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4-7 Multiplying by One-
  Digit and Two-Digit
        Numbers
         Math Notes
       Number Sense 1.0
Find 28 x 12
Find 28 x 12
  28
x 12
Find 28 x 12
  28     Break 12 into two addends.


x 12
Find 28 x 12
  28     Break 12 into two addends.


x 12
         10                   2
Find 28 x 12
  28     Break 12 into two addends.
            Multiply both by 28

x 12
         10                   2
Find 28 x 12
  28     Break 12 into two addends.
            Multiply both by 28

x 12     28            28
       x 10           x 2
Find 28 x 12
  28     Break 12 into two addends.
            Multiply both by 28

x 12     28            28
       x 10           x 2
        280
Find 28 x 12
  28     Break 12 into two addends.
            Multiply both by 28

x 12     28            28
                             1

       x 10           x 2
        280             6
Find 28 x 12
  28     Break 12 into two addends.
            Multiply both by 28

x 12     28            28
                             1

       x 10           x 2
        280            56
Find 28 x 12
  28         Break 12 into two addends.
                Multiply both by 28

x 12         28            28
                                 1

           x 10           x 2
            280            56
  Add
280 + 56
Find 28 x 12
  28         Break 12 into two addends.
                Multiply both by 28

x 12         28            28
                                 1

           x 10           x 2
            280            56
  Add
280 + 56   280 + 56 =
Find 28 x 12
  28         Break 12 into two addends.
                Multiply both by 28

x 12         28            28
                                 1

           x 10           x 2
            280            56
  Add
280 + 56   280 + 56 = 336
OR
           Find 28 x 12
  28         Break 12 into two addends.
                Multiply both by 28

x 12         28            28
                                 1

           x 10           x 2
            280            56
  Add
280 + 56   280 + 56 = 336
Find 28 x 12

   28
  x 12
Find 28 x 12

                    28
 STEP ZERO:
Use guidelines
to keep work



                   x 12
    neat.
Find 28 x 12

                    28
 STEP ZERO:
Use guidelines
to keep work



                   x 12
    neat.
Find 28 x 12

                    28
 STEP ZERO:                        STEP ONE:
Use guidelines                     Multiply by
to keep work                    the ones. Regroup



                   x 12
    neat.                         if necessary.
Find 28 x 12

                    28
 STEP ZERO:                        STEP ONE:
Use guidelines                     Multiply by
to keep work                    the ones. Regroup



                   x 12
    neat.                         if necessary.
Find 28 x 12
                      1
                    28
 STEP ZERO:                        STEP ONE:
Use guidelines                     Multiply by
to keep work                    the ones. Regroup



                   x 12
    neat.                         if necessary.




                      6
Find 28 x 12
                      1
                    28
 STEP ZERO:                        STEP ONE:
Use guidelines                     Multiply by
to keep work                    the ones. Regroup



                   x 12
    neat.                         if necessary.




                      6
Find 28 x 12
                      1
                    28
 STEP ZERO:                        STEP ONE:
Use guidelines                     Multiply by
to keep work                    the ones. Regroup



                   x 12
    neat.                         if necessary.




                    56
Find 28 x 12
                      1
                    28
 STEP ZERO:                        STEP ONE:
Use guidelines                     Multiply by
to keep work                    the ones. Regroup



                   x 12
    neat.                         if necessary.

                                    STEP TWO:
                                Place a zero in the



                    56
                                     ones place.
                                  (PLACEHOLDER)
                                    Scratch out
                                   previous work.
Find 28 x 12
                      1
                    28
 STEP ZERO:                        STEP ONE:
Use guidelines                     Multiply by
to keep work                    the ones. Regroup



                   x 12
    neat.                         if necessary.

                                    STEP TWO:
                                Place a zero in the



                    56
                                     ones place.
                                  (PLACEHOLDER)
                                    Scratch out



                      0
                                   previous work.
Find 28 x 12
                       1
                     28
 STEP ZERO:                         STEP ONE:
Use guidelines                      Multiply by
to keep work                     the ones. Regroup



                    x 12
    neat.                          if necessary.

                                     STEP TWO:
 STEP THREE:                     Place a zero in the



                     56
Multiply by the                       ones place.
tens. Regroup                      (PLACEHOLDER)
 if necessary.                       Scratch out



                       0
                                    previous work.
Find 28 x 12
                       1
                     28
 STEP ZERO:                         STEP ONE:
Use guidelines                      Multiply by
to keep work                     the ones. Regroup



                    x 12
    neat.                          if necessary.

                                     STEP TWO:
 STEP THREE:                     Place a zero in the



                     56
Multiply by the                       ones place.
tens. Regroup                      (PLACEHOLDER)
 if necessary.                       Scratch out



                       0
                                    previous work.
Find 28 x 12
                       1
                     28
 STEP ZERO:                         STEP ONE:
Use guidelines                      Multiply by
to keep work                     the ones. Regroup



                    x 12
    neat.                          if necessary.

                                     STEP TWO:
 STEP THREE:                     Place a zero in the



                     56
Multiply by the                       ones place.
tens. Regroup                      (PLACEHOLDER)
 if necessary.                       Scratch out



                     80
                                    previous work.
Find 28 x 12
                       1
                     28
 STEP ZERO:                         STEP ONE:
Use guidelines                      Multiply by
to keep work                     the ones. Regroup



                    x 12
    neat.                          if necessary.

                                     STEP TWO:
 STEP THREE:                     Place a zero in the



                     56
Multiply by the                       ones place.
tens. Regroup                      (PLACEHOLDER)
 if necessary.                       Scratch out



                     80
                                    previous work.
Find 28 x 12
                       1
                     28
 STEP ZERO:                         STEP ONE:
Use guidelines                      Multiply by
to keep work                     the ones. Regroup



                    x 12
    neat.                          if necessary.

                                     STEP TWO:
 STEP THREE:                     Place a zero in the



                     56
Multiply by the                       ones place.
tens. Regroup                      (PLACEHOLDER)
 if necessary.                       Scratch out



                    28 0
                                    previous work.
Find 28 x 12
                       1
                    28
 STEP ZERO:                         STEP ONE:
Use guidelines                      Multiply by
to keep work                     the ones. Regroup



                   x 12
    neat.                          if necessary.

                                     STEP TWO:
 STEP THREE:                     Place a zero in the



                    56
Multiply by the                       ones place.
tens. Regroup                      (PLACEHOLDER)
 if necessary.                       Scratch out



                  +28 0
                                    previous work.
Find 28 x 12
                           1
                          28
    STEP ZERO:                          STEP ONE:
   Use guidelines                       Multiply by
   to keep work                      the ones. Regroup



                         x 12
       neat.                           if necessary.

                                         STEP TWO:
     STEP THREE:                     Place a zero in the



                          56
    Multiply by the                       ones place.
    tens. Regroup                      (PLACEHOLDER)
     if necessary.                       Scratch out



                        +28 0
                                        previous work.


    STEP FOUR:
 Add the products.
Regroup if necessary.
Find 28 x 12
                           1
                           28
    STEP ZERO:                          STEP ONE:
   Use guidelines                       Multiply by
   to keep work                      the ones. Regroup



                         x 12
       neat.                           if necessary.

                                         STEP TWO:
     STEP THREE:                     Place a zero in the



                         1 56
    Multiply by the                       ones place.
    tens. Regroup                      (PLACEHOLDER)
     if necessary.                       Scratch out



                        +28 0
                                        previous work.




                         33 6
    STEP FOUR:
 Add the products.
Regroup if necessary.
Find 354 x 23

     354
     x 23
Find 354 x 23

                      354
 STEP ZERO:
Use guidelines
to keep work



                      x 23
    neat.
Find 354 x 23

                      354
 STEP ZERO:
Use guidelines
to keep work



                      x 23
    neat.
Find 354 x 23

                      354
 STEP ZERO:                         STEP ONE:
Use guidelines                      Multiply by
to keep work                     the ones. Regroup



                      x 23
    neat.                          if necessary.
Find 354 x 23

                      354
 STEP ZERO:                         STEP ONE:
Use guidelines                      Multiply by
to keep work                     the ones. Regroup



                      x 23
    neat.                          if necessary.
Find 354 x 23
                         1
                      354
 STEP ZERO:                         STEP ONE:
Use guidelines                      Multiply by
to keep work                     the ones. Regroup



                      x 23
    neat.                          if necessary.




                         2
Find 354 x 23
                         1
                      354
 STEP ZERO:                         STEP ONE:
Use guidelines                      Multiply by
to keep work                     the ones. Regroup



                      x 23
    neat.                          if necessary.




                         2
Find 354 x 23
                       1 1
                      354
 STEP ZERO:                         STEP ONE:
Use guidelines                      Multiply by
to keep work                     the ones. Regroup



                      x 23
    neat.                          if necessary.




                        62
Find 354 x 23
                       1 1
                      354
 STEP ZERO:                         STEP ONE:
Use guidelines                      Multiply by
to keep work                     the ones. Regroup



                      x 23
    neat.                          if necessary.




                        62
Find 354 x 23
                       1 1
                      354
 STEP ZERO:                         STEP ONE:
Use guidelines                      Multiply by
to keep work                     the ones. Regroup



                      x 23
    neat.                          if necessary.




                     1062
Find 354 x 23
                       1 1
                      354
 STEP ZERO:                         STEP ONE:
Use guidelines                      Multiply by
to keep work                     the ones. Regroup



                      x 23
    neat.                          if necessary.

                                     STEP TWO:
                                 Place a zero in the



                     1062
                                      ones place.
                                   (PLACEHOLDER)
                                     Scratch out
                                    previous work.
Find 354 x 23

                      354
 STEP ZERO:                         STEP ONE:
Use guidelines                      Multiply by
to keep work                     the ones. Regroup



                      x 23
    neat.                          if necessary.

