1. 4-7 Multiplying by One-
Digit and Two-Digit
Numbers
Math Notes
Number Sense 1.0

2. Find 28 x 12

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.