All the solutions provided in **McGraw Hill Math Grade 3 Answer Key PDF Chapter 5 Lesson 4 Relate Division and Multiplication** will give you a clear idea of the concepts.

## McGraw-Hill My Math Grade 3 Answer Key Chapter 5 Lesson 4 Relate Division and Multiplication

Division and multiplication are related operations.

**Build It**

Find 21 ÷ 3.

1. Model 21 counters divided into 3 equal groups. Draw the model. How many counters are in each group?

____ counters

Answer:

7 counters are in each group.

Explanation:

Given,

No of counters = 21

The counters are divided into 3 equal groups.

21 ÷ 3 = 7 counters in each group.

2. Write a division sentence.

Answer:

Dividend is 21, Divisor is 3 and the quotient is 7.

Explanation:

3. Write a multiplication sentence.

Answer:

Number of groups = 3

Number in each group = 7

Number in all = 21

Explanation:

Number of groups × number in each group = Number in all

3 × 7 = 21

**Try It**

**Find 20 ÷ 4.**

1. Model 20 connecting cubes divided into 4 equal rows, Draw the model. How many cubes are in each row?

____ cubes

Answer:

20 ÷ 4 = 5 cubes

Explanation:

No of cubes = 20

No of cubes divided into equal rows = 4

20 ÷ 4 = 5 cubes

Therefore there are 5 cubes in each row.

2. Write a division sentence.

Answer:

Dividend = 20

Divisor = 4

Quotient = 5

Explanation:

3. Write a multiplication sentence.

Answer:

4 × 5 = 20

Explanation:

**Talk About It**

Question 1.

Explain how you used models to show 21 ÷ 3.

Answer:

The models we used here division sentence

21 ÷ 3 = 7

3 × 7 = 21 is called multiplication sentence.

Explanation:

The example figures are

Division Sentence

Multiplication Sentence

Question 2.

**Mathematical PRACTICE 6 Explain to a Friend** Explain how the array shows that 21 ÷ 3 = 7 is related to 3 × 7 = 21.

Answer:

The array has rows and column

Rows are 21 with three column

Division = 21 ÷ 3 = 7

Multiplication = 7 × 3 = 21

Explanation:

Question 3.

**Mathematical PRACTICE 8 Look for a Pattern** What pattern do you notice between the number sentences in the two activities?

Answer: A mathematical pattern is a sequence that follows a specific rule. We notice Number patterns between the number sentences in the two activities.

Question 4.

How can multiplication facts be used to divide?

Answer:

In multiplication, the numbers multiplied are called factors. The resultant is called a product.

In division, the number that is being divided is called the dividend, the number that is divided is called the divisor, and the resultant is called the quotient.

**Practice It**

**Write a related division and multiplication sentence for each.**

Question 5.

_______

_______

Answer:

12 ÷ 3 = 4

Explanation:

Given

No of counters = 12

No of groups = 3

No of counters in each group = 12 ÷ 3 = 4

The division sentence is 12 ÷ 3 = 4.

The multiplication sentence is 3 × 4 = 12

Question 6.

_______

_______

Answer:

12 ÷ 2 = 6

Explanation:

Given

No of counters = 12

No of groups = 2

No of counters in each group = 12 ÷ 2 = 6

The division sentence is 12 ÷ 2 = 6.

The multiplication sentence is 6 × 2 = 12

**Use connecting cubes to solve. Draw your model. Write a division sentence.**

Question 7.

Model 10 connecting cubes divided into 2 equal rows. How many cubes are in each row?

Answer:

10 ÷ 2 =5 cubes

Explanation:

No of cubes = 10

No of rows = 2

10 ÷ 2 =5 cubes

Question 8.

Model 6 connecting cubes divided into 3 equal rows. How many cubes are in each row?

Answer:

6 ÷ 3 = 2 cubes

Explanation:

No of cubes = 6

No of rows = 3

6 ÷ 3 = 2 cubes

**Algebra Use counters to model each problem. Find the unknown. Then write a related multiplication sentence.**

Question 9.

12 ÷ 6 =

The unknown is _____

Answer:

The unknown is 2.

Explanation:

Given,

12 ÷ 6 = x

x = 2

Question 10.

21 ÷ 7 =

The unknown is _____

Answer:

3

Explanation:

Given,

21 ÷ 7 = x

7 × 3 = 21

x = 3

The unknown is 3.

Question 11.

25 ÷ 5 =

The unknown is _____

Answer:

5

Explanation:

Given,

25 ÷ 5 = x

5 × 5 = 25

x = 5

The unknown is 5.

**Apply It**

**Draw a model to solve. Then write a division sentence.**

Question 12.

A scientist organizes 14 bugs into 2 equal rows. How many bugs are in each row?

Answer:

14 ÷ 2 = 7

Explanation:

Given,

No of bugs = 14

No of rows = 2

Divide no of bugs by no of rows

14 ÷ 2 = 7

The no of bugs in each row is 7.

Question 13.

A teacher divides her 24 students into 4 equal activity groups. How many students are in each group?

Answer:

24 ÷ 4 = 6

Explanation:

No of students = 24

No of activity groups = 4

No of the students ÷ No of activity groups

24 ÷ 4 = 6

The number of students that are in each group is 6.

Question 14.

Arianna divides 25 gold stars between herself and 4 friends. How many stars does each friend receive?

Answer:

Each friend has 5 stars.

Explanation:

No of gold stars = 25

No of divided by her friends and herself is 5

25 ÷ 5 = 5

No of the stars each friend received is 5.

Question 15.

Mark checked out 12 books from the library. He reads an equal amount of books each week for 4 weeks. How many books does he read each week?

Answer:

12 ÷ 4 = 3 each week.

Explanation:

Number of books from the library = 12

He read an equal amount of books for 4 weeks

12 ÷ 4 = 3 each week.

Hence there are 3 books he read each week.

Question 16.

**Mathematical PRACTICE 1 Make a Plan** Eli had 20 lemons. He used an equal number in each of 3 pitchers of lemonade. He has 2 lemons left. How many lemons did Eli use to make one pitcher of lemonade?

Answer:

6 lemons.

Explanation:

He used 6 lemons for each pitcher so the answer is 6.

**Write About It**

Question 17.

How are arrays used in both multiplication and division?

Answer:

An array is used to represent multiplication and division using rows and columns. Here rows represent the number of groups and columns represent the number of each group.

### McGraw Hill My Math Grade 3 Chapter 5 Lesson 4 My Homework Answer Key

**Practice**

**Write a related division and multiplication sentence for each.**

Question 1.

Answer:

10 ÷ 2 = 5

Explanation:

There are 10 counters given in the diagram.

These counters are divided into 2 groups.

10 ÷ 2 = 5

Hence there are 5 counters in each group.

Question 2.

Answer:

27 ÷ 3 = 9

Explanation:

There are 27 counters that are given in the diagram.

These are divided into equal groups

The no of groups is 3.

These groups are divided into 9 equal counters.

27 ÷ 3 = 9

**Problem Solving**

**Draw a model to solve. Then write a division sentence.**

Question 3.

42 students need to divide equally into 7 vans going to the museum. How many students will be in each van?

Answer:

42 ÷ 7 = 6

Explanation:

No of students = 42

No of vans = 7

To find: How many students will be in each van?

42 ÷ 7 = 6

There are 6 students who will be in each van.

Question 4.

**Mathematical PRACTICE 4 Model Math** Carla is giving out pencils to 30 students. The students are divided equally among 6 tables. How many pencils will Carla leave at each table?

Answer:

5

Explanation:

Given,

No of students = 30

No of the tables that students are divided equally = 6

30 ÷ 6 =5

Carla left with 5 pencils at each table.

Question 5.

Mr. Rina has 7 glass figures. He will use 1 box to mail each glass figure to a customer. How many boxes does Mr. Rina need?

Answer:

7

Explanation:

Given,

Mr. Rina has 7 glass figures.

He used 1 box to mail each glass.

Based on the given question

Let us find out the given question

7 ÷ 1 = 7

Mr. Rina needs 7 boxes.

**Vocabulary Check**

**Use the vocabulary to label each number in the division sentence.**

quotient divisor dividend

Answer:

Dividend = The larger number that is separated into smaller groups.

Divisor = The number of groups in which the dividend is separated.

Quotient = This is the answer to the given problem.

Explanation: