All the solutions provided in **McGraw Hill Math Grade 3 Answer Key PDF Chapter 8 Lesson 6 Divide by 8 and 9** will give you a clear idea of the concepts.

## McGraw-Hill My Math Grade 3 Answer Key Chapter 8 Lesson 6 Divide by 8 and 9

**Math in My World**

Example 1

Kyra and 8 of her friends made 63 paper airplanes. They will each take home an equal number. How many paper airplanes will each take home?

Find 63 ÷ 9.

One Way Use counters.

Partition 63 counters into 9 equal groups. Draw the equal groups.

There are ____ counters in each group.

My drawing shows that 63 ÷ 9 = ____.

Another Way Use repeated subtraction.

Use repeated subtraction to find 63 ÷ 9, or .

Each friend will take home ____ airplanes.

Answer:

Given that,

Kyra and 8 of her friends made 63 paper airplanes.

So, 63 ÷ 8 = 7.

There are 7 counters in each group.

Each friend will take home 7 airplanes.

Example 2

Every time 8 people came through the gate at the sea otter exhibit, a bell rang. How many times did the bell ring if 32 people came through the gate?

Find 32 ÷ 8 = . ← unknown

Draw an array and use the inverse operation of division to find the unknown.

Answer:

Given that,

Every time 8 people came through the gate at the sea otter exhibit, a bell rang.

The total number of people are 32.

So, 32 ÷ 8 = 4.

The inverse operation is 4 x 8 = 32.

The array of 4 x 8 is

**Helpful Hint**

Division can be thought of as a missing factor problem.

The missing factor is ____.

So, 32 ÷ 8 = ____ and ____ × 8 = 32

The bell rang ____ times

Answer:

The missing factor is 4.

So, 32 ÷ 8 = 4 and 4 × 8 = 32

Therefore the bell rang 4 times.

**Guided Practice**

**Use counters to find how many are in each group.**

Question 1.

40 counters

5 equal groups

____ in each group

So, 40 ÷ 5 = ____.

Answer:

Given that,

40 counters and 5 equal groups.

So, 40 ÷ 5 = 8.

Therefore there are 8 in each group.

Question 2.

54 counters

9 equal groups

____ in each group

So, 54 ÷ 9 = ____

Answer:

Given that,

54 counters and 9 equal groups.

So, 54 ÷ 9 = 6.

Therefore there are 6 in each group.

**Talk Math**

How can multiplication facts help you to check if your division is correct?

Answer:

The multiplication facts is helped to check the division.

12 x 2 = 24.

24 ÷ 12 = 2.

Question 3.

Use repeated subtraction to find 48 ÷ 8.

Answer:

The repeated subtraction of 48 ÷ 8 is

**Independent Practice**

**Use counters to find the number of equal groups or the number in each group.**

Question 4.

36 counters 9 equal groups

____ in each group

So, 36 ÷ 9 = ____

Answer:

Given that,

36 counters 9 equal groups.

So, 36 ÷ 9 = 4.

Therefore there are 4 in each group.

Question 5.

45 counters

____ equal groups 5 in each group

So, 45 ÷ ____ = 5.

Answer:

Given that,

45 counters and 5 in each group.

So, 45 ÷ 5 = 9.

Therefore there are 5 equal groups.

Question 6.

56 counters 8 equal groups

____ in each group

So, 56 ÷ 8 = ____.

Answer:

Given that,

56 counters 8 equal groups.

So, 56 ÷ 8 = 7.

Therefore there are 7 in each group.

Question 7.

Use repeated subtraction to divide.

Answer:

64 divided by 8 equal to 64.

64 ÷ 8 = 8.

The repeated subtraction of 64 ÷ 8 is

**Algebra Use the inverse operation to find each unknown. Draw an array.**

Question 8.

40 ÷ 8 = ?

5 ÷ = 40

? = ____

= ____

Answer:

40 divided by 8 equal to 5.

40 ÷ 8 = 5.

Multiplication of 5 with 8 then you get 40.

5 x 8 = 40.

? = 5.

The unknown is 8

The array of 5 x 8 is

Question 9.

27 ÷ 9 = ?

3 × = 27

? = ____

= ____

Answer:

27 divided by 9 equal to 3.

27 ÷ 9 = 3.

Multiplication of 3 with 9 then you get 27.

3 x 9 = 27.

? = 3.

Unknown = 9.

The array of 3 x 9 is

Question 10.

48 ÷ 8 = ?

6 × = 48

? = ____

= ____

Answer:

48 divided by 8 equal to 6.

48 ÷ 8 = 6.

Multiplication of 6 with 8 then you get 48.

6 x 8 = 48.

? = 6.

The unknown is 8.

The array of 6 x 8 is

**Problem Solving**

**Algebra For Exercises 11-13, write a division sentence with a symbol for the unknown. Then solve.**

Question 11.

Each art project uses 9 tiles. There are 81 tiles. How many art projects can be made?

Answer:

Given that,

Each art project uses 9 tiles

The total number of tiles are 81.

So, 81 ÷ 9 = 9.

Therefore there are 9 art projects can be made.

Question 12.

Forty-eight students visited the petting zoo. The students were divided evenly into eight groups. How many students were in each group?

