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Using Bar Models: Multiplication and Division

CHAPTER

16Worksheet 1 Real-World Problems:

Multiplication1. 6 × 2 = 2. 5 × 3 =

3. 9 × 4 = 4. 8 × 5 =

5. 7 × 10 =

Solve. Use bar models to help you.

Example 3 are in each bag.

There are 3 bags. How many are there in all?

?

3

?

3

3 3

3 × 3 =

There are in all.

3 groups of 3 . 3 + 3 + 3 or 3 × 3. So, multiply to find the answer.

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Chapter 16 Lesson 1114

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6. There are 6 dog biscuits in each bag. There are 2 bags in all. How many dog biscuits are there in all?

?

6

?

6

6 6

2 × 6 =

There are dog biscuits in all.

7. Teresa makes 4 bracelets. Each bracelet has 4 beads. How many beads does Teresa use in all?

4

?

4 4 4

4 × 4 =

Teresa uses beads in all.

Use to show the number of dog biscuits.

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Worksheet 2 Real-World Problems: Division

1. 14 ÷ 2 = 2. 15 ÷ 3 =

3. 20 ÷ 4 = 4. 45 ÷ 5 =

5. 80 ÷ 10 =

Solve. Use bar models to help you.

Example Suzi has 18 marbles in a bag.

She shares the marbles equally among 3 of her friends. How many marbles does each friend receive?

18 marbles

18 marbles

1 group

? marbles

1 group 1 group

18 ÷ 3 =

Suzi’s friends received marbles each.

Use to show the number of marbles.

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Chapter 16 Lesson 2

6. Penny has 15 pens. She puts an equal number of pens into 3 pencil cases. How many pens are there in each pencil case?

1 group

15 pens

15 pens

?

1 group 1 group

15 ÷ 3 =

Each pencil case has pens.

7. A farmer puts 32 eggs onto 4 trays. Each tray has the same number of eggs. How many eggs are there on each tray?

?

32 eggs

32 ÷ 4 =

Each tray has eggs.

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Solve. Use bar models to help you.

Example Jason puts 10 cats into rooms.

He puts 5 cats into each room. How many rooms are there?

10 cats

10 cats

1 room

? rooms

1 room

5 cats 5 cats

10 ÷ 5 =

There are rooms.

Each room has 5 cats. 5 × ? = 10 5 × 2 = 10 So, there are 2 rooms.

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Chapter 16 Lesson 2

8. Sasha puts 16 hair clips into some boxes. Each box has 2 hair clips. How many boxes are there?

16 hair clips

1box

? boxes

1box

1box

1box

1box

1box

1box

1box

16 hair clips

2 2 2 2 2 2 2 2

16 ÷ 2 =

There are boxes.

9. Julie puts 8 tea bags into some cups. Each cup has 2 tea bags. How many cups does Julie have?

? cups

8 tea bags

2 2

8 ÷ 2 =

Julie has cups.

Use to show the number of hair clips.

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Worksheet 3 Real-World Problems: Measurement and Money

Solve. Use bar models to help you.

Example 3 sticks are each 5 feet long.

They are placed end to end to make a long stick. How long is the long stick?

? ft

5 ft

3 × 5 =

The long stick is feet long.

1. A carpenter had a wooden block. She cut the block into 4 pieces. Each piece of wood was 4 inches long. How long was the wooden block?

? in.

4 in.

4 × 4 =

The wooden block was inches long.

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Chapter 16 Lesson 3

Solve. Use bar models to help you.

Example A toy train is made up of 7 parts.

Each part is the same length. The train is 70 centimeters long. What is the length of each part?

70 cm

? cm

70 ÷ 7 =

The length of each part is centimeters.

2. The total length of a piece of rope is 45 meters. The rope is cut into equal pieces that are 9 meters long. How many pieces of rope are there?

99

? pieces

45 m

45 ÷ 9 =

There are pieces of rope.

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Solve. Use bar models to help you.

Example Susanna has 4 coins.

The mass of each coin is 10 grams. What is the mass of all the coins?

? g

10 g

4 × 10 =

The mass of all the coins is grams.

3. The mass of each melon is 3 kilograms. What is the total mass of 4 melons?

? kg

3 kg

4 × 3 =

The total mass of 4 melons is kilograms.

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Chapter 16 Lesson 3

Solve. Use bar models to help you.

Example The total mass of 3 loaves of bread is 30 grams.

Each loaf of bread has the same mass. What is the mass of each loaf of bread?

30 g

? cm

30 ÷ 3 =

The mass of each loaf is grams.

4. The total mass of some bags of soil is 25 kilograms. The mass of each bag of soil is 5 kilograms. How many bags of soil are there?

? bags

25 kg

5 5

25 ÷ 5 =

There are bags of soil.

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Solve. Use bar models to help you.

Example A bottle can hold 2 liters of water.

It takes 5 of these bottles to fill a container. How many liters of water can the container hold?

? L

2 L

5 × 2 =

The container can hold liters of water.

5. Dan has 4 bottles. Each bottle has 3 liters of water. How many liters of water do the bottles have in all?

? L

3 L

4 × 3 =

The bottles have liters of water in all.

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Chapter 16 Lesson 3

Solve. Use bar models to help you.

Example Randy drinks 14 liters of water in a week.

He drinks the same amount of water each day. How many liters of water does he drink every day?

14 L

? L

14 ÷ 7 =

He drinks liters of water everyday.

6. Mr. Levan uses 24 liters of paint to paint some rooms. He uses 4 liters of paint to paint each room. How many rooms does Mr. Levan paint?

? rooms

24 L

4 L4 L

24 ÷ 4 =

Mr. Levan paints rooms.

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Solve. Use bar models to help you.

Example Gillian buys 4 erasers.

Each eraser costs 10¢. How much does Gillian pay in all?

?

10¢

4 × 10¢ = ¢

She pays ¢ in all.

7. Kane saves $4 every day for a week. How much does she save in 1 week?

?

$4

7 × $4 = $

She saves $ in 1 week.

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Chapter 16 Lesson 3

Solve. Use bar models to help you.

Example Mrs. Steven has $45.

She gives all of it equally to her 5 children. How much money does each child get?

$45

?

$45 ÷ 5 = $

Each child gets $ .

8. Mrs. Nelson has $27. She divides the money equally among her children. Each child gets $9. How many children does Mrs. Nelson have?

? children

$27

$9 $9

27 ÷ 9 =

Mrs. Nelson has children.

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