Free Printable Multiplication Properties and Division

1.

10 x 9 = 9 x 10

a)

Associative

b)

Commutative

c)

Identity

d)

Zero

2.

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

a)

Associative

b)

Commutative

c)

Identity

d)

Zero

3.

What does the Commutative Property mean?

a)

When you can group numbers in any order

b)

when you can multiply numbers in any order

c)

when you multiply anything by zero you get zero

4.

What does the Associative Property mean?

a)

When you can group in any order

b)

When you can multiply in any order

c)

When you multiply anything by 1 and get the same number

5.

What does product mean?

a)

Answer to a addition problem

b)

Answer to a subtraction problem

c)

Answer to a division problem

d)

Answer to a multiplication problem

6.

The Identity property tells us that any number multiplied by 1 is that number. Which expression below is an example of this property?

a)

2x0=0

b)

2x2=4

c)

2+1=3

d)

2x1=2

7.

The Zero Property of Multiplication states that any number multiplied by zero is equal to zero.
Which expression below is an example of this property?

a)

3x1=3

b)

3x0=0

c)

3+1=4

d)

3+0=3

8.

What number can I multiply ANY number by, and get that number?

a)

2

b)

0

c)

10

d)

1

9.

What number can I multiply ANY number by, and get that number?

a)

2

b)

0

c)

10

d)

1

10.

What multiplication sentence does this array represent?
X X X X X
X X X X X
X X X X X
X X X X X
X X X X X

a)

5 x 4 =

b)

5 + 5 =

c)

4 x 6 =

d)

5 x 5 =

11.

What array is this?

a)

5 X 6 = 30

b)

6 X 4 = 24

c)

5 X 5 = 25

d)

5 X 4 = 20

12.

Select the correct number model with the rectangular array

a)

2+2+2+2=8

b)

3+3+3+3+3=15

c)

5+5+5+5+5=25

d)

4+4+4+4+4=20

13.

Complete the fact family.
2 x 6 = 12
6 x 2 = 12
12 ÷ 2 = 6
12 ÷ 6 = ___

a)

12

b)

2

c)

6

d)

3

14.

Complete the fact family
42÷7=6
42÷6=7
7×6=42
__×7=42

a)

6

b)

7

c)

42

d)

49

15.

Complete the fact family
3x7=21
7x3=21
21÷7=3
__÷3=7

a)

35

b)

21

c)

12

d)

2

16.

Identify the property or rule:

12 x 0 = 0

a)

Commutative Property of Multiplication

b)

Identity Property of Multiplication

c)

Zero Property of Multiplication

d)

Zero Property of Division

17.

Identify the property or rule:

8 x 5 = 5 x 8

a)

Commutative Property of Multiplication

b)

Identity Property of Multiplication

c)

Zero Property of Multiplication

d)

Zero Property of Division

18.

Identify the property or rule:

6\ \div\ 1\ =6

a)

Commutative Property of Multiplication

b)

Identity Property of Multiplication

c)

Any number divided by 1 equals the number (ones in division)

d)

1 divided by any number equals 1

19.

Identify the property or rule:

10\ \div\ 10=1

a)

Commutative Property of Multiplication

b)

Identity Property of Multiplication

c)

Any number divided by 1 equals the number (ones in division)

d)

Any number divided by itself equals 1 (ones in division)

20.

Identify the property or rule:

8\ \times\ 0=0

a)

Commutative Property of Multiplication

b)

Identity Property of Multiplication

c)

Any number divided by 1 equals the number (ones in division)

d)

Zero Property of Multiplication

21.

Identify the property or rule:

0\ \div\ 12\ =0

a)

Zeros in division

b)

Identity Property of Multiplication

c)

Any number divided by 1 equals the number (ones in division)

d)

Zero Property of Multiplication

22.

Identify the property or rule:

22\ \times\ 1=22

a)

Zeros in division

b)

Identity Property of Multiplication

c)

Any number divided by 1 equals the number (ones in division)

d)

Zero Property of Multiplication

23.

Identify the property or rule:

3\ \times\ 4\ =\ 4\ \times\ 3

a)

Zeros in division

b)

Identity Property of Multiplication

c)

Cummutative Property of Mulitplication

d)

Zero Property of Multiplication

24.

Find the unknown number.

3\ \div_{\ -}\ =1

(a)

25.

Find the unknown number.

8\ \times\ 4\ =\ _{-\ }\times8

(a)

26.

45 x 6 = 6 x 45

a)

Associative

b)

Commutative

c)

Identity

27.

73 x 14 = 14 x 73

a)

Associative

b)

Commutative

c)

Identity

d)

Zero

28.

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

a)

270

b)

9 x 30

c)

9 x (6 x 5)

d)

5 x 9 + 5 x 6

29.

Which property is this an example of?
6 x 7 = 7 x 6

a)

Associative Property of Multiplication

b)

Commutative Property of Multiplication

c)

Inverse Property of Multiplication

d)

Distributive Property

30.

Use the commutative property of multiplication to solve the equation.

5 x 2 = 10, so A x 5 = 10

What is A equal to?

a)

10

b)

5

c)

2

d)

7

31.

How can 5x(4 + 1) be expressed using the distributive property?

a)

(5x4) x (5x1)

b)

(5 x 4) x (5 x 1)

c)

(5 x 4) +( 5 x 1)

d)

(5 + 4) x (5 + 1)

32.

Which problem shows an example of the Distributive Property of Multiplication?

a)

6 x 1 = 6

b)

89 x 0 = 0

c)

6 x 2 x 4 = 2 x 4 x 6

d)

3 x 6 = (3 x 1) + (3 x 5)

33.

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

a)

Associative

b)

Commutative

c)

Identity

d)

Zero

34.

The Identity property tells us that any number multiplied by 1 is that number. Which expression below is an example of this property?

a)

2 x 0 = 0

b)

2 x 2 = 4

c)

2 + 1 = 3

d)

2 x 1 = 2

35.

The Zero Property of Multiplication states that any number multiplied by zero is equal to zero.

Which expression below is an example of this property?

a)

3 x 1 = 3

b)

3 x 0 = 0

c)

3 + 1 = 4

d)

3 + 0 = 3

36.

If you multiply any number times 0, which of these is true?

a)

The product will be the number you are multiplying 0 by.

b)

The product will always be 1.

c)

The product does not exist.

d)

The product will always be 0.

37.

Identity Property of Multiplication

a)

3 x 4 = 12

4 x 3 = 12

b)

7 x 1 = 7

c)

6 x 0 = 0

d)

8 $\div$ 1=8

38.

Commutative Property of Multiplication

a)

3 x 4 = 12

4 x 3 = 12

b)

7 x 1 = 7

c)

6 x 0 = 0

d)

0 $\div$ 0 = 0

39.

Zeros in Division

a)

3 x 4 = 12

4 x 3 = 12

b)

7 x 1 = 7

c)

6 x 0 = 0

d)

0 $\div$ 9=0

40.

Ones in Division

a)

3 x 4 = 12

4 x 3 = 12

b)

7 x 1 = 7

c)

6 x 0 = 0

d)

8 $\div$ 1 = 8

41.

9 ÷ 1 = 9

a)

Commutative Property of Multiplication

b)

Identity Property of Multiplication

c)

Zero Property of Multiplication

d)

Zeros in Division

e)

Ones in Division

42.

8 x 7 = 7 x ___

a)

7

b)

8

c)

56

d)

1

43.

27 x 1= ____

a)

27

b)

1

c)

0

d)

271

44.

8 x 0 =

a)

8

b)

1

c)

0

d)

80

45.

9 x 6 = ____ x 9

a)

9

b)

6

c)

1

d)

54

46.

7 ÷ 7 =

a)

49

b)

7

c)

1

d)

0

47.

9 ÷ 1 =

a)

9

b)

1

c)

0

d)

10

48.

0 ÷ 6 =

a)

6

b)

1

c)

0

d)

10

49.

8 ÷____ = 8

a)

1

b)

8

c)

0

d)

4

50.

7 ÷ ____ = 1

a)

7

b)

1

c)

10

d)

0

51.

4÷ 4 =

a)

1

b)

4

c)

16

d)

0

52.

Which shows how 20 pennies are shared equally by 4 children?

a)

b)

c)

d)

53.

Which repeated addition sentence matches the picture?

a)

3 + 3 + 3 = 9

b)

4 + 3 = 7

c)

4 + 4 + 4 = 12

d)

2 + 2 + 2 + 2 + 2 + 2 = 12

54.

Jeff has 18 pencils. He put the same number of pencils in each cup. Which shows how many pencils are in each cup?

a)

12 shared by 6 = 2

b)

16 shared by 4 = 4

c)

18 shared by 6 = 3

d)

18 shared by 9 = 2

55.

Nikki has 24 strawberries. She needs 6 strawberries to make a smoothie. How many smoothies can she make?

a)

6

b)

24

c)

4

d)

8

56.

Kim has 21 star stickers. She puts 7 stickers on each card she makes. How many cards can she make?

a)

3

b)

14

c)

7

d)

28

57.

3 x 8 =

a)

20

b)

22

c)

24

d)

26

58.

20 ÷ 4 =

a)

5

b)

6

c)

7

d)

8

59.

8 x 8 =

a)

48

b)

54

c)

56

d)

64

60.

4 x 4 =

a)

12

b)

14

c)

16

d)

18

61.

27 ÷ 3 =

a)

6

b)

7

c)

8

d)

9

62.

Mrs. Henderson is placing her family pictures in an album. Each page holds 8 pictures. She has 487 photos. How many pages will be in her album?

*A strip diagram can help with this problem but first you need to know what to do? Are you going to multiply or divide? Do you know the total amount of photos Mrs. Henderson has? If you do, then your answer cannot be greater than her total.

*You also need to remember when we talked about the bus and leaving 8 students behind. Will we need another bus or will we call for another one so the 8 students left over can join us?

a)

60

b)

70

c)

61

d)

62

63.

Jack practices his piano 35 minutes each day for 8 weeks. How many minutes does he practice?

*Remember to calculate how many days are in a week!

a)

245 minutes

b)

1,960 minutes

c)

280 minutes

d)

1,000 minutes

64.

Miss Watson has 3 bags of beads. Each bag contains 125 beads. Miss Watson plans to create necklaces with her beads. Each necklace will have 9 beads. What is the greatest number of necklaces Miss Watson can make with the amount of beads she has?

*You have to interpret the remainder: Drop it? Round up? or Use it?

a)

6 necklaces

b)

12 necklaces

c)

40 necklaces

d)

41 necklaces

65.

Reams of paper come in packs of 1,000. If Mrs. Arterberry purchases 525 reams for VRE, how many pieces of paper does the school have?

*Remember what we do when we multiply and divide by 10s, 100s, and 1,000s. Ask yourself if you know your total or not. That will help you decide what strategy to use.

a)

525,000

b)

5,250

c)

52,500

d)

500,025

66.

What is the product of 74 and 26?

a)

1,429

b)

1,942

c)

1,924

d)

924

67.

Lauren is solving 6 x 283. Which equation shows one way to solve 6 x 283?

a)

6 x 283 = (6+200) x (6+80) x (6+3)

b)

6 x 283 = (6x200) + (6x80) + (6x3)

c)

6 x 283 = (6x200) x (6x80) x (6x3)

d)

6 x 283 = (6+200) + (6+80) + (6+3)

68.

Miss K. read 87 minutes per week for 17 weeks. How many minutes did she read?

*What do you do if you do not know your total? If the question is asking for a total, what do you do?

a)

1,784 minutes

b)

1,487 minutes

c)

479 minutes

d)

1,479 minutes

69.

What is the quotient of 876 and 4?

*Use the box method to solve this problem.

a)

219

b)

3,504

c)

291

d)

912

70.

There are 336 cookies that will be packed into bags. Each bag will contain 8 cookies. How many bags of cookies will be filled?

*Do you know your total? What do you do if you do know it? If you do know it, your answer cannot be greater than it.

a)

24 bags

b)

2,688

c)

42 bags

d)

43 bags

71.

Mrs. Olsen has 624 boxes of cookies to sell in 8 days. How many boxes should she sell each day?

*Remember what to do if you know your total!!!! Your answer cannot be greater than your total.

a)

80

b)

4,992

c)

88 boxes

d)

78 boxes

72.

Mike is 3 years old. Joe is 6 times as old as Mike. Which equation shows how to find Joe's age?

a)

6 ÷ 3 = 2

b)

9 - 3 = 6

c)

3 x 6 = 18

d)

3 + 6 = 9

73.

The students in the fourth grade sold 684 erasers for a fund-raiser. They sold 4 times as many erasers as the students in fifth grade. How many erasers did the students in the fifth grade sell?

a)

2,736

b)

160

c)

2,000

d)

171

74.

The workers at a farm collected 837 chicken eggs and 9 duck eggs. The number of chicken eggs collected was how many times the number of duck eggs collected?

a)

90

b)

93

c)

95

d)

92

75.

A basket has 25 flowers. If there are 12 baskets of equal number of flowers, how many flowers are there in all?

a)

250

b)

300

c)

280

d)

350

76.

A basketball team scored a total of 747 points for the season. This was 9 times the number of points scored in the first game. How many points were scored during the first game?

a)

83

b)

82

c)

75

d)

73

77.

Select the statements that represent 9 x 4

a)

Chris collected 9 cards each month for 4 months.

b)

Chris has 4 times as many cards as Mike. Mike has 9 cards.

c)

Chris has 4 cards. Mike has 9 cards.

d)

Chris has 9 cards. Mike has 4 times as many cards as Chris.

e)

Chris collected 9 cards. Mike has 4 more cards than Chris.

78.

Select the TWO expressions that have a value of 75

a)

75 ÷ 2

b)

200 ÷ 3

c)

150 ÷ 2

d)

175 ÷ 5

e)

225 ÷ 3

79.

Find the product of 1,892 x 6.

a)

9,460

b)

10,406

c)

11,352

d)

11,452

80.

What is the product of 543 and 3?

a)

1,550

b)

1,692

c)

1,690

d)

1,592

81.

Select ALL the expressions that have the product of 240.

a)

200 (40)

b)

80 x 3

c)

60 (4)

d)

48 x 5

e)

20 (8)

82.

An area model for 6 x 653 is shown.

What is the missing partial product?

a)

30

b)

56

c)

110

d)

300

83.

A multiplication problem is shown.

Find the missing product.

a)

3,400

b)

1,200

c)

340

d)

120

84.

What is 1,851 divided by 4?

a)

462 R 3

b)

462 R 2

c)

462 R 1

d)

462

85.

Select the TWO expressions that have a value of 35.

a)

70 ÷ 2

b)

100 ÷ 2

c)

100 ÷ 5

d)

165 ÷ 5

e)

175 ÷ 5

86.

Select THREE number sets that make the statement below true.

___ times as many as ___ is 40

a)

2, 20

b)

4, 10

c)

5, 8

d)

5, 20

e)

20, 20

87.

5 x 5 =

a)

5 _

b)

1

c)

10

d)

25

88.

5 x _ = 15

a)

3

b)

2

c)

6

d)

8

89.

5 x 1 =

a)

6

b)

5

c)

10

d)

7

90.

5 x _ = 30

a)

4

b)

6

c)

8

d)

7

91.

4 x _ = 20

a)

13

b)

5

c)

6

d)

16

92.

8 x _ = 40

a)

4

b)

5

c)

32

d)

6

93.

7 x 5 =

a)

30

b)

40

c)

35

d)

45

94.

5 x _ = 10

a)

2

b)

5

c)

3

d)

1

95.

9 x _ = 45

a)

5

b)

6

c)

8

d)

36

96.

1 x _ = 5

a)

2

b)

4

c)

5

d)

15

Multiplication Properties and Division

Total questions: 96

Worksheet time: 24hrs 0mins

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