Definitions
When the grouping of 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
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 and solve:
(3 x 5) x 10
3 x (5 x 10)=150
This property states that factors can be multiplied in any order and the product is always the same. This also called the order property of multiplication.
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
It is the property where the property of any number and zero is 0
1,756 X 0=0
zero property of multiplication
Solve: 6 x (4+6)
(6 x 4)+ (6 x 6)=
24 + 36= 60
the product of any number and zero is always zero
Zero property of multiplication
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
Name the property and solve
9 x (5 x 2)= (9 x 5) x 2
associative property of multiplication
90