We included HMH Into Math Grade 3 Answer Key PDF Module 8 Lesson 3 Use Multiplication and Division to Solve Problem Situations to make students experts in learning maths.
HMH Into Math Grade 3 Module 8 Lesson 3 Answer Key Use Multiplication and Division to Solve Problem Situations
I Can represent and solve problems using multiplication and division and unknown numbers.
Step It Out
1. At ABC Sports Camp, Coach Hall places 35 players on 5 equal teams. How many players are on each team?
A. Write the numbers you know. Use n for the unknown number.
Total number of players: ___
Number of equal teams: ____
Number of players on each team: ____
Answer:
Total number of players: 35,
The number of equal teams: 5,
The number of players on each team: 7 players.
Explanation:
Given that a coach hall places 35 players on 5 equal teams. So the number of players in each team is 35÷5 which is 7 players.
B. You can use a bar model and write a multiplication equation to represent the problem. Use n for the unknown number.
Answer:
5×7 = 35.
Explanation:
Represented in a bar model and the multiplication equation is 5×7 = 35.
C. What amount is n equal to? n = ___.
Think: 5 times what number equals 35?
Answer:
n=7.
Explanation:
Here, the amount n is equal to 7. Like 5 times the number 7 is equal to 35.
D. There are ___ players on each team.
Answer:
There are 7 players on each team.
Turn and Talk What is a different equation you can use to solve the problem and check the
reasonableness of your answer?
Step It Out
2. At another sports camp, each team uses 6 basketballs for practice. If 48 basketballs are used, how many teams are there?
Answer:
The number of teams are 8 teams.
Explanation:
Given that each team uses 6 basketballs for practice and if 48 basketballs are used, the number of teams will be 48÷6 = 8 teams.
A. Write the numbers you know. Use t for the unknown number. Then complete the bar model. Total number of basketballs: ___
Number of teams: ____
Number of basketballs per team: ___
Answer:
Number of teams: 8 teams,
Number of basketballs per team: 6 basketballs.
Explanation:
Given that each team uses 6 basketballs for practice and if 48 basketballs are used, the number of teams will be 48÷6 = t teams. So t = 8 which is 8 teams.
B. You can use a bar model and write a division equation to represent the problem. Use t for the unknown number. ____ ÷ t = ____
Answer:
48÷t = 6.
Explanation:
The division equation to represent the problem is 48÷t = 6, so t = 48÷6 which is 8.
C. What amount is t equal to? t = _____
Think: 48 divided by what number equals 6?
Answer:
t = 8.
Explanation:
The amount that is equals to t is 8. As 48÷8 = 6.
D. There are ___ basketball teams.
Answer:
There are 8 basketball teams.
Turn and Talk How can you rewrite the problem so that the unknown is the number in each group?
Check Understanding Math Board
Question 1.
Jaime arranges 32 action figures into rows. Each row has 8 figures. How many rows of figures are there?
Answer:
There are 4 rows of figures.
Explanation:
Given that Jaime arranges 32 action figures into rows and each row has 8 figures. So the number of rows of figures are 32÷8 which is 4. So there are 4 rows of figures.
Find the value of the unknown number.
Question 2.
5 × g = 30
g = ___
Answer:
g = 6.
Explanation:
Given the equation is 5 × g = 30 where g is
g = 30÷5
= 6.
Question 3.
b ÷ 4 = 7
b = ___
Answer:
b =28.
\(\frac{7}{4}\)
Explanation:
Given the equation is b ÷ 4 = 7 where b is
b = 7×4
= 28.
Question 4.
9 = z ÷ 4
z = ___
Answer:
z = 36.
Explanation:
Given the equation is 9 = z ÷ 4 where z is
z = 9×4
= 36.
On Your Own
Model with Mathematics Write an equation. Use the letter n for the unknown number. Solve.
Question 5.
A chef plans to arrange 20 small sandwiches in 4 rows. Each row will have the same number of sandwiches. How many sandwiches will be in each row?
n = ____
Answer:
The number of sandwiches will be in each row is 5 sandwiches.