Answer:

Given that,

The total number of students visited the petting zoo is 48.

The students were divided evenly into eight groups.

So, 48 ÷ 8 = 6.

Therefore there are 6 students in each group.

Question 13.

Amy traveled 72 miles by bike along the coast in 9 days. She traveled the same number of miles each day. How many miles did Amy travel each day?

Answer:

Given that,

Amy traveled 72 miles by bike in 9 days.

She traveled the same number of miles each day.

So, 72 ÷ 9 = 8.

Therefore Amy travelled 8 miles in each day.

Question 14.

**Mathematical PRACTICE 1 Keep Trying** One baseball game has 9 innings. If 36 out of the 54 innings for the season have been played, how many games remain?

Answer:

One baseball game has 9 innings.

If 36 out of the 54 innings for the season have been played.

So, 54 ÷ 9 = 6.

36 ÷ 9 = 4.

6 – 4 = 2.

Therefore the number of games remain are 2.

**HOT Problems**

Question 15.

**Mathematical PRACTICE 2 Use Number Sense** Write 2 numbers that cannot be divided evenly by 8 or 9.

Answer:

That 2 numbers are 5, 7.

5 is not divided by 8 or 9.

7 is not divided by 8 or 9.

Question 16.

**? Building on the Essential Question** Explain how finding a quotient can be thought of as an unknown, or missing, factor problem.

Answer:

Finding a quotient can be a unknown.

For example 12 ÷ 6 = 2.

2 is the quotient.

Here 2 is the unknown.

### McGraw Hill My Math Grade 3 Chapter 8 Lesson 6 My Homework Answer Key

**Practice**

**Use counters to find the number of equal groups or the number in each group.**

Question 1.

27 counters 9 equal groups

____ in each group

So, 27 ÷ 9 = ____.

Answer:

Given that

27 counters 9 equal groups.

So, 27 ÷ 9 = 3.

Therefore there are 3 in each group.

Question 2.

54 counters

____ equal groups 6 in each group

So, 54 ÷ ___ = 6.

Answer:

Given that,

54 counters and 6 in each group.

So, 54 ÷ 6 = 9.

Therefore there are 9 equal groups.

Question 3.

32 counters 8 equal groups

____ in each group

So, 32 ÷ 8 = _____

Answer:

Given that,

32 counters 8 equal groups

So, 32 ÷ 8 = 4.

Therefore there are 4 in each group.

Question 4.

Use repeated subtraction to divide.

63 ÷ 9 = ____

Answer:

The repeated subtraction to divide 63 ÷ 9 is

So, 63 ÷ 9 = 7.

**Algebra Use the inverse operation to find each unknown.**

Question 5.

16 ÷ 8 =

× 8 = 16

= ____

Answer:

16 divided by 8 equal to 2.

16 ÷ 8 = 2.

Multiplication of 2 with 8 then you get 16.

2 x 8 = 16.

The unknown is 2.

Question 6.

÷ 9 = 4

4 × 9 =

= ____

Answer:

36 divided by 9 equal to 4.

36 ÷ 9 = 4.

Multiplication of 4 with 9 then you get 36.

4 x 9 = 36.

The unknown is 36.

Question 7.

64 ÷ 8 =

× 8 = 64

= ____

Answer:

64 divided by 8 equal to 8.

64 ÷ 8 = 8.

Multiplication of 8 with 8 then you get 64.

8 x 8 = 64.

The unknown is 8.

**Problem Solving**

**Mathematical PRACTICE 2 Use Algebra For Exercises 8 and 9, write a division sentence with a symbol for the unknown. Then solve.**

Question 8.

Michael, the chef, has 18 pineapple slices to divide evenly among 9 fruit cups. How many pineapple slices will he put in each cup?

Answer:

Given that,

Michael, the chef, has 18 pineapple slices to 9 fruit cups.

So, 18 ÷ 9 = 2.

Therefore there are 2 pineapple slices will he put in each cup.

Question 9.

Kayla counted 40 chairs in the auditorium. There were 8 chairs in each row. How many rows of chairs were there?

Answer:

Given that,

Kayla counted 40 chairs in the auditorium

The each row has 8 chairs.

So, 40 ÷ 8 = 5.

Therefore there are 5 rows of chairs are there.

Question 10.

Simon sold 72 packages of popcorn for the fundraiser. There are 9 packages in each box. If he has delivered 27 packages, how many boxes does Simon have left to deliver?

Answer:

Given that,

The total number of popcorn packages are 72.

There are 9 packages in each box.

If he has delivered 27 packages.

The number of boxes are 72 ÷ 9 = 8.

So, 27 ÷ 9 = 3.

Therefore Simon delivered 3 boxes.

So, 8 – 3 = 5.

Therefore Simon left to deliver 5 boxes.

**Test Practice**

Question 11.

Which number sentence uses the inverse operation to find the unknown in the division sentence 81 ÷ 9 = ?

A. 90 – 9 = 81

B. 72 + 9 = 81

C. 8 × 9 = 72

D. 9 × 9 = 81

Answer:

81 divided by 9 equal to 9.

81 ÷ 9 = 9.

The inverse operation is 9 x 9 = 81.

The unknown is 9.

Option D is the correct answer.