Definitions - Multiplication
When the grouping of factors is changed, the product stays the same.
The Associative Property of Multiplication
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
The answer to an addition problem
sum
Name the property and solve!
5 + 12 + 15 = 12 + 5 + 15
Commutative Property
12 + 5 + 15
12 + 20
32
Multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products.
Distributive Property of Multiplication
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:
(5 + 3) + 7
5 + (3 + 7)
If you change the order of two addends, the sum stays the same
Commutative Property of Addition
Name the property and solve!
5 + 0
Identity Property of Addition
5 + 0 = 5
If you change the order of two factors when multiplying, the product stays the same.
Commutative Property of Multiplication
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 plus 0 is that same number
Identity Property of Addition
Name the property and solve!
11 + (9 + 10) = (11 + 9) + 10
Associative Property of Addition
(11 + 9) + 10
20 + 10
30
Any number multiplied by 1 remains the same
Identity 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
Use the distributive property to solve.
3 x 59
3 x 59 = 3 x (50 + 9)
3 x 59 = (3 x 50) + (3 x 9)
3 x 59 = 150 + 27
3 x 59 = 177
When the grouping of addends is changed, the sum stays the same.
Associative Property of Addition
567,893 + 0
Identity Property of Addition
567,893 + 0 = 567,893