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2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside 3) Add the outside and the inside together plus any carry and write down the units digit 4) Multiply the first digits together and add and carry. Write down the number Work Backwards The Rainbow Method 3(2 ) 2(2)+3( 1) 2(1 ) 6 7 2 276 Used when you forget a rule about 2x2 multiplication
106

23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

Dec 13, 2015

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Beryl Butler
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Page 1: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

2x2 Foil (LIOF)

23 x 121) The last number is the units digit of the product of the unit’s digits2) Multiply the outside, multiply the inside3) Add the outside and the inside together plus any carry and write down the units digit4) Multiply the first digits together and add and carry. Write down the number

Work Backwards

The Rainbow Method

3(2)2(2)+3(1)2(1)672

276

Used when you forget a rule about 2x2 multiplication

Page 2: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL Drill

Depending on how much you would like to practice, number your notebook paper 1 thru 100.

For the next slides you will have 6 seconds per slide.

Try doing the questions mentally.

Page 3: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

At any point you want to stop, go to the very end of this presentation to check your

answers.

Award yourself 5 points for every correct answer.

Deduct 4 points for every wrong answer, scratched out answer, skipped problem,

and problem you had scratch work.

Page 4: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL Drill

The highest possible score will be 500, the lowest -400.

The more you practice the better you will get!

Have FUN!!

Page 5: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

33 x 88

1)

Page 6: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

29 x 36

2)

Page 7: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

34 x 58

3)

Page 8: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

14 x 88

4)

Page 9: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

73 x 82

5)

Page 10: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

36 x 19

6)

Page 11: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

77 x 47

7)

Page 12: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

27 x 54

8)

Page 13: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

59 x 54

9)

Page 14: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

52 x 88

10)

Page 15: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

36 x 86

11)

Page 16: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

63 x 23

12)

Page 17: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

33 x 14

13)

Page 18: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

52 x 97

14)

Page 19: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

74 x 42

15)

Page 20: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

53 x 39

16)

Page 21: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

38 x 76

17)

Page 22: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

49 x 91

18)

Page 23: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

31 x 46

19)

Page 24: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

14 x 99

20)

Page 25: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

53 x 57

21)

Page 26: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

96 x 22

22)

Page 27: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

85 x 18

23)

Page 28: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

67 x 18

24)

Page 29: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

97 x 58

25)

Page 30: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

43 x 44

26)

Page 31: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

56 x 16

27)

Page 32: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

37 x 62

28)

Page 33: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

34 x 57

29)

Page 34: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

51 x 38

30)

Page 35: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

31 x 14

31)

Page 36: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

19 x 23

32)

Page 37: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

51 x 59

33)

Page 38: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

31 x 21

34)

Page 39: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

84 x 13

35)

Page 40: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

41 x 21

36)

Page 41: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

66 x 29

37)

Page 42: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

74 x 63

38)

Page 43: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

68 x 93

39)

Page 44: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

24 x 21

40)

Page 45: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

53 x 82

41)

Page 46: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

63 x 41

42)

Page 47: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

96 x 28

43)

Page 48: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

16 x 93

44)

Page 49: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

39 x 92

45)

Page 50: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

37 x 46

46)

Page 51: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

36 x 63

47)

Page 52: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

61 x 69

48)

Page 53: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

77 x 93

49)

Page 54: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

49 x 59

50)

Page 55: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

96 x 23

51)

Page 56: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

82 x 87

52)

Page 57: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

32 x 71

53)

Page 58: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

49 x 17

54)

Page 59: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

21 x 43

55)

Page 60: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

91 x 23

56)

Page 61: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

37 x 31

57)

Page 62: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

97 x 62

58)

Page 63: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

82 x 64

59)

Page 64: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

93 x 39

60)

Page 65: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

73 x 76

61)

Page 66: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

83 x 79

62)

Page 67: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

28 x 69

63)

Page 68: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

68 x 49

64)

Page 69: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

33 x 67

65)

Page 70: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

33 x 28

66)

Page 71: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

97 x 76

67)

Page 72: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

58 x 49

68)

Page 73: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

57 x 74

69)

Page 74: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

58 x 37

70)

Page 75: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

58 x 27

71)

Page 76: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

14 x 52

72)

Page 77: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

96 x 16

73)

Page 78: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

67 x 36

74)

Page 79: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

52 x 82

75)

Page 80: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

62 x 91

76)

Page 81: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

14 x 89

77)

Page 82: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

63 x 43

78)

Page 83: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

16 x 83

79)

Page 84: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

53 x 68

80)

Page 85: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

21 x 36

81)

Page 86: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

34 x 71

82)

Page 87: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

74 x 22

83)

Page 88: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

99 x 56

84)

Page 89: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

81 x 34

85)

Page 90: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

73 x 94

86)

Page 91: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

47 x 68

87)

Page 92: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

74 x 79

88)

Page 93: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

53 x 92

89)

Page 94: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

52 x 91

90)

Page 95: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

46 x 54

91)

Page 96: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

16 x 92

92)

Page 97: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

23 x 28

93)

Page 98: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

83 x 66

94)

Page 99: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

98 x 99

95)

Page 100: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

57 x 43

96)

Page 101: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

96 x 82

97)

Page 102: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

49 x 63

98)

Page 103: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

26 x 29

99)

Page 104: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL

89 x 88

100)

Page 105: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL Drill Answer key part one1) 29042) 10443) 19724) 12325) 59866) 6847) 36198) 14589) 318610) 457611) 309612) 144913) 46214) 504415) 3108

16) 206717) 288818) 445919) 142620) 138621) 302122) 211223) 153024) 120625) 562626) 189227) 89628) 229429) 193830) 1938

31) 43432) 43733) 300934) 65135) 109236) 86137) 191438) 466239) 632440) 50441) 434642) 258343) 268844) 148845) 3588

46) 170247) 226848) 420949) 716150) 289151) 220852) 713453) 227254) 83355) 90356) 209357) 114758) 601459) 524860) 3627

Page 106: 23 x 12 2x2 Foil (LIOF) 23 x 12 1) The last number is the units digit of the product of the unit’s digits 2) Multiply the outside, multiply the inside.

FOIL Drill Answer key part two61) 554862) 655763) 193264) 333265) 221166) 92467) 737268) 284269) 421870) 214671) 156672) 72873) 153674) 241275) 4264

76) 564277) 124678) 270979) 132880) 360481) 75682) 241483) 162884) 554485) 275486) 686287) 319688) 584689) 487690) 4732

91) 248492) 147293) 64494) 547895) 970296) 245197) 787298) 308799) 754100) 7832