1. Thursday, Aug 20 Review Lesson 1 Long Multiplication

2. Objective: To review long multiplication.

3. Long Multiplication Long Multiplication is a special method for multiplying larger numbers.

4. Long Multiplication Long Multiplication is a special method for multiplying larger numbers. It is a way to multiply numbers larger than 10 that only needs your knowledge of the ten times Multiplication Table.

5. Long Multiplication Let us say we want to multiply 612 × 24.

6. Long Multiplication Let us say we want to multiply 612 × 24. Before we begin, remember the last digits represent the ones place.

7. Long Multiplication Let us say we want to multiply 612 × 24. The next digits represent numbers in the tens place.

8. Long Multiplication Let us say we want to multiply 612 × 24. The next digits represent numbers in the hundreds place.

9. Long Multiplication Let us say we want to multiply 612 × 24. We could think of this as: 612 + 612 + 612 + 612 + 612 + 612………. 24 times! Remember – multiplication is just a short hand version of addition.

10. Long Multiplication Let us say we want to multiply 612 × 24. We could think of this as: 612x10 + 612x10 + 612x1 + 612x1 + 612x1 + 612x1 Because 10 + 10 + 1 + 1 + 1 + 1 = 24

11. Long Multiplication Let us say we want to multiply 612 × 24. We could think of this as: 612x10 + 612x10 + 612x1 + 612x1 + 612x1 + 612x1 6210 + 6210 + 612 + 612 + 612 + 612

12. Long Multiplication Let us say we want to multiply 612 × 24. 612x10 + 612x10 + 612x1 + 612x1 + 612x1 + 612x1 6210 + 6210 + 612 + 612 + 612 + 612 6210 612 14688

13. Long Multiplication Let us say we want to multiply 612 × 24. We can think of this as 612 x 20 + 612 x 4 Because 20 + 4 = 24

14. Long Multiplication Let us say we want to multiply 612 × 24. We can think of this as 612 x 20 + 612 x 4. 12,240+ 2,448

15. Long Multiplication Let us say we want to multiply 612 × 24. We can think of this as 612 x 20 + 612 x 4. 12,240+ 2,448 14,688

16. Long Multiplication Let us say we want to multiply 612 × 24 Or we can use the long multiplication method.

17. Long Multiplication Let us say we want to multiply 612 × 24 Long Multiplication Method Stack the numbers with the number with the most digits on top, making sure to line up the digits from the right.

18. Long Multiplication Let us say we want to multiply 612 × 24 612 x 24 What’s next?

19. Long Multiplication Let us say we want to multiply 612 × 24 612 x 24 8 What’s next?

20. Long Multiplication Let us say we want to multiply 612 × 24 612 x 24 48 What’s next?

21. Long Multiplication Let us say we want to multiply 612 × 24 612 x 24 2448 What’s next?

22. Long Multiplication Let us say we want to multiply 612 × 24 612 x 24 2448 0 What’s next?

23. Long Multiplication Let us say we want to multiply 612 × 24 612 x 24 2448 40 What’s next?

24. Long Multiplication Let us say we want to multiply 612 × 24 612 x 24 2448 240 What’s next?

25. Long Multiplication Let us say we want to multiply 612 × 24 612 x 24 2448 12240 What’s next?

26. Long Multiplication Let us say we want to multiply 612 × 24 612 x 24 2448 612 x 4 12240 612 x 20 What’s next?

27. Long Multiplication Let us say we want to multiply 612 × 24 612 x 24 2448 + 12240 14688

28. Long Multiplication What is 534 × 13 ?

29. Long Multiplication What is 534 × 13 ? 1 534 x 13 1602 + 5340 6942

30. Long Multiplication What is 156 × 27 ?

31. Long Multiplication What is 156 × 27 ? 156 x 27 1092 + 312 1404

32. Long Multiplication What is 156 × 27 ? 156 x 27 1092 + 312 anytime this number 1404 is less than the one above it, something is wrong.

33. Long Multiplication What is 156 × 27 ? 156 x 27 1092 + 3120 4212

34. Long Multiplication What is 400 × 15 ?

35. Long Multiplication What is 400 × 15 ? 400 x 15 2000 + 4000 6000 or………..

36. Long Multiplication What is 400 × 15 ? 400 x 10 = 4000 Since 5 is half of 10, 400 x 5 is half of 400 x 10, or 2000 Than add them together, 4000 + 2000 = 6000

37. Long Multiplication What is 427 × 378 ?

38. Long Multiplication What is 427 × 378 ? 427 x 378 3416 29890 + 128100 161406

39. Long Multiplication What is 22 × 21 ?

40. Long Multiplication What is 22 × 21 ? 22 x 21 22 + 440 462

41. Long Multiplication What is 22 × 21 ? The traditional long multiplication method works as long as you know your multiplication tables. What can you do if you do not know your multiplication tables?

