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

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

1. 1. 4-7 Multiplying by One- Digit and Two-Digit Numbers Math Notes Number Sense 1.0
2. 2. Find 28 x 12
3. 3. Find 28 x 12 28x 12
4. 4. Find 28 x 12 28 Break 12 into two addends.x 12
5. 5. Find 28 x 12 28 Break 12 into two addends.x 12 10 2
6. 6. Find 28 x 12 28 Break 12 into two addends. Multiply both by 28x 12 10 2
7. 7. Find 28 x 12 28 Break 12 into two addends. Multiply both by 28x 12 28 28 x 10 x 2
8. 8. Find 28 x 12 28 Break 12 into two addends. Multiply both by 28x 12 28 28 x 10 x 2 280
9. 9. Find 28 x 12 28 Break 12 into two addends. Multiply both by 28x 12 28 28 1 x 10 x 2 280 6
10. 10. Find 28 x 12 28 Break 12 into two addends. Multiply both by 28x 12 28 28 1 x 10 x 2 280 56
11. 11. Find 28 x 12 28 Break 12 into two addends. Multiply both by 28x 12 28 28 1 x 10 x 2 280 56 Add280 + 56
12. 12. Find 28 x 12 28 Break 12 into two addends. Multiply both by 28x 12 28 28 1 x 10 x 2 280 56 Add280 + 56 280 + 56 =
13. 13. Find 28 x 12 28 Break 12 into two addends. Multiply both by 28x 12 28 28 1 x 10 x 2 280 56 Add280 + 56 280 + 56 = 336
14. 14. OR Find 28 x 12 28 Break 12 into two addends. Multiply both by 28x 12 28 28 1 x 10 x 2 280 56 Add280 + 56 280 + 56 = 336
15. 15. Find 28 x 12 28 x 12
16. 16. Find 28 x 12 28 STEP ZERO:Use guidelinesto keep work x 12 neat.
17. 17. Find 28 x 12 28 STEP ZERO:Use guidelinesto keep work x 12 neat.
18. 18. Find 28 x 12 28 STEP ZERO: STEP ONE:Use guidelines Multiply byto keep work the ones. Regroup x 12 neat. if necessary.
19. 19. Find 28 x 12 28 STEP ZERO: STEP ONE:Use guidelines Multiply byto keep work the ones. Regroup x 12 neat. if necessary.
20. 20. Find 28 x 12 1 28 STEP ZERO: STEP ONE:Use guidelines Multiply byto keep work the ones. Regroup x 12 neat. if necessary. 6
21. 21. Find 28 x 12 1 28 STEP ZERO: STEP ONE:Use guidelines Multiply byto keep work the ones. Regroup x 12 neat. if necessary. 6
22. 22. Find 28 x 12 1 28 STEP ZERO: STEP ONE:Use guidelines Multiply byto keep work the ones. Regroup x 12 neat. if necessary. 56
23. 23. Find 28 x 12 1 28 STEP ZERO: STEP ONE:Use guidelines Multiply byto 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. 24. Find 28 x 12 1 28 STEP ZERO: STEP ONE:Use guidelines Multiply byto 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. 25. Find 28 x 12 1 28 STEP ZERO: STEP ONE:Use guidelines Multiply byto keep work the ones. Regroup x 12 neat. if necessary. STEP TWO: STEP THREE: Place a zero in the 56Multiply by the ones place.tens. Regroup (PLACEHOLDER) if necessary. Scratch out 0 previous work.
26. 26. Find 28 x 12 1 28 STEP ZERO: STEP ONE:Use guidelines Multiply byto keep work the ones. Regroup x 12 neat. if necessary. STEP TWO: STEP THREE: Place a zero in the 56Multiply by the ones place.tens. Regroup (PLACEHOLDER) if necessary. Scratch out 0 previous work.
27. 27. Find 28 x 12 1 28 STEP ZERO: STEP ONE:Use guidelines Multiply byto keep work the ones. Regroup x 12 neat. if necessary. STEP TWO: STEP THREE: Place a zero in the 56Multiply by the ones place.tens. Regroup (PLACEHOLDER) if necessary. Scratch out 80 previous work.
28. 28. Find 28 x 12 1 28 STEP ZERO: STEP ONE:Use guidelines Multiply byto keep work the ones. Regroup x 12 neat. if necessary. STEP TWO: STEP THREE: Place a zero in the 56Multiply by the ones place.tens. Regroup (PLACEHOLDER) if necessary. Scratch out 80 previous work.
29. 29. Find 28 x 12 1 28 STEP ZERO: STEP ONE:Use guidelines Multiply byto keep work the ones. Regroup x 12 neat. if necessary. STEP TWO: STEP THREE: Place a zero in the 56Multiply by the ones place.tens. Regroup (PLACEHOLDER) if necessary. Scratch out 28 0 previous work.
30. 30. Find 28 x 12 1 28 STEP ZERO: STEP ONE:Use guidelines Multiply byto keep work the ones. Regroup x 12 neat. if necessary. STEP TWO: STEP THREE: Place a zero in the 56Multiply by the ones place.tens. Regroup (PLACEHOLDER) if necessary. Scratch out +28 0 previous work.
31. 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. 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. 33. Find 354 x 23 354 x 23
34. 34. Find 354 x 23 354 STEP ZERO:Use guidelinesto keep work x 23 neat.
35. 35. Find 354 x 23 354 STEP ZERO:Use guidelinesto keep work x 23 neat.
36. 36. Find 354 x 23 354 STEP ZERO: STEP ONE:Use guidelines Multiply byto keep work the ones. Regroup x 23 neat. if necessary.
37. 37. Find 354 x 23 354 STEP ZERO: STEP ONE:Use guidelines Multiply byto keep work the ones. Regroup x 23 neat. if necessary.
38. 38. Find 354 x 23 1 354 STEP ZERO: STEP ONE:Use guidelines Multiply byto keep work the ones. Regroup x 23 neat. if necessary. 2
39. 39. Find 354 x 23 1 354 STEP ZERO: STEP ONE:Use guidelines Multiply byto keep work the ones. Regroup x 23 neat. if necessary. 2
40. 40. Find 354 x 23 1 1 354 STEP ZERO: STEP ONE:Use guidelines Multiply byto keep work the ones. Regroup x 23 neat. if necessary. 62
41. 41. Find 354 x 23 1 1 354 STEP ZERO: STEP ONE:Use guidelines Multiply byto keep work the ones. Regroup x 23 neat. if necessary. 62
42. 42. Find 354 x 23 1 1 354 STEP ZERO: STEP ONE:Use guidelines Multiply byto keep work the ones. Regroup x 23 neat. if necessary. 1062
43. 43. Find 354 x 23 1 1 354 STEP ZERO: STEP ONE:Use guidelines Multiply byto 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. 44. Find 354 x 23 354 STEP ZERO: STEP ONE:Use guidelines Multiply byto 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. 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 1062Multiply by the ones place.tens. Regroup (PLACEHOLDER) if necessary. Scratch out 0 previous work.
46. 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 1062Multiply by the ones place.tens. Regroup (PLACEHOLDER) if necessary. Scratch out 0 previous work.
47. 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 1062Multiply by the ones place.tens. Regroup (PLACEHOLDER) if necessary. Scratch out 80 previous work.
48. 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 1062Multiply by the ones place.tens. Regroup (PLACEHOLDER) if necessary. Scratch out 80 previous work.
49. 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 1062Multiply by the ones place.tens. Regroup (PLACEHOLDER) if necessary. Scratch out 08 0 previous work.
50. 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 1062Multiply by the ones place.tens. Regroup (PLACEHOLDER) if necessary. Scratch out 08 0 previous work.
51. 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 1062Multiply by the ones place.tens. Regroup (PLACEHOLDER) if necessary. Scratch out 708 0 previous work.
52. 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 1062Multiply by the ones place.tens. Regroup (PLACEHOLDER) if necessary. Scratch out + 708 0 previous work.
53. 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. 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. 55. Find 874 x 59 874 x 59
56. 56. Find 874 x 59 874 STEP ZERO:Use guidelinesto keep work x 59 neat.
57. 57. Find 874 x 59 874 STEP ZERO:Use guidelinesto keep work x 59 neat.
58. 58. Find 874 x 59 874 STEP ZERO: STEP ONE:Use guidelines Multiply byto keep work the ones. Regroup x 59 neat. if necessary.
59. 59. Find 874 x 59 874 STEP ZERO: STEP ONE:Use guidelines Multiply byto keep work the ones. Regroup x 59 neat. if necessary.
60. 60. Find 874 x 59 3 874 STEP ZERO: STEP ONE:Use guidelines Multiply byto keep work the ones. Regroup x 59 neat. if necessary. 6
61. 61. Find 874 x 59 3 874 STEP ZERO: STEP ONE:Use guidelines Multiply byto keep work the ones. Regroup x 59 neat. if necessary. 6
62. 62. Find 874 x 59 63 874 STEP ZERO: STEP ONE:Use guidelines Multiply byto keep work the ones. Regroup x 59 neat. if necessary. 66
63. 63. Find 874 x 59 63 874 STEP ZERO: STEP ONE:Use guidelines Multiply byto keep work the ones. Regroup x 59 neat. if necessary. 66
64. 64. Find 874 x 59 63 874 STEP ZERO: STEP ONE:Use guidelines Multiply byto keep work the ones. Regroup x 59 neat. if necessary. 78 66
65. 65. Find 874 x 59 63 874 STEP ZERO: STEP ONE:Use guidelines Multiply byto 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. 66. Find 874 x 59 874 STEP ZERO: STEP ONE:Use guidelines Multiply byto 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. 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 66Multiply by the ones place.tens. Regroup (PLACEHOLDER) if necessary. Scratch out 0 previous work.
68. 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 66Multiply by the ones place.tens. Regroup (PLACEHOLDER) if necessary. Scratch out 0 previous work.
69. 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 66Multiply by the ones place.tens. Regroup (PLACEHOLDER) if necessary. Scratch out 00 previous work.
70. 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 66Multiply by the ones place.tens. Regroup (PLACEHOLDER) if necessary. Scratch out 00 previous work.
71. 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 66Multiply by the ones place.tens. Regroup (PLACEHOLDER) if necessary. Scratch out 70 0 previous work.
72. 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 66Multiply by the ones place.tens. Regroup (PLACEHOLDER) if necessary. Scratch out 70 0 previous work.
73. 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 66Multiply by the ones place.tens. Regroup (PLACEHOLDER) if necessary. Scratch out 4370 0 previous work.
74. 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 66Multiply by the ones place.tens. Regroup (PLACEHOLDER) if necessary. Scratch out + 43 70 0 previous work.
75. 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. 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.