Definitions
When the grouping of factors is changed, the product stays the same.
The Commutative 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
Multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products.
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
3 x (5 x 10)
This property states that three factors can be multiplied in any order and the product is always the same.
Associative 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
It is the property where you distribute a larger number into 2 smaller numbers.
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