into
                    3 groups of 3.
Division

                    Ten divided by
                      2 equals 5

10   2    =   5
Division

                    Ten divided by
                      2 equals 5

10   2    =   5
Division

                          Ten divided by
Dividend
                            2 equals 5

  10       2    =   5
Division

                                 Ten divided by
Dividend
                                   2 equals 5

  10              2    =   5
       Division
        Sign
Division

                                    Ten divided by
Dividend          Divisor
                                      2 equals 5

  10                2       =   5
       Division
        Sign
Division

                                    Ten divided by
Dividend          Divisor
                                      2 equals 5

  10                2       =   5
       Division         Equal
        Sign             Sign
Division

                                       Ten divided by
Dividend          Divisor   Quotient
                                         2 equals 5

  10                2       =   5
       Division         Equal
        Sign             Sign
Division




15   3     =   ?
Division




15   3     =   ?
Division




15   3     =   ?
Division




15   3     =   ?
Division




15   3     =   ?
Division




15   3     =   5
               ?
Division




15   3     =   5
               ?
Division




Dividend



  15       3     =   5
                     ?
Division




Dividend   Divisor



  15         3       =   5
                         ?
Division




Dividend   Divisor       Quotient



  15         3       =      5
                            ?
You Try It... Division
           Divide this group of
           20 stars into smaller
                 groups
You Try It... Division
           Divide this group of
           20 stars into smaller
                 groups



                   4 groups of 5
                    20   4=5
You Try It... Division
           Divide this group of
           20 stars into smaller
                 groups



                   4 groups of 5
                    20   4=5

                              5 groups of 4
                               20   5=4
You Try It... Division
           Divide this group of
           20 stars into smaller
                 groups



                   4 groups of 5
                    20   4=5

                              5 groups of 4
                               20   5=4
          2 groups of 10
           20    2 = 10
You Try It... Division
                  Divide this group of
                  20 stars into smaller
                        groups



                          4 groups of 5
                           20   4=5

                                     5 groups of 4
                                      20   5=4
                 2 groups of 10
10 groups of 2
                  20    2 = 10
 20   10 = 2
You Try It... Division
You Try It... Division


              2
You Try It... Division


              2
              6
You Try It... Division


              2
              6
              2
You Try It... Division


              2
              6
              2
              1
You Try It... Division


              2
              6
              2
              1
You Try It... Division


              2          2

              6
              2
              1
You Try It... Division


              2          2

              6
              2
              1
You Try It... Division


              2          2

              6          6

              2
              1
You Try It... Division


              2          2

              6          6

              2
              1
You Try It... Division


              2          2

              6          6

              2          2
              1
You Try It... Division


              2          2

              6          6

              2          2
              1
You Try It... Division


              2          2

              6          6

              2          2
              1          1
Division

• Division is just like MULTIPLICATION
  but backwards...
• Consider this...
 • 21 is 3 multiplied by what number?
Division

• Division is just like MULTIPLICATION
  but backwards...
• Consider this...
 • 21 is 3 multiplied by what number?
          21 = 3 x ?
Division

• Division is just like MULTIPLICATION
  but backwards...
• Consider this...
 • 21 is 3 multiplied by what number?
          21 = 3 x ?
                   7
Division & Multiplication
        21   3   = 7
Division & Multiplication
        21 =   3   = 7
Division & Multiplication
        21 =   3   X 7
                   =
Division & Multiplication
        21 =   3   X 7
                   =

      35       7   =     ?
Division & Multiplication
        21 =   3   X 7
                   =

      35   =   7   =     ?
Division & Multiplication
        21 =   3   X 7
                   =

      35   =   7   X
                   =     ?
Division & Multiplication
        21 =   3   X 7
                   =

      35   =   7   X
                   =     5
                         ?
Division & Multiplication
           21 =   3   X 7
                      =

      35     =    7   X
                      =     5
                            ?

      18          2   =     ?
Division & Multiplication
           21 =   3   X 7
                      =

      35     =    7   X
                      =     5
                            ?

      18     =    2   =     ?
Division & Multiplication
           21 =   3   X 7
                      =

      35     =    7   X
                      =     5
                            ?

      18     =    2   =
                      X     ?
Division & Multiplication
           21 =   3   X 7
                      =

      35     =    7   X
                      =     5
                            ?

      18     =    2   =
                      X     9
                            ?
Division & Multiplication
           21 =   3   X 7
                      =

      35     =    7   X
                      =     5
                            ?

      18     =    2   =
                      X     9
                            ?

