Free Printable Multiplication Properties

1.

Which number sentence is an example of the associative property?

a)

19+6=5x5

b)

3x9=9+3

c)

3x(2x6)=(3x2)x6

d)

4x0-4+0

2.

Which equation represents the distributive property of the following equation:
4 x 7

a)

(4 x 3) + (4 x 4)

b)

(4 + 3) x (4 + 4)

c)

(4 x 3) x (4 x 4)

d)

(4 + 3) + (4 + 4)

3.

How can 5 (3 + 9) be expressed using the distributive property?

a)

5(3) + (5 + 9)

b)

5(3) + 5(9)

c)

5 + 9 = 9 + 5

d)

(5 + 3) x (5 + 9)

4.

Which breaks down 6x7 correctly?

a)

(6x6)+(6x10)

b)

(6x2)+(6x5)

c)

(6x7)+(6x2)

d)

(2x5)+(3x3)

5.

Find the original multiplication problem: (6x2)+(6x10)

a)

6x2

b)

6x6

c)

6x10

d)

6x12

6.

Write 2 equations that match the array.

a)

( 4 x 3) + (4 x 3)

b)

( 3 x 4) + ( 4 x 3)

c)

( 4 x 2 ) + ( 4 x 5)

7.

Select all the expressions that could be used to find the product of 6 × 7.

Select all that apply.

a)

6 + 7

b)

7 x 6

c)

6 x (2+5)

d)

(3 x 7) + (3 x 7)

e)

(3 + 7) + (3 + 7)

8.

Fill in the missing factors in the ☐ to complete the equation.

6 × 8 = (6 ×☐ ) + (6 × ☐)

a)

4, 4

b)

2, 3

c)

3, 5

d)

2, 6

e)

1, 7

9.

Rewrite (9 + 6) + 5 using the associative property.

a)

20

b)

(9 + 6) + 5 = (9 + 5) + 6

c)

(9 + 6) + 5 = 9 + (6+5)

d)

(9 + 6) + 5 = 5 + 9 + 5 + 6

10.

Which expression is used to find the total area of the figure shown?

a)

9 (10 + 7)

b)

9 x 10 + 7

c)

(10 x 7) x 9

d)

9 x 10 x 7

11.

Zion has planted a garden with 7 rows of carrots. If he puts 8 carrots plants in each row, how many carrots might he have?

a)

58

b)

56

c)

63

d)

none of these

12.

Maggie bought 56 straws. For___days her family used 7 new straws each day. How many days did it take her family to use all the straws?

a)

8 days

b)

27 days

c)

49 days

d)

63 days

13.

724 + 152 =

a)

776

b)

876

c)

976

d)

875

14.

An equation is written. 42 ÷ 6 = Which other equation can be used to find the quotient?

a)

A. 6 × _ = 42

b)

42 × 6 =

c)

6 + _ = 42

d)

42 – __ = 6

15.

Ms. McDougald was ordering dinner for herself and 4 family members. Each meal she purchased was $8. How much total money did she spend?

a)

$12

b)

$13

c)

$32

d)

$40

16.

What multiplication property is used in this equation: 7 x 3 = 3 x 7

a)

Commutative

b)

Associative

c)

Property of Zero

17.

What multiplication property is used in this equation: 0 x 9 = 0

a)

Commutative

b)

Associative

c)

Property of Zero

18.

What multiplication property is used in this equation: 8 x 9 = 9 x 8

a)

Commutative

b)

Associative

c)

Property of Zero

19.

What multiplication property is used in this equation: 2 x (3 x 8) = (2 x 3) x 8

a)

Property of Zero

b)

Associative

c)

Commutative

20.

What multiplication property is used in this equation: 5 x 4 = 4 x 5

a)

Associative

b)

Commutative

c)

Property of Zero

21.

What multiplication property is used in this equation: (5 x 9) x 2 = 5 x (9 x 2)

a)

Associative

b)

Property of Zero

c)

Commutative

22.

What multiplication property is used in this equation: 5 x 0 = 0

a)

Associative

b)

Property of Zero

c)

Commutative

23.

Use the multiplication properties to determine the number that belongs (9 x 6)x 4 = 9 x(__ x 4)

a)

9

b)

4

c)

6

d)

54

24.

Use the multiplication properties to determine the number that belongs 5 x __ = 0

a)

5

b)

0

c)

10

d)

2

25.

