Properties
Changing the order of factors does not change the product
Commutative Property
2 x 2 =
4
1 x 5 =
1 x 10 =
10
Jemma breaks apart an array into a 3 x 6 array and a 2 x 6 array. Draw apicture to show the ORIGINAL array.
x x x x x x
x x x x x x
x x x x x x
x x x x x x
x x x x x x
The product of any number and 0 is 0.
Multiplication Property of Zero
6 x 2 =
12
4 x 5 =
20
3 x 10 =
30
You buy 5 books and 10 magazines. Each book costs $8 and each magazine costs $3. How much money do you spend in all?
5 x 8 = 40
10 x 3 = 30
40 + 30 = $70
The product of any number and 1 is that number.
Multiplication Property of One
0 x 2 =
0
10 x 5 =
50
4 x 10 =
40
4 x 7 = ( ____ + ____ ) x 7
4 x 7 = ( ____ x 7) + ( ____ x 7 )
4 x 7 = _____ + _____
4 x 7 = _____
4 x 7 = ( 1 + 3 ) x 7
4 x 7 = ( 1 x 7) + ( 3 x 7 )
4 x 7 = 7 + 21
4 x 7 = 28
3 x 7 = (3 x 5) + (3 x 2)
Distributive Property
____ x 2 = 2
1
____ x 3 = 15
5
6 x 10 =
60
A music teacher needs to make 2 rows of 8 chairs. There are 18 chairs. Does he have enough chairs? Draw an array and write a multiplication equation to explain your answer.
Yes; 2 x 8 = 16, so he will have enough chairs plus 2 chairs left over.
x x x x x x x x
x x x x x x x x
Give an example of the Multiplcation Property of One.
1 x 7 = 7
2 x ____ = 16
8
30 = 5 x _____
6
9 x 10 =
90
Which equations show the Distributive Property being used correctly for 7 x 6?
(7 x 5) + (7 x 1) (7 x 2) + (7 x 3)
(5 x 4) + (2 x 2) (5 x 6) + (2 x 6)
(7 x 5) + (7 x 1)
(5 x 6) + (2 x 6)