                                     STEP TWO:
                                 Place a zero in the



                     1062
                                      ones place.
                                   (PLACEHOLDER)
                                     Scratch out



                         0
                                    previous work.
Find 354 x 23

                       354
  STEP ZERO:                         STEP ONE:
 Use guidelines                      Multiply by
 to keep work                     the ones. Regroup



                       x 23
     neat.                          if necessary.

                                      STEP TWO:
 STEP THREE:                      Place a zero in the



                      1062
Multiply by the                        ones place.
tens. Regroup                       (PLACEHOLDER)
 if necessary.                        Scratch out



                          0
                                     previous work.
Find 354 x 23

                       354
  STEP ZERO:                         STEP ONE:
 Use guidelines                      Multiply by
 to keep work                     the ones. Regroup



                       x 23
     neat.                          if necessary.

                                      STEP TWO:
 STEP THREE:                      Place a zero in the



                      1062
Multiply by the                        ones place.
tens. Regroup                       (PLACEHOLDER)
 if necessary.                        Scratch out



                          0
                                     previous work.
Find 354 x 23

                       354
  STEP ZERO:                         STEP ONE:
 Use guidelines                      Multiply by
 to keep work                     the ones. Regroup



                       x 23
     neat.                          if necessary.

                                      STEP TWO:
 STEP THREE:                      Place a zero in the



                      1062
Multiply by the                        ones place.
tens. Regroup                       (PLACEHOLDER)
 if necessary.                        Scratch out



                         80
                                     previous work.
Find 354 x 23

                       354
  STEP ZERO:                         STEP ONE:
 Use guidelines                      Multiply by
 to keep work                     the ones. Regroup



                       x 23
     neat.                          if necessary.

                                      STEP TWO:
 STEP THREE:                      Place a zero in the



                      1062
Multiply by the                        ones place.
tens. Regroup                       (PLACEHOLDER)
 if necessary.                        Scratch out



                         80
                                     previous work.
Find 354 x 23
                        1
                       354
  STEP ZERO:                         STEP ONE:
 Use guidelines                      Multiply by
 to keep work                     the ones. Regroup



                       x 23
     neat.                          if necessary.

                                      STEP TWO:
 STEP THREE:                      Place a zero in the



                      1062
Multiply by the                        ones place.
tens. Regroup                       (PLACEHOLDER)
 if necessary.                        Scratch out



                       08 0
                                     previous work.
Find 354 x 23
                        1
                       354
  STEP ZERO:                         STEP ONE:
 Use guidelines                      Multiply by
 to keep work                     the ones. Regroup



                       x 23
     neat.                          if necessary.

                                      STEP TWO:
 STEP THREE:                      Place a zero in the



                      1062
Multiply by the                        ones place.
tens. Regroup                       (PLACEHOLDER)
 if necessary.                        Scratch out



                       08 0
                                     previous work.
Find 354 x 23
                        1
                      354
  STEP ZERO:                         STEP ONE:
 Use guidelines                      Multiply by
 to keep work                     the ones. Regroup



                      x 23
     neat.                          if necessary.

                                      STEP TWO:
 STEP THREE:                      Place a zero in the



                     1062
Multiply by the                        ones place.
tens. Regroup                       (PLACEHOLDER)
 if necessary.                        Scratch out



                     708 0
                                     previous work.
Find 354 x 23
                        1
                      354
  STEP ZERO:                         STEP ONE:
 Use guidelines                      Multiply by
 to keep work                     the ones. Regroup



                      x 23
     neat.                          if necessary.

                                      STEP TWO:
 STEP THREE:                      Place a zero in the



                     1062
Multiply by the                        ones place.
tens. Regroup                       (PLACEHOLDER)
 if necessary.                        Scratch out



                   + 708 0
                                     previous work.
Find 354 x 23
                           1
                           354
    STEP ZERO:                         STEP ONE:
   Use guidelines                      Multiply by
   to keep work                     the ones. Regroup



                           x 23
       neat.                          if necessary.

                                        STEP TWO:
   STEP THREE:                      Place a zero in the



                          1062
  Multiply by the                        ones place.
  tens. Regroup                       (PLACEHOLDER)
   if necessary.                        Scratch out



                        + 708 0
                                       previous work.


    STEP FOUR:
 Add the products.
Regroup if necessary.
Find 354 x 23
                           1
                           354
    STEP ZERO:                         STEP ONE:
   Use guidelines                      Multiply by
   to keep work                     the ones. Regroup



                            x 23
       neat.                          if necessary.



                            1
                                        STEP TWO:
   STEP THREE:                      Place a zero in the



                          1062
  Multiply by the                        ones place.
  tens. Regroup                       (PLACEHOLDER)
   if necessary.                        Scratch out



                        + 708 0
                                       previous work.




