All the solutions provided in **McGraw Hill Math Grade 5 Answer Key PDF Chapter 3 Lesson 11 Use Models to Interpret the Remainder** will give you a clear idea of the concepts.

## McGraw-Hill My Math Grade 5 Answer Key Chapter 4 Lesson 11 Use Models to Interpret the Remainder

**Build It**

A group of fifth graders collected 46 cans of food to donate to 3 food banks. If each food bank is to get an equal number of cans, how many cans do they each receive?

1. Use ___ connecting cubes to represent the cans of food.

Use ___ paper plates to represent the food banks.

Divide the cubes equally among the ____ plates.

How many cubes are on each plate? ____

How many cubes are left over? _____

Answer:

15 cubes.

1 cube is leftover.

Use 46 connecting cubes to represent the cans of food.

Explanation:

3 paper plates to represent the food banks.

Divide the cubes equally among the 3 plates.

15 cubes are on each plate.

3 x 15 = 45

1 cube are left over.

46 – 45 = 1

2. Interpret the remainder.

Since each food bank is to get the same number of cans of food, they will each receive ___ cans.

There is ____ can left over.

Answer:

15 cans

1 leftover

Explanation:

Since each food bank is to get the same number of cans of food,

Each will receive 15 cans.

There is 1 can left over.

**Try It**

**A total of 35 students are going on a field trip to NASA’s Johnson Space Center in Houston, Texas. If there needs to be one adult for every 8 students, how many adults are needed?**

1. Use ____ connecting cubes to represent the students.

Use paper plates to represent the adults. How many cubes are on each plate? ____

How many cubes are left over? _____

Answer:

One adult for 8 students.

4 x 8 = 32

35 – 32 = 3

Explanation:

Use 35 connecting cubes to represent the students.

Use 5 paper plates to represent the adults.

8 cubes on each plate.

3 cubes are left over.

2. Interpret the remainder.

There are ____ groups of ___ students. They will each need an adult.

There are ____ students who are not enough for a full group of 8. They will also need an adult.

So, ___ + ____, or ___ adults are needed.

Answer:

5 adults are needed.

Explanation:

There are 5 groups of 35 students.

They will each need an adult.

There are 3 students who are not enough for a full group of 8.

They will also need an adult.

So, 4 + 1, or 5 adults are needed.

**Talk About It**

Question 1.

**Mathematical PRACTICE 3 Justify Conclusions** In Activity 1, the remainder was dropped. Explain why.

Answer:

Dropping the remainder means that rounding it up and include it in the answer.

Explanation:

Activity 1

they will each receive 15 cans.

There is 1 can left over.

Question 2.

In Activity 2, the quotient was “rounded up” to 5. Explain why.

Answer:

When the number is more than 5 we round up to the nearest ten.

So, 35 is rounded to 40.

40 ÷ 8 = 5 or 4 + 1 = 5 as show in the activity 2.

Explanation:

In Activity 2,

There are 5 groups of 35 students.

They will each need an adult.

There are 3 students who are not enough for a full group of 8.

They will also need an adult.

So, 4 + 1, or 5 adults are needed.

**Practice It**

**Solve using models. Explain how to interpret the remainder. Draw your models.**

Question 3.

Each picnic table at a park seats 6 people. How many tables will 83 people at a family reunion need?

Answer:

14 tables.

Explanation:

14 x 6 = 84

14 tables will be needed for 83 people at a family reunion.

Question 4.

Mrs. Malone has $75 to buy volleyballs for Lincoln Middle School. How many can she buy at $9 each?

Answer:

3 volleyballs can buy.

Explanation:

Mrs. Malone has $75 to buy volleyballs for Lincoln Middle School.

$9 each volleyballs.

Question 5.

Darcy has 63 flowers to use to make centerpieces. Each centerpiece uses 8 flowers. How many centerpieces can she make?

Answer:

7 centerpieces she make.

Explanation:

Darcy has 63 flowers to use to make centerpieces,

Each centerpiece uses 8 flowers,

8 x 7 = 56

56 + 7 = 63

63 – 56 = 7

**Apply It**

**For Exercises 6-8, solve using models. Explain how to interpret the remainder.**

Question 6.

