Associative Property
What does the associative property mean?
You can multiply three factors together in any order and get the same product.
What does the distributive property mean?
7 X 2 =
14
5 X 3 = 3 X __
5
What does the zero property of multiplication mean?
Anything times zero equals zero!
7 X (2 X 5) = ?
70
Use the distributive property to solve 7 X 6 = ?
7 X 6 = 7 X (5 + 1)
7 X 6 = (7 X 5) + (7 X 1)
7 X 6 = 35 + 7
7 X 6 = 42
3 X 8 =
24
6 X 7 = 7 X ___
6
What does the Identity Property mean?
Anything times one is the other factor.
(2 X 3) X 9 = ?
54
There are 6 rows on the front of a building. There are 9 windows in each row. How many windows are on the front of the building? Use the distributive property to solve the problem.
6 X 9 = 6 X (5 + 4)
6 X 9 = (6 X 5) + (6 X 4)
6 X 9 = 30 + 24
6 X 9 = 54
9 X 6 =
54
2 X 8 = 8 X ___
2
7 X 0 =
0
Group the factors differently.
(9 X 4) X 2
9 X (4 X 2)
5 X 7 = (5 X 4) + (5 X ____)
What number goes in the blank?
3
8 X 5 =
40
1 X 6 = 6 X ___
1
9 X 1 =
Each week, Cory works in the vegetable garden for 2 hours on each of 3 days. He works for 2 weeks. How many hours does Cory work in 2 weeks?
(2 X 3) X 2 = 12 hours
Use the distributive property to solve 7 X 7 = ?
7 X 7 = 7 X (3 + 4)
7 X 7 = (7 X 3) + (7 X 4)
7 X 7 = 21 + 28
7 X 7 = 49
9 X 8 =
72
8 X 4 = 4 X ___
8
0 X 0 =
0