      24          6   =     ?
Division & Multiplication
           21 =   3   X 7
                      =

      35     =    7   X
                      =     5
                            ?

      18     =    2   =
                      X     9
                            ?

      24     =    6   =     ?
Division & Multiplication
           21 =   3   X 7
                      =

      35     =    7   X
                      =     5
                            ?

      18     =    2   =
                      X     9
                            ?

      24     =    6   X
                      =     ?
Division & Multiplication
           21 =   3   X 7
                      =

      35     =    7   X
                      =     5
                            ?

      18     =    2   =
                      X     9
                            ?

      24     =    6   X
                      =     4
                            ?
Division
Use a Number Line
Division
 Repeat Subtraction
12      3     =       ?
Division
 Repeat Subtraction
12      3     =       ?
        12
Division
 Repeat Subtraction
12      3     =       ?
        12
Division
 Repeat Subtraction
12      3     =       ?
        12
         3
Division
 Repeat Subtraction
12      3     =       ?
        12
         3    1
Division
 Repeat Subtraction
12      3     =       ?
        12
         3    1

         9
Division
 Repeat Subtraction
12      3     =       ?
        12
         3    1

         9
Division
 Repeat Subtraction
12      3     =       ?
        12
         3    1

         9
         3
Division
 Repeat Subtraction
12      3     =       ?
        12
         3    1

         9
         3    2
Division
 Repeat Subtraction
12      3     =       ?
        12
         3    1

         9
         3    2

         6
Division
 Repeat Subtraction
12      3     =       ?
        12
         3    1

         9
         3    2

         6
Division
 Repeat Subtraction
12      3     =       ?
        12
         3    1

         9
         3    2

         6
         3
Division
 Repeat Subtraction
12      3     =       ?
        12
         3    1

         9
         3    2

         6
         3    3
Division
 Repeat Subtraction
12      3     =       ?
        12
         3    1

         9
         3    2

         6
         3    3

         3
Division
 Repeat Subtraction
12      3     =       ?
        12
         3    1

         9
         3    2

         6
         3    3

         3
Division
 Repeat Subtraction
12      3     =       ?
        12
         3    1

         9
         3    2

         6
         3    3

         3
         3
Division
 Repeat Subtraction
12      3     =       ?
        12
         3    1

         9
         3    2

         6
         3    3

         3
         3    4
Division
 Repeat Subtraction
12      3     =       ?
        12
         3    1

         9
         3    2

         6
         3    3

         3
         3    4

         0
Division
 Repeat Subtraction
12      3     =       4
                      ?
        12
         3    1

         9
         3    2

         6
         3    3

         3
         3    4

         0
Division

 3   21
Division

 3   21
Division

 3   21    Dividend
Division

Divisor    3   21    Dividend
Division
    Division
     Sign


Divisor        3   21   Dividend
Division
    Division
     Sign


Divisor        3   21   Dividend
Division
    Division
     Sign               Quotient


Divisor        3   21   Dividend
Division
    Division
     Sign               Quotient
                    7
Divisor        3   21   Dividend
Division
    Division
     Sign               Quotient
                    7
Divisor        3   21   Dividend
Division
    Division
     Sign                         Quotient
                        7
Divisor        3    21            Dividend




                     Remember, you need to
                   line up all the digits in the
                   QUOTIENT with the digits
                        in the DIVIDEND
Division
         Division
          Sign                         Quotient
                             7
     Divisor        3    21            Dividend




                          Remember, you need to
                        line up all the digits in the
3   21                  QUOTIENT with the digits
                             in the DIVIDEND
Division
            Division
             Sign                         Quotient
                                7
        Divisor        3    21            Dividend




    7                        Remember, you need to
                           line up all the digits in the
3   21                     QUOTIENT with the digits
                                in the DIVIDEND
Division
         Division
          Sign                         Quotient
                             7
     Divisor        3    21            Dividend




    X
    7                     Remember, you need to
                        line up all the digits in the
3   21                  QUOTIENT with the digits
                             in the DIVIDEND
Division
         Division
          Sign                         Quotient
                             7
     Divisor        3    21            Dividend




    X
    7                     Remember, you need to
                        line up all the digits in the
3   21                  QUOTIENT with the digits
                             in the DIVIDEND
Division
         Division
          Sign                         Quotient
                             7
     Divisor        3    21            Dividend




    X7
    7                     Remember, you need to
                        line up all the digits in the
3   21                  QUOTIENT with the digits
                             in the DIVIDEND
Division... You Try It...

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