Properties of Addition and Multiplication
Solve using commutative property.
6 x 7 = ____ x 6
7
This is called COMMUTATIVE property.
Solve. 36 / 6 =
In other words, 6x____= 36
6
Solve:
6 x 2 =
12
Solve:
10 + 10 + 10 + 10 =
40
Seiya bakes brownies for her 9 friends. If she bakes 36 brownies, how many brownies does each student get?
Each student gets 4 brownies.
What does the multiplication of ZERO mean?
Zero times any number equals zero.
Solve:
48 ÷ 6 =
8
Solve.
6 x 10 =
60
Solve.
6 + 0 =
6
Aidan went to the store. He bought 6 comic books. Each book cost $8. How much money did he spend in total?
Aidan spent $48 in total.
What property states you can change the order of the numbers without changing the answer?
Ex. 8x9=9x8
Commutative Property
Solve:
30 ÷ 6 =
5
Solve:
6 x 3 =
18
Solve.
64 + (8 - 8) =
64
Avni and her 6 friends went to the movies. In total the tickets cost $42. How much did each ticket cost?
Each ticket costs $7.
What number is an ADDITIVE IDENTITY?
Zero. (0)
Solve.
54÷6=
9
Solve:
6 x 4 =
24
Solve:
(6 + 6) x 0 =
0
Ms. Lauren divides 32 students in 8 equal groups. How many students are in each group?
Each group has 4 students.
What property states that you can change the grouping of the numbers before you multiply and your answer will be the same?
ex. 7 x (6 x 10) = (7 x 6) x 10
ASSOCIATIVE property
Solve:
72 ÷ 6 =
7
Solve.
6 x 9 =
54
Ms. Megan buys 8 boxes of granola bars for a class party. Each box has 9 granola bars. After the party there are 30 bars left. How many bars were eaten at the party?
There were 42 bars eaten at the party.
Mizu spends 39 minutes doing his homework.
Then he does 6 chores. Each chore takes him 3 minutes.
How many minutes does Mizu spend doing homework and chores
Mizu spends 57 minutes on homework and chores.