1. Distributive Property and GCF

2. The word “distribute” means “to give out.”

3. Distribute the cubes to the girls.

4. Distribute the cubes to the girls.

5. Distribute the cubes to the girls.

6. Distribute the cubes to the girls.

7. Distribute the cubes to the girls.

8. Distribute the cubes to the girls.

9. In this example, the 5 was distributed.
5 x 38 = 5 x (30 + 8) = (5 x 30) + (5 x 8)

10. In this example, the 7 was distributed.
7 x 46 = 7 x (40 + 6) = (7 x 40) + (7 x 6)

11. Find the area of the rectangle. Area = length x width

12. Find the area of the rectangle. Area = length x width

13. Find the area of the rectangle. Area = length x width
20 ft ft

14. Find the area of the rectangle. Area = length x width
20 ft ft

15. Find the area of the rectangle. Area = length x width
20 ft ft

16. Find the area of the rectangle. Area = length x width
Find the area of each rectangle.
6 ft
6 ft
20 ft ft

17. Find the area of the rectangle. Area = length x width
Find the area of each rectangle.
6 ft
6 ft
6 x 20 = 120 sq ft
20 ft ft

18. Find the area of the rectangle. Area = length x width
Find the area of each rectangle.
6 ft
6 ft
6 x 20 = 120 sq ft
6 x 4 = 24
sq ft
20 ft ft

19. Find the area of the rectangle. Area = length x width
Find the area of each rectangle.
6 ft
6 ft
120 sq ft
24 sq ft
20 ft ft

20. Find the area of the rectangle. Area = length x width
Now put the two rectangles back together.
6 ft
6 ft
120 sq ft
24 sq ft
20 ft ft

21. Find the area of the rectangle. Area = length x width
Now put the two rectangles back together.
6 ft
120 sq ft
24 sq ft
20 ft ft

22. Find the area of the rectangle. Area = length x width
Now put the two rectangles back together.
6 ft
120 sq ft
24 sq ft
20 ft ft

23. Find the area of the rectangle. Area = length x width
Now put the two rectangles back together.
6 ft
120 sq ft
+ 24 sq ft
24 ft

24. Find the area of the rectangle. Area = length x width
Now put the two rectangles back together.
6 ft
144 sq ft
24 ft

25. A swimming pool has a shallow end and a deep end
A swimming pool has a shallow end and a deep end. Find the surface area of the pool.
deepwater
8 yds
shallow water
5 yds
10 yds

26. Break the pool into a deep end and a shallow end.
deepwater
8 yds
8 yds
shallow water
10 yds
5 yds

27. Find the area of the deep end.
deepwater
8 yds
8 yds
shallow water
10 yds
5 yds

28. Find the area of the deep end.
8 x 5 = 40
8 yds
8 yds
shallow water
10 yds
5 yds

29. Find the area of the shallow end.
8 x 5 = 40
8 yds
8 yds
shallow water
10 yds
5 yds

30. Find the area of the shallow end.
8 x 5 = 40
8 yds
8 yds
8 x 10 = 80
10 yds
5 yds

31. Now sum the two areas together.
8 x 5 = 40
8 yds
8 yds
8 x 10 = 80
10 yds
5 yds

32. Now sum the two areas together.40 80 +
8 yds
10 yds
5 yds

33. = 120 square yards 40 80
8 yds
5 yds
10 yds

34. Write an expression that shows how to find the area of the rectangle and uses the distributive property.
9 yds
5 yds
20 yds

35. Find the areas for each individual rectangle.
9 yds
5 yds
20 yds

36. Find the areas for each individual rectangle.
9 yds
(9 x 5)
5 yds
20 yds

37. Find the areas for each individual rectangle.
9 yds
(9 x 5)
(9 x 20)
5 yds
20 yds

38. Sum the two areas.
9 yds +
(9 x 5)
(9 x 20)
5 yds
20 yds

39. (9 x 5) + (9 x 20) = area
9 yds
(9 x 5)
(9 x 20)
5 yds
20 yds

40. Practice Time

41. 1) Which of the following expressions shows the distributive property for 5 x (3 + 7)?
(5 x 3) x (5 x 7)
(5 x 3) + (5 x 7)

42. 1) Which of the following expressions shows the distributive property for 5 x (3 + 7)?
Correct!
(5 x 3) + (5 x 7)

43. 2) Which of the following expressions shows the distributive property for 3 x (9 + 4) ?
(3 x 9) + (3 x 4)
(3 + 9) + (3 + 4)
(3 + 9) x (3 + 4)

44. 2) Which of the following expressions shows the distributive property for 3 x (9 + 4) ?
(3 x 9) + (3 x 4)
Correct!

45. 3) Which of the following expressions is equivalent to: and shows the distributive property.
2 x (2 + 3)
3 x (2 + 3)

46. 3) Which of the following expressions is equivalent to: and uses the distributive property.
2 x (2 + 3)
Correct!

47. 4) Which of the following expressions is equivalent to: (4 x 3) + (4 x 8) ?