A teacher received 30 new calculators. Only 8 calculators fit in each carrier. How many carriers does the teacher need?

Answer:

30 ÷ 8 = 3

Interpret the remainder, 6

She need 2 carriers.

Explanation:

A teacher received 30 new calculators.

Only 8 calculators fit in each carrier.

30 ÷ 8 = 3

Remainder is 6.

She need 8 – 6 = 2 carriers.

Question 7.

**Mathematical PRACTICE 5 Use Math Tools** Joel has 48 oranges. He puts 7 oranges in a bag. How many bags can he fill?

Answer:

7 bags.

Explanation:

Divide 48 ÷ 7 = 6

Interpret the remainder, 6

There are 6 oranges left over.

So, a total 7 bags can he fill.

Question 8.

Anita is helping to make gift boxes for a community center. She has a total of 34 toys. She places 3 toys in each box. How many boxes will she need?

Answer:

11 boxes.

Explanation:

11 x 3 = 33

one toy is left over,

33 + 1 = 34

Divide 34 ÷ 3 = 11

Interpret the remainder, 1.

There are 1 toy left over, which is not enough for another box.

So, a total of 11 giftbox can be put up.

Question 9.

**Mathematical PRACTICE Reason** Suppose 2 friends want to share 5 cookies evenly. Interpret the remainder in two different ways.

Answer:

Divide 5 ÷ 2 = 2

Interpret the remainder, 1.

There are 1 cookie left over, which is not enough for another share.

So, a total of 2 cookie can be put up.

Explanation:

2 friends want to share 5 cookies.

2 x 2 = 4

5 – 4 = 1

One left over if 2 friends want to share 5 cookies evenly.

**Write About It**

Question 10.

How can I use models to interpret the remainder?

Answer:

Dividing the quantity equally.

Explanation:

Dividing the quantity equally among the events share and the remainder is the quantity left over.

### McGraw Hill My Math Grade 5 Chapter 3 Lesson 11 My Homework Answer Key

**Practice**

Question 1.

Jarrod’s sports card holder can hold 9 cards on each page. How many pages will Jarrod need if he has 75 sports cards? Solve using models. Explain how to interpret the remainder. Draw your models.

Answer:

9 pages.

Explanation:

Jarrod’s sports card holder can hold 9 cards on each page.

Divide 75 ÷ 9 = 8

Interpret the remainder, 3.

9 pages will Jarrod need if he has 75 sports cards.

3 interpret the remainder.

**Solve using models. Explain how to interpret the remainder. Draw your models.**

Question 2.

A group of 4 students are selling candy bars to raise money for a field trip. The group needs to sell 53 candy bars. If each student sells an equal amount, how many candy bars do they each sell? Solve using models. Explain how to interpret the remainder. Draw your models.

Answer:

13 candy bars.

Explanation:

A group of 4 students are selling candy bars.

The group needs to sell 53 candy bars.

Number of candy bars they each sell,

53 ÷ 4 = 13

Interpret remainder 3.

Check: 13 x 4 = 52

52 + 1 = 53.

**Problem Solving**

**For Exercises 3-5, solve using models. Explain how you interpreted the remainder. Draw your models.**

Question 3.

**Mathematical PRACTICE 4 Model Math** Joel has 59 songs on his MP3 player. He equally divides them in 7 groups. How many songs will be in each group?

Answer:

8 songs in each group.

Explanation:

Joel has 59 songs on his MP3 player.

He equally divides them in 7 groups.

8 songs will be in each group.

3 songs leftover.

can make 9 groups

Question 4.

Lauren’s shoe organizer can hold 5 pairs of shoes of each row. How many rows will Lauren need if she has 24 pairs of shoes?

Answer:

5 rows.

Explanation:

Divide 24 ÷ 5 = 4

Interpret the remainder, 4.

Lauren’s shoe organizer can hold 5 pairs of shoes of each row.

5 rows will Lauren need if she has 24 pairs of shoes.

Question 5.

Mr. Staley has $62 to buy binders for his mathematics class. How many binders can he buy at $3 each?

Answer:

20 binders.

Explanation:

Mr. Staley has $62 to buy binders for his mathematics class.

Divide 62 ÷ 3 = 20

Interpret the remainder, 2.

20 binders he can buy at $3 each.