Math Properties: Commutative, Associative, Dist.

Name the Property

100

7 (3 x 15) = (7 x 3) 15

Associative Property

200

8 (5 +3)= 8 (3 + 5 ) 

Commutative Property

300

7 (4 + 5)= 7(4) + 7(5) 

Distributive Property 

400

2+(13+6)= (2+13)+6

Associative Property

500

6(20)+ 6(3)= 6(23) 

Distributive Property

Commutative Property

100

Use the commutative property to write an equivalent expression:

2 + 7 

7 + 2

200

Use the commutative property to write an equivalent expression:

12 x 3

3 x 12

300

Which equation shows the commutative property of addition?

a. 8 + 9 = 9 + 8

b. 3(25) = 3(20)+ 3(5)

c. 18x3 = 3x18

d. 7+(3+2)= (7+3)+2

a. 8+9 = 9+8

400

Which equation shows the commutative property of multiplication?

a. 6+2 = 2+6

b. 4+(2+8) = (4+2)+8

c. (12x9 )x2= 12x(9x2) 

d. (3x4) x 10 = (4x3) x 10

d. (3x4) x 10 = (4x3) x 10 

500

Use the commutative property to determine if the equation below is equal or not equal:

13+(5x2) = 13+(2x5) 

Equal

Associative Property

100

Use the associative property to write an equivalent expression: 

(3+7)+4

3+(7+4) 

200

Use the associative property to write an equivalent expression: 

5 (1x4)

(5x1) x4

300

Which equation shows the associative property of addition?

a. (7+9)+2 = 7+(9+2) 

b. 1 + 8 = 2 + 7

c. 7 + 9 = 9 + 7 

d. 1 + 0 = 1 

a. (7+9)+2 = 7+(9+2) 

400

Which equation shows the associative property of multiplication?

a. 8+(2+3)=(8+2)+3

b. 4(2+5)= 4(2)+ 4(5) 

c. (18x3)x7 = 18x(3x7)

d. 5+9 =9+5

c. (18x3)x7= 18x(3x7) 

500

Use the associative property to determine if the equation below is equal or not equal:

(2+3)+9____ 2(3+2)

Not equal

Distributive Property

100

Use the distributive property to solve: 

5 (3+2) 

5 (3) + 5 (2) = 15 + 10 =

25

200

Use the distributive property to solve:

6 ( 2 + 3 ) 

6(2) + 6(3) = 12 +18 =

30

300

Use the distributive property to write an equivalent expression:

2 (3x +5) 

2(3x) + 2(5)

6x + 10

400

Use the distributive property to write an equivalent expression:

9(3² - 5) 

9(3² - 5)= 9(9)- 9(5) 

81 - 45= 36

500

Use the distributive property to write an equivalent expression:

12(x+8) 

12(x+8)= 12(1x)+12(8)

12x + 96

Vocabulary

100

The property that says that any number times one is the same number.

Identity Property of Multiplication (x)

200

The property where any number plus zero is the same number.

Identity Property of Addition (+)

300

Property which defines the rules for the ORDER of numbers when multiplying or adding:

Commutative Property 

400

Property which defines a rule for multiplying a number by a sum:

Distributive Property 

500

Property which defines a rule for the GROUPING of numbers when adding or multiplying:

Associative Property