48. 4) Which of the following expressions is equivalent to: (4 x 3) + (4 x 8) ?
Correct!
4 x (3 + 8)

49. 5) Which of the following expressions is equivalent to: (5 x 9) + (5 x 3) ?

50. 5) Which of the following expressions is equivalent to: (5 x 9) + (5 x 3) ?
Correct!

51. 6) Write an expression that shows how to find the area of the rectangle and uses the distributive property.
4 yds
3 yds
9 yds

52. 6) Write an expression that shows how to find the area of the rectangle and uses the distributive property.
4 yds
3 yds
9 yds

53. 6) Write an expression that shows how to find the area of the rectangle and uses the distributive property.
4 yds
3 yds
9 yds

54. 6) Write an expression that shows how to find the area of the rectangle and uses the distributive property.
4 yds
4 yds
3 yds
9 yds

55. 6) Write an expression that shows how to find the area of the rectangle and uses the distributive property.
4 yds
4 yds
4 x 3
3 yds
9 yds

56. 6) Write an expression that shows how to find the area of the rectangle and uses the distributive property.
4 yds
4 yds
4 x 3
4 x 9
3 yds
9 yds

57. 6) Write an expression that shows how to find the area of the rectangle and uses the distributive property.
4 x 3
4 x 9
4 yds
4 yds
3 yds
9 yds

58. 6) Write an expression that shows how to find the area of the rectangle and uses the distributive property.
4 x 3
4 x 9
4 yds
3 yds
9 yds

59. 6) Write an expression that shows how to find the area of the rectangle and uses the distributive property.
4 x 3
4 x 9
4 yds
3 yds
9 yds

60. 6) Write an expression that shows how to find the area of the rectangle and uses the distributive property.
4 x 3 +
4 x 9
4 yds
3 yds
9 yds

61. 7) Write an expression that shows how to find the area of the rectangle and uses the distributive property.
6 yds
4 yds
8 yds

62. 7) Write an expression that shows how to find the area of the rectangle and uses the distributive property.
6 yds
4 yds
8 yds

63. 7) Write an expression that shows how to find the area of the rectangle and uses the distributive property.
6 yds
4 yds
8 yds

64. 7) Write an expression that shows how to find the area of the rectangle and uses the distributive property.
6 yds
6 yds
4 yds
8 yds

65. 7) Write an expression that shows how to find the area of the rectangle and uses the distributive property.
6 yds
6 yds
6 x 4
4 yds
8 yds

66. 7) Write an expression that shows how to find the area of the rectangle and uses the distributive property.
6 yds
6 yds
6 x 4
6 x 8
4 yds
8 yds

67. 7) Write an expression that shows how to find the area of the rectangle and uses the distributive property.
6 x 4
6 x 8
6 yds
6 yds
4 yds
8 yds

68. 7) Write an expression that shows how to find the area of the rectangle and uses the distributive property.
6 x 4
6 x 8
6 yds
4 yds
8 yds

69. 7) Write an expression that shows how to find the area of the rectangle and uses the distributive property.
6 x 4
6 x 8
6 yds
4 yds
8 yds

70. 7) Write an expression that shows how to find the area of the rectangle and uses the distributive property.
6 x 4 +
6 x 8
6 yds
4 yds
8 yds

71. 8) Write an expression that shows how to find the area of the rectangle and uses the distributive property.
5 yds
2 yds
10 yds

72. 8) Write an expression that shows how to find the area of the rectangle and uses the distributive property.
5 yds
5 x 2
5 x 10
2 yds
10 yds

73. 8) Write an expression that shows how to find the area of the rectangle and uses the distributive property.
5 x 2 +
5 x 10
5 yds
2 yds
10 yds

74. 9) Write an expression that shows how to find the area of the rectangle and uses the distributive property.
8 yds
3 yds
5 yds

75. 9) Write an expression that shows how to find the area of the rectangle and uses the distributive property.
8 yds
8 x 3
8 x 5
3 yds
5 yds

76. 9) Write an expression that shows how to find the area of the rectangle and uses the distributive property.
8 x
8 x 5
8 yds
3 yds
5 yds

77. 10) Write an expression that shows how to find the area of the rectangle and uses the distributive property.
5 yds
x yds
10 yds

78. 10) Write an expression that shows how to find the area of the rectangle and uses the distributive property.
5 yds 5x
5 ∙ 10
x yds
10 yds

79. 10) Write an expression that shows how to find the area of the rectangle and uses the distributive property.
5x +
5 ∙ 10
5 yds
x yds
10 yds

80. 11) Which expression is equivalent to 3(x + 7)?

81. 11) Which expression is equivalent to 3(x + 7)?
Correct!
3x + 21

82. 12) Which expression is equivalent to 4(x + 5)?

83. 12) Which expression is equivalent to 4(x + 5)?
Correct!

84. 13) Which expression is equivalent to 8(x + 2)?

85. 13) Which expression is equivalent to 8(x + 2)?
Correct!

86. 14) Which expression is equivalent to 2(x + 3)?

87. 14) Which expression is equivalent to 2(x + 3)?
Correct!