Math Properties: Commutative, Associative, Dist.

Name the Property

100

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

Associative Property of Multiplication

200

8 (5 +3)= 8 (3 + 5 ) 

Commutative Property of Addition

300

7 (4 + 5)= 7(4) + 7(5) 

Distributive Property 

400

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

Associative Property of Addition

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 write an equivalent expression: 

5 (3+2) 

5 (3) + 5 (2)

200

Use the distributive property to write an equivalent expression: 

6 ( 2 + 3 ) 

6(2) + 6(3)

300

Find the product using the distributive property:

2 (3+5) 

2(3) + 2(5)

6 + 10 = 16

400

Find the product using the distributive property:

9(13) 

9(13)= 9(10)+ 9(3) 

90+27= 117

500

Find the product using the distributive property:

2 (2+8) 

2 (2+8)= 2(2)+2(8)

4+16 = 20

Vocabulary

100

Free Space  

100 pts. 

200

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

Commutative Property 

300

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

Distributive Property 

400

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

Associative Property 

500

Associative Property only applies to __________ and ____________

Addition and Multiplication