Addition and Multiplication Properties

Definitions

100

any number added to zero remains the same

What is the identity property of addition

200

factors can be grouped differently and multiplied and the product remains the same

What is the associative property of multiplication

300

any number multiplied by 1 remains the same

What is the identity property of multiplication

400

numbers can be added in any order and the sum remains the same

What is the commutative property of addition

500

the product of any number multiplied by zero will be zero

What is the zero property of multiplication

Addition Property

100

name the poperty being used 4 + 0 = 4

What is the identity property or zero property of addition

200

name the property being used (3 + 4) + 1 = 3 + (4 + 1)

What is the associative or grouping property of addition

300

name the property being used and SOLVE the problem 12 + (5 + 8) = (12 + 5) + 8

What is the associative or grouping property of addition 25 = 25

400

name the property being used, give the missing number and SOLVE 7 + ____ = 4 + 7

What is the communative property 4 is the missing number 11 = 11

500

name the property being used, find the missing number, and SOLVE ____ + 15 = 15

What is the identity property 0 is missing number 15 = 15

Distributive Property

100

4(3x+5)

12x+20

200

3(5y+7)

35y+21

300

6(2x+7)

12x+42

400

8(3y-3)

24y-24

500

12(4x-5)

48x-60

Multiplication Property

100

name the property being used 4 x 1 = 4

What is the identity property of multiplication

200

name the property being used 7(x+3)=7(x)+7(3)

What is the distributive property

300

name the property and 7 x 4 = 4 x 7

What is the commutative property 28 =28

400

name the property, find the missing number, and SOLVE (3 x 2) x 5 = 3 x (___ x 5)

What is the associative property 2 is missing number 30 = 30

500

name the property, find the missing number, and SOLVE 5 x ____ = 5

What is the identity property 1 is missing number 5 = 5

Factoring to Distributive

100

3x+15

3(x+5)

200

12x-6

6(2x-1)

300

7y+49

7(y+7)

400

35x+15

5(7x+3)

500

108y-72

12(9y-6)