                          8 1 42
    STEP FOUR:
 Add the products.
Regroup if necessary.
Find 874 x 59

     874
     x 59
Find 874 x 59

                      874
 STEP ZERO:
Use guidelines
to keep work



                      x 59
    neat.
Find 874 x 59

                      874
 STEP ZERO:
Use guidelines
to keep work



                      x 59
    neat.
Find 874 x 59

                      874
 STEP ZERO:                         STEP ONE:
Use guidelines                      Multiply by
to keep work                     the ones. Regroup



                      x 59
    neat.                          if necessary.
Find 874 x 59

                      874
 STEP ZERO:                         STEP ONE:
Use guidelines                      Multiply by
to keep work                     the ones. Regroup



                      x 59
    neat.                          if necessary.
Find 874 x 59
                         3
                      874
 STEP ZERO:                         STEP ONE:
Use guidelines                      Multiply by
to keep work                     the ones. Regroup



                      x 59
    neat.                          if necessary.




                         6
Find 874 x 59
                         3
                      874
 STEP ZERO:                         STEP ONE:
Use guidelines                      Multiply by
to keep work                     the ones. Regroup



                      x 59
    neat.                          if necessary.




                         6
Find 874 x 59
                       63
                      874
 STEP ZERO:                         STEP ONE:
Use guidelines                      Multiply by
to keep work                     the ones. Regroup



                      x 59
    neat.                          if necessary.




                        66
Find 874 x 59
                       63
                      874
 STEP ZERO:                         STEP ONE:
Use guidelines                      Multiply by
to keep work                     the ones. Regroup



                      x 59
    neat.                          if necessary.




                        66
Find 874 x 59
                       63
                     874
 STEP ZERO:                         STEP ONE:
Use guidelines                      Multiply by
to keep work                     the ones. Regroup



                     x 59
    neat.                          if necessary.




                    78 66
Find 874 x 59
                       63
                     874
 STEP ZERO:                         STEP ONE:
Use guidelines                      Multiply by
to keep work                     the ones. Regroup



                     x 59
    neat.                          if necessary.

                                     STEP TWO:
                                 Place a zero in the



                    78 66
                                      ones place.
                                   (PLACEHOLDER)
                                     Scratch out
                                    previous work.
Find 874 x 59

                     874
 STEP ZERO:                         STEP ONE:
Use guidelines                      Multiply by
to keep work                     the ones. Regroup



                     x 59
    neat.                          if necessary.

                                     STEP TWO:
                                 Place a zero in the



                    78 66
                                      ones place.
                                   (PLACEHOLDER)
                                     Scratch out



                        0
                                    previous work.
Find 874 x 59

                      874
  STEP ZERO:                         STEP ONE:
 Use guidelines                      Multiply by
 to keep work                     the ones. Regroup



                      x 59
     neat.                          if necessary.

                                      STEP TWO:
 STEP THREE:                      Place a zero in the



                     78 66
Multiply by the                        ones place.
tens. Regroup                       (PLACEHOLDER)
 if necessary.                        Scratch out



                         0
                                     previous work.
Find 874 x 59

                      874
  STEP ZERO:                         STEP ONE:
 Use guidelines                      Multiply by
 to keep work                     the ones. Regroup



                      x 59
     neat.                          if necessary.

                                      STEP TWO:
 STEP THREE:                      Place a zero in the



                     78 66
Multiply by the                        ones place.
tens. Regroup                       (PLACEHOLDER)
 if necessary.                        Scratch out



                         0
                                     previous work.
Find 874 x 59
                          2
                      874
  STEP ZERO:                         STEP ONE:
 Use guidelines                      Multiply by
 to keep work                     the ones. Regroup



                      x 59
     neat.                          if necessary.

                                      STEP TWO:
 STEP THREE:                      Place a zero in the



                     78 66
Multiply by the                        ones place.
tens. Regroup                       (PLACEHOLDER)
 if necessary.                        Scratch out



                        00
                                     previous work.
Find 874 x 59
                          2
                      874
  STEP ZERO:                         STEP ONE:
 Use guidelines                      Multiply by
 to keep work                     the ones. Regroup



                      x 59
     neat.                          if necessary.

                                      STEP TWO:
 STEP THREE:                      Place a zero in the



                     78 66
Multiply by the                        ones place.
tens. Regroup                       (PLACEHOLDER)
 if necessary.                        Scratch out



                        00
                                     previous work.
Find 874 x 59
                        32
                      874
  STEP ZERO:                         STEP ONE:
 Use guidelines                      Multiply by
 to keep work                     the ones. Regroup



                      x 59
     neat.                          if necessary.

                                      STEP TWO:
 STEP THREE:                      Place a zero in the



                     78 66
Multiply by the                        ones place.
tens. Regroup                       (PLACEHOLDER)
 if necessary.                        Scratch out



                      70 0
                                     previous work.
Find 874 x 59
                        32
                      874
  STEP ZERO:                         STEP ONE:
 Use guidelines                      Multiply by
 to keep work                     the ones. Regroup



                      x 59
     neat.                          if necessary.

