Distributive Property
Associative Property
Commutative Property
Which Property is being used?
Identity & Zero
100

solve 5 x (2+3)

25

100

What do we always solve first when looking at a problem?

The equation inside the parentheses

100
6x7 =
7x6
100
70 x1= 70
The identity property
100

800 x 0

0

200

Solve (4 + 6) x 2

20

200

How can you group 4 x 5 x 2 in two different ways?

(4 x 5) x 2 & 4 x (5 x 2)

200
2x5x3=
3x2x5 or 5x3x2 etc.
200
5 x (6 +3)= 30 + 15= 45
The distributive property
200
45 x1
45
300

Use the distributive property to solve 23 x 5

(20 x 5) + (3 x 5)= 100 + 25= 125

300

6 x 8 x 2 is...

96

300

Which of the following is commutative property?

a. 6 x 8 = 40 + 8

b. 72 รท 9 = 8 x 9

c. 3 x 4 = 4 x 3

d. 13 + 3 = 8 x 2

c

300
5x6=6x5
The associative property
300

0 x 5,600

0

400

Use the distributive property to solve 78 x 3

(70 x 3) + (8 x 3) = 210+ 24= 234

400

9 x 9 x 2 is?

162

400
What does the commutative property say?
You can multiply any 2 or more numbers in any order, and the product will remain the same.
400
7x8 x (6x6)= (7x8) x6x6
The commutative property
400
1 x 1,500,450,000
1,500,450,000
500

Use distributive property to solve the following:

8 x 9

(4 x 9) + (4 x 9) = 36 + 36 = 72

500

8 x (4 x 2) is the same as

(8 x 4) x 2

500
20x2 can also be written and solved as....
2x20
500
65x3= 3x (60+5)= 180+15= 195
The distributive property
500
5,460,465 x 1
5,460,465x 1
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