Use the multiplication properties to determine the number that belongs 5 x 6 = 6 x __

a)

30

b)

5

c)

6

d)

36

26.

Use the multiplication properties to determine the number that belongs: 4 x (2 x 7)=(4 x __)x 7

a)

2

b)

4

c)

7

d)

8

27.

Use the multiplication properties to determine the number that belongs __ x 8 = 0

a)

8

b)

2

c)

0

d)

16

28.

Use the multiplication properties to determine the number that belongs: 3 x __ = 6 x 3

a)

3

b)

6

c)

18

d)

12

29.

Use the multiplication properties to determine the number that belongs: 5 x (2 x 9)=(5 x 2)x ___

a)

2

b)

5

c)

9

d)

19

30.

Which option represents the commutative property?

a)

(10x2)x3

b)

10x(2x3)

c)

4x5=5x4

d)

5+(2x3)

31.

Which equation represent the associative property?

a)

5x3=3x5

b)

2x(8x4)= (2x8)x4

c)

3x2+1

d)

(6+3)x3

32.

Use the Distributive Property to find the missing product.

6 X 5= ( _X 5) + (3 X 5)

a)

1

b)

5

c)

6

d)

3

33.

Which two equations could be used to represent the above picture?

a)

4x9

b)

5x6

c)

3x6

d)

6x3

34.

Use the distributive property to break the array apart.

a)

(7x4)+(7x4)

b)

7+4)+(7+4)

c)

(7x4)+(7x3)

35.

Which factor completes the fact family?

2x___=14

__x2=14

14÷2=7

14÷7=2

a)

7

b)

5

c)

3

d)

2

36.

Use the Distributive Property to find the Missing Factor.

8X6= (5X6) + ( _ X 6)

a)

5

b)

3

c)

4

d)

2

37.

Use the associative property to solve. 2x3x5

(a)

38.

Which factor completes the fact family?

7x6=42

6x7=42

42/7=___

42/___=7

a)

7

b)

42

c)

6

d)

8

39.

Which property does this multiplication problem represent? 2x5=10 is the same as 5x2=10

a)

Associative Property

b)

Commutative Property

c)

Distributive Property

d)

Identity Property

40.

Which property does this represent? 3x(9x1)=(3x9)x1

a)

Commutative Property

b)

Identity Property

c)

Associative Property

d)

Distributive Property

41.

Which problem shows the distributive property of 3x18=

a)

(3x10)+(3x8)

b)

(3x10)x(4x8)

c)

(3+10)+(3+8)

42.

100 x 1 = 100 Which Property?

a)

Associative

b)

Commutative

c)

Identity

43.

45 x 6 = 6 x 45

a)

Associative

b)

Commutative

c)

Identity

44.

33 x 0 = 0

a)

Associative

b)

Commutative

c)

Zero

45.

10 x 9 = 9 x 10

a)

Associative

b)

Commutative

c)

Identity

46.

(6 x20) x 5 = 6 x (20 x 5)

a)

Associative

b)

Commutative

c)

Identity

d)

Zero

47.

537 x 1 = 537

a)

Associative

b)

Commutative

c)

Identity

48.

100 x 32 = 32 x 100

a)

Associative

b)

Commutative

c)

Identity

49.

400 x 0 = 0

a)

Zero

b)

Commutative

c)

Identity

50.

73 x 14 = 14 x 73

a)

Associative

b)

Commutative

c)

Identity

51.

Which property does this represent? 0x3=0

a)

Identity Property

b)

Distributive Property

c)

Zero Property

52.

Which property does this multiplication problem represent? 2x5=10 is the same as 5x2=10

a)

Associative Property

b)

Commutative Property

c)

Distributive Property

53.

Which property does this represent? 3x(9x1) = (3x9)x1

a)

Distributive Property

b)

Commutative Property

c)

Associative Property

54.

Which property does this multiplication problem represent? 1x72=72

a)

Identity Property

b)

Zero Property

c)

Commutative Property

55.

Which property does this multiplication problem represent?

8x25 = (8x20)+(8x5)

a)

Distributive Property

b)

Commutative Property

c)

Associative Property

56.

The commutative property says that if 4x6=24, then

a)

3x8=24

b)

4x5=20

c)

6x4=24

57.

