%20(1)%20(2).webp){kind=small}
Distributive Property
Name:
Date:
1. Complete.
-
a. 8 (5 + 4) = 40 +
-
b. 3 (5 + 4) = × + ×
-
c. 21 + 35 = 7 (3 + )
-
d. 18 + 6 = 6 ( + )
-
e. 18 + 12 = 6 ( + 2 )
-
f. × ( + ) = 5 × 7 + 5 × 4
-
g. 14 + 21 = 7 × ( + )
-
h. 5 × ( + ) = 45 + 10
2. The swim team has 45 members and the diving team has 27 members.
- If the coaches wished to divide the team into groups and have all of the groups from both teams be the same size, what is the greatest number of team members who could be in a group?
- What is the expression that represents the total number of members?
3. Students have collected 36 packs of cheese and 48 grain bags to make baskets.
- They will make as many baskets as possible with no items left over, and each basket will have the same number of packs of cheese and the same number of grain bags.
-
a. What might the expression 12 (3 + 4) mean in terms of the baskets, packs of cheese, and grain bags?
-
b. Why is the expression 12 (3 + 4) helpful when representing this situation?
4. Choose the correct answer.
-
1. 16 + 24 = 8 (2 + )A. 24 B. 16 C. 2 D. 3
-
2. 18 + 12 = 6 × ( )A. 3 × 2 B. 3 + 2 C. 18 + 12 D. 12 + 6
-
3. 10 + 45 = 5 ( + )A. 10, 40 B. 5, 40 C. 9, 5 D. 2, 9
-
4. 5 (2 + ) = 10 + 35A. 5 B. 7 C. 2 D. 8
-
5. (5 + 2) = 15 + 6A. 2 B. 3 C. 4 D. 5
-
6. 7 [2 + 1] =A. 14 + 7 B. 14 + 1 C. 14 + 71 D. 72 + 71
-
7. 9 (1 + 2) = 9 +A. 9 B. 81 C. 18 D. 27
-
8. 5 + 12 = (5 + 12)A. 1 B. 5 C. 12 D. 60