Definitions
When the grouping of factors is changed, the product stays the same.
Associative Property of Multiplication
Name the property being used and solve!
0 x 24,305
Zero Property of Multiplication
0
Solve the problem and name the property you used: 1 x 1,398,610
Identity Property of Multiplication
1,398,610
When you multiply zero by any number and it equals zero.
Zero Property of Multiplication
Name the property being used and solve!
7 x 4 = 4 x 7
Commutative Property of Multiplication
28
Use the Associative Property to rewrite this equation:
(3 x 5) x 10
3 x (5 x 10)
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 of Multiplication
Name the property. Solve.
81 x 1
Identity Property of Multiplication
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 (5 + 2) = (6 x 5) + (6 x 2) OR
6 x 7 = (6 x 5) + (6 x 2)
Distributive Property
Solve using the box method.
468 x 258 =
120,744
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 of Multiplication
30
Solve using the box method.
689 x 754 =
519,506