Properties

Identity

100

Use the identity property of multiplication to fill in the missing number.

5 x _ = 5

1

200

Solve the problem then show how it is the identity property of multiplication.

55 x 1 = _

55 x 1 = 55

This is the identity property because if you multiply any number by 1, the number will always stay the same.

300

Use the identity property of addition to fill in the blank.

_ + 0 = 28

28

400

Use the identity property of multiplication to fill in the blank.

(78 + _) x 1 = 78

0

500

True or false,

(17 + 19) x 1 = 37

False

Commutative

100

True or false, when multiplying two numbers together the product will be different if you switch the order that they are in.

False

200

Use the commutative property of addition to fill in the blank.

47 + 92 = 92 + _

47

300

Use the commutative property of multiplication to fill in the blank.

38 x 72 = 72 x _

38

400

Use the commutative property of addition to fill in the blank.

6 + 49 = _ + 6

49

500

Use the commutative property of multiplication to fill in the blanks.

180 x _ = 38 x _

180 x 38 = 38 x 180

Associative

100

Use the associative property of multiplication to fill in the blank.

(1 x 5) x 7 = 1 x (_ x 7)

5

200

Use the associative property of addition to fill in the blank.

3 + (83 + _) = (3 + 83) + 6

6

300

True or false, if you are multiplying the same three numbers together but switch the location of the parentheses the product of the three numbers will always be the same.

True

400

Use the associative property of addition to fill in the blanks.

(3 + _) + _ = _ (8 + 10)

(3 + 8) + 10 = 3 + (8 +10)

500

Prove the associative property of multiplication to be true.

(25 x 5) x 2 = 25 x (5 x 2)

250 = 250

Inverse

100

Use the inverse property of addition to fill in the blank.

_ + (-42) = 0

42

200

True or false, if you add the opposite of a number the number will always equal zero.

True

300

Use the inverse property of multiplication to fill in the blank.

37 x _ / 37 = 1

1

400

Use the inverse property of addition to fill in the blank.

_ + (-17) = _

17 + (-17) = 0

500

Use the inverse property of multiplication to fill in the blanks.

89 x _ / _ = 1

1 / 89

Name the property

100

17 x 2 = 2 x 17

Commutative property of multiplication

200

5 + (85 + 16) = (85 + 16) + 5

Commutative property of addition

300

5 x (12 + 7) = 5(12) + 5(7)

Distributive property

400

(3 + 15) + 4 = 3 + (15 + 4)

Associative property of addition

500

(6 + 16) + 0 = (6 + 16)

Additive identity