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.
36 x ? = 0
? = 0
Zero Property of Multiplication
62 x 1 = ?
? = 62
? = 30
Anything multiplied by 0 has a product of 0.
Zero Property of Multiplication
Name the property and solve.
(3 x 2) x 5 = 3 x (2 x 5)
Associative Property
30
Solve the problem and name the property you used: 1 x 1,398,610
Identity Property
1,398,610
(3x4) x 5 = ? x (4x5)
? = 3
Use the distributive property to solve:
7 x 4 = ( __ x __ ) + ( __ x __ )
7 x 4 = 28
Any number multiplied by 1 remains the same
Identity Property
Name the property. Solve.
81 x 1
Identity Property
81
Use the Associative Property to rewrite this equation:
(3 x 5) x 10
3 x (5 x 10)
9 x 6 = (5+?) x 6
? = 4
If 6 x 4 = 24 then 4 x 6 = ?
? = 24
This property says that you can break apart unknown facts into known facts to help you solve multiplication.
Distributive Property
400 x 0 = 0
Name the property
Zero Property of Multiplication
Use the commutative property to rewrite this equation and solve.
5 x 6
6 x 5 = 30
6 x 7 = ( __ x ___ ) + ( 4 x __ )
6 x 7 = ( 2 x 7 ) + (4 x 7 )
Solve using the distributive property:
8 x 6 = ( __ + __ ) x ___
8 x 6 = 48
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
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
8 x 8 = ( 5 x 8 ) + ( 3 x 8 )
Solve using any strategy of your choice:
8 x 8
8 x 8 = 64