We included HMH Into Math Grade 4 Answer Key PDF Module 7 Lesson 4 Solve Multistep Multiplication and Division Problems to make students experts in learning maths.
HMH Into Math Grade 4 Module 7 Lesson 4 Answer Key Solve Multistep Multiplication and Division Problems
I Can solve multistep word problems involving multiplication, division, and interpretation of remainders.
Step It Out
1. Four classes participate in the first Field Day session. Each class has 21 students. They play in 3 teams with the same number of students on each team. How many students are on each team?
A. Think about the first step. How can you find the total number of students?
____________________________
Answer:
Given,
Four classes participate in the first Field Day session.
Each class has 21 students.
They play in 3 teams with the same number of students on each team.
So, Total number of students = 4 x 21 = 84
B. Think about the second step. How can you find the number of students on each team?
____________________________
Answer:
Number of students in each team = 84/3 = 28
Therefore, 28 students are on each team.
C. Draw a visual model and write an equation to represent each step.
Answer:
D. Use the visual model and equations to solve the problem. ___ students are on each team.
Answer:
Turn and Talk How do you know that your answer is reasonable?
The problem is solved by using multiplications and divisions but not by guessing. So, the answer is reasonable.
Step It Out
2. Remi has 3 batches of photos from Field Day. Each batch has 19 photos. She puts 4 photos on each page of her album. How many album pages does Remi use?
A. Think about the first step. Why can you multiply to find the total number of photos?
_____________________________________
Answer:
Given,
Remi has 3 batches of photos from Field Day.
Each batch has 19 photos.
She puts 4 photos on each page of her album.
Total number of photos = 3 x 19 = 57.
B. Think about the second step. Why can you divide to find the number of album pages Remi uses?
_____________________________________
Answer:
The number of album pages Remi uses = 57/4 = 14.25
Therefore, Remi uses 14 and 1/4 pages.
C. Write equations to model each step.
Number of photos, n: ___________
Number of pages, p: ___________
Answer:
Number of photos, n: Number of batches x number of photos that each batch has
Number of pages, p: total number of photos / number of photos on each page.
D. Use the equations to solve the problem.
Remi uses ___ album pages.
Answer:
Remi uses 14 and 1/4 pages.
Turn and Talk How did the remainder affect your answer to the question in this problem?
Check Understanding Math Board
Question 1.
There are 48 people going on a hike. Each pack of water has 8 bottles.
- How many packs are needed for each hiker to have 2 bottles?
__________________________________ - How can you check that your answer is reasonable?
__________________________________
Answer:
12 packs are needed for each hiker to have 2 bottles.
let the required number of packs be n
Given,
There are 48 people going on a hike.
Each pack of water has 8 bottles.
n x 8 = 2 x 48
n = 96/8 = 12
Therefore, 12 packs are needed for each hiker to have 2 bottles.
On Your Own
Question 2.
Attend to Precision A chef has 5 dozen eggs. How many 3-egg omelets can the chef make?
Answer:
Given,
A chef has 5 dozen eggs.
Total number of eggs = 5 x 12 = 60
Number of 3-egg omelets = 60/3 = 20
Therefore, 20 3-egg omelets can chef can make.
Question 3.
Model with Mathematics Juan buys 10 bottles of juice for a party. Each bottle holds 24 fluid ounces. How many 6-fluid ounce glasses can Juan fill with the juice? Write equations to model and solve the problem. Use z for the number of fluid ounces and g for the number of glasses.
Answer:
Given,
Juan buys 10 bottles of juice for a party.
Each bottle holds 24 fluid ounces.
Let, z be the number of fluid ounces and g be the number of glasses.
Total number of fluid ounces in 10 bottles = z x 10 = 10 x 24 = 240 fluid ounces.
Number of 6-fluid ounce glasses = 240/6 = 40
Therefore, 40 6-fluid ounce glasses can Juan fill with the juice.
Question 4.
Reason The manager of a basketball league buys 96 practice jerseys for 6 teams. Each team has 8 players, and each player gets the same number of jerseys. How many practice jerseys does each player get?
Answer:
Given,
The manager of a basketball league buys 96 practice jerseys for 6 teams.
Each team has 8 players, and each player gets the same number of jerseys.
Total number of players in 6 teams = 8 x 6 = 48
number of jerseys each player get = 96/48 =2
Therefore, 2 practice jerseys that each player gets.
Question 5.
Reason Four friends buy 3 packages of these erasers. They share the erasers equally among themselves and give any leftover erasers to their teacher. How many erasers do they give to the teacher?
Answer:
Given,
Four friends buy 3 packages of these erasers.
They share the erasers equally among themselves and give any leftover erasers to their teacher.
From the figure, there are 18 erasers in each pack
Total number of erasers = 3 x 18 = 54
number of erasers that each one get = 54/4 = 13 and 2 will be left
Therefore, they give 2 erasers to the teacher.
On Your Own
Question 6.
Attend to Precision Mr. Drake buys tickets for a movie at the museum. He buys tickets for himself and his wife and for his children and their friends. The total is $46. How many child tickets does Mr. Drake buy?
Answer:
Given,
Mr. Drake buys tickets for a movie at the museum.
He buys tickets for himself and his wife and for his children and their friends.
The total is $46.
From the figure,
the cost of a ticket for each adult is $7 and for each child is $4.
total cost for 7 adults adult = 6 x 7 = $42 ( only one possibility )
remaining money = $46 – $42 = $4/$4 = 1
Therefore, there is only one ( 1 ) child ticket.
Question 7.
Attend to Precision There are 90 students in the fourth grade. They are divided into 3 equal classes. Each class is separated into teams of 6 students. How many teams are in each fourth-grade class?
Answer:
Given,
There are 90 students in the fourth grade.
They are divided into 3 equal classes.
Each class is separated into teams of 6 students.
Number of students in each class = 90/3 = 30
Number of students in each team = 30/6 = 5
Number of teams = 5 x 3 = 15
Therefore, number of teams in fourth grade class are 15.
Question 8.
Reason Simon has 2 boxes of car models. Each box has 23 models. He displays the models on shelves that can hold 8 models each. What is the least number of shelves he needs for all the models? How do you know?
__________________________________
__________________________________
__________________________________
Answer:
Given,
Simon has 2 boxes of car models.
Each box has 23 models.
He displays the models on shelves that can hold 8 models each.
Number of models = 2 x 23 = 46
Number of shelves = 46/8 = 5 + 0.75
Therefore, 5 is the least number of shelves he needs for all the models. Because 5 is the integer and 0.75 is a decimal.
Question 9.
Construct Arguments Anita plans a party for 96 guests. She can rent all rectangular or all round tables. Which kind of table should she rent? Explain your choice.
Answer:
Given,
Anita plans a party for 96 guests.
She can rent all rectangular or all round tables.
From the data,
number of seats in rectangle table = 6
price of each table = $8
number of seats in round table =8
price of each table = $9
For rectangle table,
number of tables required = 96/6 = 16
total cost = 16 x $8 = $128
For round table,
number of tables required = 96/8 = 12
total cost = 12 x $9 = $108
Therefore, She should rent 12 round tables. Because the rent of round tables is less compared to rent of rectangle tables.