42. Long Multiplication What is 22 × 21 ? The Chinese Method of Long Multiplication. Which is similar to the lattice method.

43. Long Multiplication What is 22 × 21 ?

44. Long Multiplication What is 22 × 21 ?

45. Long Multiplication What is 22 × 21 ?

46. Long Multiplication What is 22 × 21 ?

47. Long Multiplication What is 22 × 21 ?

48. Long Multiplication What is 22 × 21 ? 2

49. Long Multiplication What is 22 × 21 ? 2

50. Long Multiplication What is 22 × 21 ? 2 6

51. Long Multiplication What is 22 × 21 ? 2 6

52. Long Multiplication What is 22 × 21 ? 2 6 4

53. Long Multiplication What is 22 × 21 = 462 2 6 4

54. Long Multiplication Sometimes with the Chinese Method when the is more than 9 “crosses” you will need to “carry” just as in the traditional long multiplication method.

55. Long Multiplication What is 52 × 34 ?

56. Long Multiplication What is 52 × 34 ?

57. Long Multiplication What is 52 × 34 ?

58. Long Multiplication What is 52 × 34 ?

59. Long Multiplication What is 52 × 34 ?

60. Long Multiplication What is 52 × 34 ?

61. Long Multiplication What is 52 × 34 ? 8

62. Long Multiplication What is 52 × 34 ? 8

63. Long Multiplication What is 52 × 34 ? 8 6 +2

64. Long Multiplication What is 52 × 34 ? 8 6 +2

65. Long Multiplication What is 52 × 34 ? 8 6 15+2

66. Long Multiplication What is 52 × 34 ? 1768 8 6 15+2

67. Long Multiplication Sometimes with the Chinese Method when the numbers have a different amount of digits, you have to add zeros so both numbers have the same amount of digits.

68. Long Multiplication What is 132 × 11 ?

69. Long Multiplication What is 132 × 011 ?

70. Long Multiplication What is 132 × 011 ?

71. Long Multiplication What is 132 × 011 ?

72. Long Multiplication What is 132 × 011 ?

73. Long Multiplication What is 132 × 011 ?

74. Long Multiplication What is 132 × 011?

75. Long Multiplication What is 132 × 011 ?

76. Long Multiplication What is 132 × 011 ?

77. Long Multiplication What is 132 × 011 ? 2

78. Long Multiplication What is 132 × 011 ? 2

79. Long Multiplication What is 132 × 011 ? 2 5

80. Long Multiplication What is 132 × 011 ? 2 5

81. Long Multiplication What is 132 × 011 ? 2 5 4

82. Long Multiplication What is 132 × 011 ? 2 5 4

83. Long Multiplication What is 132 × 011 ? 2 5 4 1

84. Long Multiplication What is 132 × 011 ? 1452 2 5 4 1

85. Long Multiplication What is 145 × 23 ? 8 6 15+2

86. Long Multiplication What is 145 × 023 ? 8 6 15+2

87. Long Multiplication What is 145 × 023 ?

88. Long Multiplication What is 145 × 023 ?

89. Long Multiplication What is 145 × 023 ?

90. Long Multiplication What is 145 × 023 ?

91. Long Multiplication What is 145 × 023 ?

92. Long Multiplication What is 145 × 023 ?

93. Long Multiplication What is 145 × 023 ?

94. Long Multiplication What is 145 × 023 ? 5 +1

95. Long Multiplication What is 145 × 023 ? 5 +1

96. Long Multiplication What is 145 × 023 ? 5 2+1 +2

97. Long Multiplication What is 145 × 023 ? 5 2+1 +2

98. Long Multiplication What is 145 × 023 ? 5 2+1 1+2 +1

99. Long Multiplication What is 145 × 023 ? 5 2+1 1+2 +1

100. Long Multiplication What is 145 × 023 ? 5 2+1 1+2 2+1

101. Long Multiplication What is 145 × 023 ? 3335 5 2+1 1+2 2+1

102. Long Multiplication Agenda Notes Homework – Homework Practice R.1 Due Friday, Aug 21