Fill in the missing number
Identify the property
Use the distributive Property
True or False & Why
Write your own example
100

10 + __ = 10

0

100

512 x 0 = 0

Zero Property of Multiplication

100

5(1 + 2)  =

5(1) + 5(2) OR 5 + 10

100

8 + 1 = 8

False, because 8 + 1 =9

100

Identity Property of Addition

x + 0 = x

200

10 + 5 + __ = 5 + 20 + 10

20

200

0 + 91 = 91

Identity property of addition

200

10 (2 + 4) =

10(2) + 10(4) OR 20 + 40

200

18 x 1 = 19


False, because any number multiplied by 1 is that number. It doesn't change.

200

Zero Property of Multiplication

0 x A = 0

300

50 x (10 x 2) = (50 x __ ) x 2

10

300

5 + 2 + 8 = 8 + 2 + 5

Commutative Property

300

6(4 + 6) =

6(4) + 6(6) OR 24 + 36

300

9 + 5 + 17 = 17 + 9 + 5

True, because it shows the commutative property

300

Associative Property

a + (b + c) = (a + b) + c

a x (b x c) = (a x b) x c 

400

8(2 + 5) = 8( ) + _ (5)

2 & 8

400

(10 x 5) x 4 = 10 x (5 x 4)

Associative Property

400

12( x + 2) =

12(x) + 12(2) OR 12x + 24

400

(6 x 5) x 12 = 6 x (5 x 11)

False, because the numbers are not the same on both sides.

400

Distributive Property

a(b + c) = a(b) + a(c)

500

3 + __ + 18 = __ + 3 + 7

7 & 18

500

12 ( x + 2) = 12(x) + 12(2)

Distributive Property

500

82(x + y) =

82(x) + 82(y) OR 82x + 82y

500

5(x + 1) = 5x + 1

False, because when you distribute you multiply the 5 by both terms in the ().

500

Commutative Property

a + b + c = c + b + a

a x b x c = c x a x b