                                      STEP TWO:
 STEP THREE:                      Place a zero in the



                     78 66
Multiply by the                        ones place.
tens. Regroup                       (PLACEHOLDER)
 if necessary.                        Scratch out



                      70 0
                                     previous work.
Find 874 x 59
                        32
                    874
  STEP ZERO:                         STEP ONE:
 Use guidelines                      Multiply by
 to keep work                     the ones. Regroup



                    x 59
     neat.                          if necessary.

                                      STEP TWO:
 STEP THREE:                      Place a zero in the



                   78 66
Multiply by the                        ones place.
tens. Regroup                       (PLACEHOLDER)
 if necessary.                        Scratch out



                  4370 0
                                     previous work.
Find 874 x 59
                        32
                  874
  STEP ZERO:                         STEP ONE:
 Use guidelines                      Multiply by
 to keep work                     the ones. Regroup



                  x 59
     neat.                          if necessary.

                                      STEP TWO:
 STEP THREE:                      Place a zero in the



                78 66
Multiply by the                        ones place.
tens. Regroup                       (PLACEHOLDER)
 if necessary.                        Scratch out



             + 43 70 0
                                     previous work.
Find 874 x 59
                           32
                     874
     STEP ZERO:                         STEP ONE:
    Use guidelines                      Multiply by
    to keep work                     the ones. Regroup



                     x 59
        neat.                          if necessary.

                                         STEP TWO:
    STEP THREE:                      Place a zero in the



                   78 66
   Multiply by the                        ones place.
   tens. Regroup                       (PLACEHOLDER)
    if necessary.                        Scratch out



                + 43 70 0
                                        previous work.



    STEP FOUR:
 Add the products.
Regroup if necessary.
Find 874 x 59
                           32
                      874
     STEP ZERO:                         STEP ONE:
    Use guidelines                      Multiply by
    to keep work                     the ones. Regroup




                    1 x 59
        neat.                          if necessary.

                                         STEP TWO:
    STEP THREE:                      Place a zero in the


                  1 78 66
   Multiply by the                        ones place.
   tens. Regroup                       (PLACEHOLDER)
    if necessary.                        Scratch out



                + 43 70 0
                                        previous work.




                 5 1 566
    STEP FOUR:
 Add the products.
Regroup if necessary.

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4-7 Multiplying by One-Digit and Two-Digit Numbers