Explanation:
Given that a chef plans to arrange 20 small sandwiches in 4 rows and each row will have the same number of sandwiches. So the number of sandwiches will be in each row is 20÷4 which is 5 sandwiches.
Question 6.
Symara has 54 inches of yarn for a project. She cuts the yarn into 6 pieces of equal length. How long is each piece?
______________
n = _____
Answer:
The length of each piece is 9 inches.
Explanation:
Given that Symara has 54 inches of yarn for a project and she cuts the yarn into 6 pieces of equal length. So the length of each piece is 54 ÷ 6 which is 9 inches.
Question 7.
Shari places 24 tiles into 3 rows on a wall. Each row has the same number of tiles. How many tiles are in each row?
__________
n = _____
Answer:
The number of tiles are in each row is 8 tiles.
Explanation:
Given that Shari places 24 tiles into 3 rows on a wall and each row has the same number of tiles. So the number of tiles are in each row is 24÷3 which is 8 tiles.
Find the value of the unknown number.
Question 8.
5 × a = 25
a = ___
Answer:
a = 5.
Explanation:
Given the equation is 5 × a = 25 where a is
a = 25÷5
= 5.
Question 9.
e ÷ 8 = 2
e = ____
Answer:
e = 16.
Explanation:
Given the equation is e ÷ 8 = 2 where e is
e = 2×8
= 16.
Question 10.
12 = c × 3
c = ____
Answer:
c = 4.
Explanation:
Given the equation is 12 = c × 3 where c is
c = 12÷3
= 4.
Question 11.
42 = w × 6
w = ___
Answer:
w = 7.
Explanation:
Given the equation is 42 = w × 6 where w is
w = 42÷6
= 7.
Question 12.
63 ÷ k = 7
k = ___
Answer:
k = 9.
Explanation:
Given the equation is 63 ÷ k = 7 where k is
k = 63÷7
= 9.
Question 13.
9 × j = 72
j = ___
Answer:
j = 8.
Explanation:
Given the equation is 9 × j = 72 where j is
j = 72÷9
= 8.
Question 14.
3 = 18 ÷ h
h = ___
Answer:
h = 6.
Explanation:
Given the equation is 3 = 18 ÷ h where h is
h = 18÷3
= 6.
Question 15.
d = 30 ÷ 6
d = ___
Answer:
d = 5.
Explanation:
Given the equation is d = 30 ÷ 6 where d is
d = 5.
Question 16.
7 = m ÷ 2
m = ___
Answer:
m = 14.
Explanation:
Given the equation is 7 = m ÷ 2 where m is
m = 7×2
= 14.
On Your Own
Question 17.
Social Studies The state of Iowa was the largest producer of corn in the United States in 2016. In April, a farmer plants 9 acres of corn. In October, the farmer harvests 6 tons of corn from each acre. How many tons of corn does the farmer harvest? Use t to represent the unknown number.
Multiplication equation: ____
Division equation: _____
t = ____
- Explain how you know what t is equal to.
____________________
____________________
Answer:
t =54,
Multiplication equation: 9×6 = 54,
Division equation: 54÷9 = 6.
Explanation:
Given that a farmer plants 9 acres of corn and in October, the farmer harvests 6 tons of corn from each acre. So the number of acres did the farmer harvest be t, so 9×6 = t where t is 54 tons. The multiplication equation is 9×6 = 54 and the division equation is 54÷9 = 6.
Question 18.
Model with Mathematics Jack runs 21 miles each week. He runs 7 days each week. He runs the same number of miles each day. How many miles does Jack run each day? Use n to represent the unknown number.
Multiplication equation: ____________
Division equation: ____________
n = _____________
- How many miles does Jack run each day? __________
Answer:
Jack run 3 miles each day.
Explanation:
Given that Jack runs 21 miles each week and he runs 7 days each week which is 21÷7 = n where n is 3. So Jack runs 3 miles each day. The multiplication equation is 7×3 = 21 and the division equation is 21÷7 = 3.
Question 19.
Open Ended Write a word problem with an unknown number. Write an equation to represent the problem and then solve. ___________
Answer: