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.