Math Properties: Commutative, Associative, Dist.

Name the Property

100

7 x (3 x 15) = (7 x 3) x15

Associative Property 

200

(a x b) x c = a x (b x c)

Associative Property

300

7 x(4 + 5)= 7x(4) + 7x(5) 

Distributive Property 

400

2+13+6 = 13 + 2+6

Commutative property

500

6x(20)+ 6x(3)= 6x(23) 

Distributive Property

Commutative Property

100

Using the commutative property, find another way to write this number sentence

2 + 7 

7 + 2

200

What is the missing number?

12 x 14 x ___= 14 x 7 x 12

7

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:

13x5x2 = 2x13x5 

Equal

Associative Property

100

Using the associative property, find another way to write the number sentence

(3+7)+4

3+(7+4) 

200

Using the associative property, find another way to write this number sentence

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

Using the associative property, are these two number sentences equal or not equal

(2+3)+9 = 2(3+2)

Not equal

Distributive Property

100

Using the distributive property, what is my next step? Write it out as a number sentence

5 x (3+2) 

5 x (3) + 5 x (2) 

200

Using the distributive property, what should my next step look like?

6 x (4589) 

6 x (4000 + 500 + 80 + 9)

300

Find the product using the distributive property:

2 (3+5) 

2 x (3) + 2 x (5)

6 + 10 = 16

400

Find the product using the distributive property:

9 x (13) 

9 x (13)= 9 x(10)+ 9 x(3) 

90+27= 117

500

Find the product using the distributive property:

8 x (143) 

8 x (100 + 40 + 3)

8 x (100)= 800

8 x (40) = 320

8 X 3 = 24

800 + 320 + 24 = 1144

Definition

100

A strategy where you multiply by 2 and then double it

Doubling strategy

200

A property in mathematics that says the order in which you add or multiply numbers does not change the result

Commutative Property 

300

A property where you break down the number into smaller parts or place value, multiply each part separately and then add.

Distributive Property 

400

A property, when adding or multiplying, where you change the grouping and still get the same result

Associative Property 

500

What was the number I had on the board?

6