Which problem shows the distributive property of 4x18

a)

(4x10)+(4x8)

b)

(4x10)x(4x8)

c)

(4x18)+(4x18)

58.

Which problem does NOT show the zero property

a)

6x0=0

b)

6+0=6

c)

5x0=0

59.

Which problem correctly shows the associative property related to this multiplication problem? 4x(5x6)

a)

6x5+4

b)

(4x5)x6

c)

5x24

60.

Which two problems show the identity property? Choose TWO.

a)

6x1=7

b)

19+1=20

c)

37x1=37

d)

64x1=64

61.

Which number sentence is an example of the associative property?

a)

19+6=5x5

b)

3x9=9+3

c)

3x(2x6)=(3x2)x6

62.

Which number sentence is an example of the associative property?

a)

19+6=5x5

b)

3x9=9+3

c)

3x(2x6)=(3x2)x6

d)

4x0-4+0

63.

Which property is being used in the equation below?
10 x 8 = 8 x 10

a)

Identity Property

b)

Equality Property

c)

Commutative Property

d)

Associative Property

64.

Which example DOES NOT show the commutative property?

a)

6 x 2=2 x 6

b)

3 x 1=3

c)

4 x 5=5 x 4

d)

3 x 1=3 x 1

65.

Find the missing factor:

6 x 18= (6 x _?_) + (6 x 10)

a)

3

b)

8

c)

11

d)

14

66.

Find the missing factor:

17 x 8= (7 x 8) + (_?_ x 8)

a)

3

b)

8

c)

10

d)

14

67.

Find the missing factors:

6 x 18 = (6 x ___ ) + ( 6 x ___ )

a)

7, 6

b)

10, 4

c)

9, 9

d)

6, 2

68.

2 x (2x5)

a)

20

b)

15

c)

18

d)

21

69.

3 x (2x4)

a)

20

b)

18

c)

24

d)

30

70.

(2x3) x 5

a)

24

b)

20

c)

35

d)

30

71.

5 x (2x6)

a)

65

b)

42

c)

60

d)

50

72.

3 x ____ = 9 x 3

a)

7

b)

9

c)

27

d)

11

73.

What is the missing number?

4 x ____ = 6 x 4

a)

4

b)

6

c)

7

d)

24

74.

5 x 8 x 2

a)

75

b)

60

c)

40

d)

80

75.

2 x 6 x 3

a)

18

b)

36

c)

30

d)

26

76.

Fill in the blank
___ x 3 x 4 = 24

a)

1

b)

2

c)

3

d)

4

77.

Fill in the blank
2 x 5 x ___ = 60

a)

10

b)

6

c)

8

d)

5

78.

Fill in the blank
4 x ____ x 3 = 36

a)

2

b)

3

c)

4

d)

5

79.

(2x3)+(4x3)

a)

18

b)

20

c)

64

d)

72

80.

4x(3x2)

a)

10

b)

20

c)

25

d)

24

81.

(5x3) + (6x4) =

a)

30

b)

42

c)

39

d)

25

82.

Each spider has 8 legs. How many legs do 3 spiders have?

a)

10

b)

24

c)

11

d)

16

83.

What is the zero property of multiplication?

a)

Any number multiplied by zero equals zero.

b)

Any number multiplied by zero equals one.

c)

Any number multiplied by one equals zero.

d)

Any number divided by zero equals zero.

84.

7x7

a)

49

b)

35

c)

14

d)

7

85.

5X6

a)

11

b)

25

c)

29

d)

30

86.

If a = 5 and b = 3, what is the value of a * b using the commutative property?

a)

8

b)

35

c)

12

d)

15

87.

If a = 2, b = 4, and c = 6, what is the value of (a * b) * c using the associative property?

a)

12

b)

24

c)

36

d)

48

88.

If a = 7, b = 2, and c = 3, what is the value of a * (b + c) using the distributive property?

a)

14

b)

35

c)

21

d)

10

89.

If a = 9, what is the value of a * 0 using the zero property?

a)

9

b)

1

c)

18

d)

0

90.

4x0

a)

0

b)

4

c)

40

d)

1

91.

Look at the image and count the bundles. If you add 1 more bundle of 10s. How many straws total will you have?

a)

40

b)

5

c)

50

d)

35

Multiplication Properties

Total questions: 91

Worksheet time: 2hrs 36mins

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