Definitions
When the grouping of 3 factors is changed, the product stays the same.
The Associative Property
Name the property being used and solve!
7 x 4 = 4 x 7
commutative property
28
Solve the problem and name the property you used: 1 x 1,398,610
Identity Property
1,398,610
Breaking it down into smaller problems
Distributive Property
Name the property and solve.
(3 x 2) x 5 = 3 x (2 x 5)
Associative Property
30
Use the Associative Property to rewrite this equation:
(3 x 5) x 10
(5 x 3) x 10
2 factors can be multiplied in any order and the product is always the same
Commutative Property
Name the property. Solve.
81 x 1
Identity Property
81
Use the commutative property to rewrite this equation and solve.
5 x 6
6 x 5 = 30
Any number multiplied by 1 remains the same
Identity Property
6 x 7 = 6 x (5 + 2)
6 x 7 = (6 x 5) + (6 x 2)
Distributive Property
Use the distributive property to solve.
3 x 9
3 x 9 = 3 x (5 + 4)
3 x 9 = (3 x 5 ) + (3 x 4)
3 x 9 = 15 + 12
3 x 9 = 27
Any number multiplied by 0 is always 0
Zero Property
(3 x 2) x 7 = 7 x (3 x 2)
Associative Property
Use the zero property to solve this problem
2,000,000 x 0 =
0