  • 1. 4-7 Multiplying by One- Digit and Two-Digit Numbers Math Notes Number Sense 1.0
  • 3. Find 28 x 12 28 x 12
  • 4. Find 28 x 12 28 Break 12 into two addends. x 12
  • 5. Find 28 x 12 28 Break 12 into two addends. x 12 10 2
  • 6. Find 28 x 12 28 Break 12 into two addends. Multiply both by 28 x 12 10 2
  • 7. Find 28 x 12 28 Break 12 into two addends. Multiply both by 28 x 12 28 28 x 10 x 2
  • 8. Find 28 x 12 28 Break 12 into two addends. Multiply both by 28 x 12 28 28 x 10 x 2 280
  • 9. Find 28 x 12 28 Break 12 into two addends. Multiply both by 28 x 12 28 28 1 x 10 x 2 280 6
  • 10. Find 28 x 12 28 Break 12 into two addends. Multiply both by 28 x 12 28 28 1 x 10 x 2 280 56
  • 11. Find 28 x 12 28 Break 12 into two addends. Multiply both by 28 x 12 28 28 1 x 10 x 2 280 56 Add 280 + 56
  • 12. Find 28 x 12 28 Break 12 into two addends. Multiply both by 28 x 12 28 28 1 x 10 x 2 280 56 Add 280 + 56 280 + 56 =
  • 13. Find 28 x 12 28 Break 12 into two addends. Multiply both by 28 x 12 28 28 1 x 10 x 2 280 56 Add 280 + 56 280 + 56 = 336
  • 14. OR Find 28 x 12 28 Break 12 into two addends. Multiply both by 28 x 12 28 28 1 x 10 x 2 280 56 Add 280 + 56 280 + 56 = 336
  • 15. Find 28 x 12 28 x 12
  • 16. Find 28 x 12 28 STEP ZERO: Use guidelines to keep work x 12 neat.
  • 17. Find 28 x 12 28 STEP ZERO: Use guidelines to keep work x 12 neat.
  • 18. Find 28 x 12 28 STEP ZERO: STEP ONE: Use guidelines Multiply by to keep work the ones. Regroup x 12 neat. if necessary.
  • 19. Find 28 x 12 28 STEP ZERO: STEP ONE: Use guidelines Multiply by to keep work the ones. Regroup x 12 neat. if necessary.
  • 20. Find 28 x 12 1 28 STEP ZERO: STEP ONE: Use guidelines Multiply by to keep work the ones. Regroup x 12 neat. if necessary. 6
  • 21. Find 28 x 12 1 28 STEP ZERO: STEP ONE: Use guidelines Multiply by to keep work the ones. Regroup x 12 neat. if necessary. 6
  • 22. Find 28 x 12 1 28 STEP ZERO: STEP ONE: Use guidelines Multiply by to keep work the ones. Regroup x 12 neat. if necessary. 56
  • 23. Find 28 x 12 1 28 STEP ZERO: STEP ONE: Use guidelines Multiply by to keep work the ones. Regroup x 12 neat. if necessary. STEP TWO: Place a zero in the 56 ones place. (PLACEHOLDER) Scratch out previous work.
  • 24. Find 28 x 12 1 28 STEP ZERO: STEP ONE: Use guidelines Multiply by to keep work the ones. Regroup x 12 neat. if necessary. STEP TWO: Place a zero in the 56 ones place. (PLACEHOLDER) Scratch out 0 previous work.
  • 25. Find 28 x 12 1 28 STEP ZERO: STEP ONE: Use guidelines Multiply by to keep work the ones. Regroup x 12 neat. if necessary. STEP TWO: STEP THREE: Place a zero in the 56 Multiply by the ones place. tens. Regroup (PLACEHOLDER) if necessary. Scratch out 0 previous work.
  • 26. Find 28 x 12 1 28 STEP ZERO: STEP ONE: Use guidelines Multiply by to keep work the ones. Regroup x 12 neat. if necessary. STEP TWO: STEP THREE: Place a zero in the 56 Multiply by the ones place. tens. Regroup (PLACEHOLDER) if necessary. Scratch out 0 previous work.
  • 27. Find 28 x 12 1 28 STEP ZERO: STEP ONE: Use guidelines Multiply by to keep work the ones. Regroup x 12 neat. if necessary. STEP TWO: STEP THREE: Place a zero in the 56 Multiply by the ones place. tens. Regroup (PLACEHOLDER) if necessary. Scratch out 80 previous work.
  • 28. Find 28 x 12 1 28 STEP ZERO: STEP ONE: Use guidelines Multiply by to keep work the ones. Regroup x 12 neat. if necessary. STEP TWO: STEP THREE: Place a zero in the 56 Multiply by the ones place. tens. Regroup (PLACEHOLDER) if necessary. Scratch out 80 previous work.
  • 29. Find 28 x 12 1 28 STEP ZERO: STEP ONE: Use guidelines Multiply by to keep work the ones. Regroup x 12 neat. if necessary. STEP TWO: STEP THREE: Place a zero in the 56 Multiply by the ones place. tens. Regroup (PLACEHOLDER) if necessary. Scratch out 28 0 previous work.
  • 30. Find 28 x 12 1 28 STEP ZERO: STEP ONE: Use guidelines Multiply by to keep work the ones. Regroup x 12 neat. if necessary. STEP TWO: STEP THREE: Place a zero in the 56 Multiply by the ones place. tens. Regroup (PLACEHOLDER) if necessary. Scratch out +28 0 previous work.
  • 31. Find 28 x 12 1 28 STEP ZERO: STEP ONE: Use guidelines Multiply by to keep work the ones. Regroup x 12 neat. if necessary. STEP TWO: STEP THREE: Place a zero in the 56 Multiply by the ones place. tens. Regroup (PLACEHOLDER) if necessary. Scratch out +28 0 previous work. STEP FOUR: Add the products. Regroup if necessary.
  • 32. Find 28 x 12 1 28 STEP ZERO: STEP ONE: Use guidelines Multiply by to keep work the ones. Regroup x 12 neat. if necessary. STEP TWO: STEP THREE: Place a zero in the 1 56 Multiply by the ones place. tens. Regroup (PLACEHOLDER) if necessary. Scratch out +28 0 previous work. 33 6 STEP FOUR: Add the products. Regroup if necessary.
  • 33. Find 354 x 23 354 x 23
  • 34. Find 354 x 23 354 STEP ZERO: Use guidelines to keep work x 23 neat.
  • 35. Find 354 x 23 354 STEP ZERO: Use guidelines to keep work x 23 neat.
  • 36. Find 354 x 23 354 STEP ZERO: STEP ONE: Use guidelines Multiply by to keep work the ones. Regroup x 23 neat. if necessary.
  • 37. Find 354 x 23 354 STEP ZERO: STEP ONE: Use guidelines Multiply by to keep work the ones. Regroup x 23 neat. if necessary.
  • 38. Find 354 x 23 1 354 STEP ZERO: STEP ONE: Use guidelines Multiply by to keep work the ones. Regroup x 23 neat. if necessary. 2
  • 39. Find 354 x 23 1 354 STEP ZERO: STEP ONE: Use guidelines Multiply by to keep work the ones. Regroup x 23 neat. if necessary. 2
  • 40. Find 354 x 23 1 1 354 STEP ZERO: STEP ONE: Use guidelines Multiply by to keep work the ones. Regroup x 23 neat. if necessary. 62
  • 41. Find 354 x 23 1 1 354 STEP ZERO: STEP ONE: Use guidelines Multiply by to keep work the ones. Regroup x 23 neat. if necessary. 62
  • 42. Find 354 x 23 1 1 354 STEP ZERO: STEP ONE: Use guidelines Multiply by to keep work the ones. Regroup x 23 neat. if necessary. 1062
  • 43. Find 354 x 23 1 1 354 STEP ZERO: STEP ONE: Use guidelines Multiply by to keep work the ones. Regroup x 23 neat. if necessary. STEP TWO: Place a zero in the 1062 ones place. (PLACEHOLDER) Scratch out previous work.
  • 44. Find 354 x 23 354 STEP ZERO: STEP ONE: Use guidelines Multiply by to keep work the ones. Regroup x 23 neat. if necessary. STEP TWO: Place a zero in the 1062 ones place. (PLACEHOLDER) Scratch out 0 previous work.
  • 45. Find 354 x 23 354 STEP ZERO: STEP ONE: Use guidelines Multiply by to keep work the ones. Regroup x 23 neat. if necessary. STEP TWO: STEP THREE: Place a zero in the 1062 Multiply by the ones place. tens. Regroup (PLACEHOLDER) if necessary. Scratch out 0 previous work.
  • 46. Find 354 x 23 354 STEP ZERO: STEP ONE: Use guidelines Multiply by to keep work the ones. Regroup x 23 neat. if necessary. STEP TWO: STEP THREE: Place a zero in the 1062 Multiply by the ones place. tens. Regroup (PLACEHOLDER) if necessary. Scratch out 0 previous work.
  • 47. Find 354 x 23 354 STEP ZERO: STEP ONE: Use guidelines Multiply by to keep work the ones. Regroup x 23 neat. if necessary. STEP TWO: STEP THREE: Place a zero in the 1062 Multiply by the ones place. tens. Regroup (PLACEHOLDER) if necessary. Scratch out 80 previous work.
  • 48. Find 354 x 23 354 STEP ZERO: STEP ONE: Use guidelines Multiply by to keep work the ones. Regroup x 23 neat. if necessary. STEP TWO: STEP THREE: Place a zero in the 1062 Multiply by the ones place. tens. Regroup (PLACEHOLDER) if necessary. Scratch out 80 previous work.
  • 49. Find 354 x 23 1 354 STEP ZERO: STEP ONE: Use guidelines Multiply by to keep work the ones. Regroup x 23 neat. if necessary. STEP TWO: STEP THREE: Place a zero in the 1062 Multiply by the ones place. tens. Regroup (PLACEHOLDER) if necessary. Scratch out 08 0 previous work.
  • 50. Find 354 x 23 1 354 STEP ZERO: STEP ONE: Use guidelines Multiply by to keep work the ones. Regroup x 23 neat. if necessary. STEP TWO: STEP THREE: Place a zero in the 1062 Multiply by the ones place. tens. Regroup (PLACEHOLDER) if necessary. Scratch out 08 0 previous work.
  • 51. Find 354 x 23 1 354 STEP ZERO: STEP ONE: Use guidelines Multiply by to keep work the ones. Regroup x 23 neat. if necessary. STEP TWO: STEP THREE: Place a zero in the 1062 Multiply by the ones place. tens. Regroup (PLACEHOLDER) if necessary. Scratch out 708 0 previous work.
  • 52. Find 354 x 23 1 354 STEP ZERO: STEP ONE: Use guidelines Multiply by to keep work the ones. Regroup x 23 neat. if necessary. STEP TWO: STEP THREE: Place a zero in the 1062 Multiply by the ones place. tens. Regroup (PLACEHOLDER) if necessary. Scratch out + 708 0 previous work.
  • 53. Find 354 x 23 1 354 STEP ZERO: STEP ONE: Use guidelines Multiply by to keep work the ones. Regroup x 23 neat. if necessary. STEP TWO: STEP THREE: Place a zero in the 1062 Multiply by the ones place. tens. Regroup (PLACEHOLDER) if necessary. Scratch out + 708 0 previous work. STEP FOUR: Add the products. Regroup if necessary.
  • 54. Find 354 x 23 1 354 STEP ZERO: STEP ONE: Use guidelines Multiply by to keep work the ones. Regroup x 23 neat. if necessary. 1 STEP TWO: STEP THREE: Place a zero in the 1062 Multiply by the ones place. tens. Regroup (PLACEHOLDER) if necessary. Scratch out + 708 0 previous work. 8 1 42 STEP FOUR: Add the products. Regroup if necessary.
  • 55. Find 874 x 59 874 x 59
  • 56. Find 874 x 59 874 STEP ZERO: Use guidelines to keep work x 59 neat.
  • 57. Find 874 x 59 874 STEP ZERO: Use guidelines to keep work x 59 neat.
  • 58. Find 874 x 59 874 STEP ZERO: STEP ONE: Use guidelines Multiply by to keep work the ones. Regroup x 59 neat. if necessary.
  • 59. Find 874 x 59 874 STEP ZERO: STEP ONE: Use guidelines Multiply by to keep work the ones. Regroup x 59 neat. if necessary.
  • 60. Find 874 x 59 3 874 STEP ZERO: STEP ONE: Use guidelines Multiply by to keep work the ones. Regroup x 59 neat. if necessary. 6
  • 61. Find 874 x 59 3 874 STEP ZERO: STEP ONE: Use guidelines Multiply by to keep work the ones. Regroup x 59 neat. if necessary. 6
  • 62. Find 874 x 59 63 874 STEP ZERO: STEP ONE: Use guidelines Multiply by to keep work the ones. Regroup x 59 neat. if necessary. 66
  • 63. Find 874 x 59 63 874 STEP ZERO: STEP ONE: Use guidelines Multiply by to keep work the ones. Regroup x 59 neat. if necessary. 66
  • 64. Find 874 x 59 63 874 STEP ZERO: STEP ONE: Use guidelines Multiply by to keep work the ones. Regroup x 59 neat. if necessary. 78 66
  • 65. Find 874 x 59 63 874 STEP ZERO: STEP ONE: Use guidelines Multiply by to keep work the ones. Regroup x 59 neat. if necessary. STEP TWO: Place a zero in the 78 66 ones place. (PLACEHOLDER) Scratch out previous work.
  • 66. Find 874 x 59 874 STEP ZERO: STEP ONE: Use guidelines Multiply by to keep work the ones. Regroup x 59 neat. if necessary. STEP TWO: Place a zero in the 78 66 ones place. (PLACEHOLDER) Scratch out 0 previous work.
  • 67. Find 874 x 59 874 STEP ZERO: STEP ONE: Use guidelines Multiply by to keep work the ones. Regroup x 59 neat. if necessary. STEP TWO: STEP THREE: Place a zero in the 78 66 Multiply by the ones place. tens. Regroup (PLACEHOLDER) if necessary. Scratch out 0 previous work.
  • 68. Find 874 x 59 874 STEP ZERO: STEP ONE: Use guidelines Multiply by to keep work the ones. Regroup x 59 neat. if necessary. STEP TWO: STEP THREE: Place a zero in the 78 66 Multiply by the ones place. tens. Regroup (PLACEHOLDER) if necessary. Scratch out 0 previous work.
  • 69. Find 874 x 59 2 874 STEP ZERO: STEP ONE: Use guidelines Multiply by to keep work the ones. Regroup x 59 neat. if necessary. STEP TWO: STEP THREE: Place a zero in the 78 66 Multiply by the ones place. tens. Regroup (PLACEHOLDER) if necessary. Scratch out 00 previous work.
  • 70. Find 874 x 59 2 874 STEP ZERO: STEP ONE: Use guidelines Multiply by to keep work the ones. Regroup x 59 neat. if necessary. STEP TWO: STEP THREE: Place a zero in the 78 66 Multiply by the ones place. tens. Regroup (PLACEHOLDER) if necessary. Scratch out 00 previous work.
  • 71. Find 874 x 59 32 874 STEP ZERO: STEP ONE: Use guidelines Multiply by to keep work the ones. Regroup x 59 neat. if necessary. STEP TWO: STEP THREE: Place a zero in the 78 66 Multiply by the ones place. tens. Regroup (PLACEHOLDER) if necessary. Scratch out 70 0 previous work.
  • 72. Find 874 x 59 32 874 STEP ZERO: STEP ONE: Use guidelines Multiply by to keep work the ones. Regroup x 59 neat. if necessary. STEP TWO: STEP THREE: Place a zero in the 78 66 Multiply by the ones place. tens. Regroup (PLACEHOLDER) if necessary. Scratch out 70 0 previous work.
  • 73. Find 874 x 59 32 874 STEP ZERO: STEP ONE: Use guidelines Multiply by to keep work the ones. Regroup x 59 neat. if necessary. STEP TWO: STEP THREE: Place a zero in the 78 66 Multiply by the ones place. tens. Regroup (PLACEHOLDER) if necessary. Scratch out 4370 0 previous work.
  • 74. Find 874 x 59 32 874 STEP ZERO: STEP ONE: Use guidelines Multiply by to keep work the ones. Regroup x 59 neat. if necessary. STEP TWO: STEP THREE: Place a zero in the 78 66 Multiply by the ones place. tens. Regroup (PLACEHOLDER) if necessary. Scratch out + 43 70 0 previous work.
  • 75. Find 874 x 59 32 874 STEP ZERO: STEP ONE: Use guidelines Multiply by to keep work the ones. Regroup x 59 neat. if necessary. STEP TWO: STEP THREE: Place a zero in the 78 66 Multiply by the ones place. tens. Regroup (PLACEHOLDER) if necessary. Scratch out + 43 70 0 previous work. STEP FOUR: Add the products. Regroup if necessary.
  • 76. Find 874 x 59 32 874 STEP ZERO: STEP ONE: Use guidelines Multiply by to keep work the ones. Regroup 1 x 59 neat. if necessary. STEP TWO: STEP THREE: Place a zero in the 1 78 66 Multiply by the ones place. tens. Regroup (PLACEHOLDER) if necessary. Scratch out + 43 70 0 previous work. 5 1 566 STEP FOUR: Add the products. Regroup if necessary.

Editor's Notes