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.
36 / 9 = 4
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.
6 x 8 = $48
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 $6.
Total of 7 people $42 / 7 = $6
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.
32 / 8 = 4
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 =
12
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.
8 x 9 = 72 72 - 30 = 42
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.
6 x 3 = 18 18 + 39 = 57