We included HMH Into Math Grade 3 Answer Key PDF Module 7 Lesson 7 Build Fluency with Multiplication and Division to make students experts in learning maths.
HMH Into Math Grade 3 Module 7 Lesson 7 Answer Key Build Fluency with Multiplication and Division
I Can use more than one strategy to recall multiplication and division facts to solve problems.
Step It Out
1. The students in Ms. Ray’s class can be seated in equal groups of 2s, 3s, or 4s. How many students could be in the class?
Show equal groups of 2s, 3s, and 4s.
A. Count by 2, 3, and 4. Look for a pattern. Circle the numbers that are the same in each set.
___________________________
___________________________
Answer:
The same numbers in each set are 12, 24.
Explanation:
The multiples of 2 are 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30.
The multiples of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27, 30.
The multiples of 4 are 4, 8, 12, 16, 20, 24, 28, 32.
So the same numbers in each set are 12, 24.
B. How many students could be in the class? ___________________________
Answer:
12 or 24 students.
Explanation:
The number of students could be in the class is 12 or 24.
Turn and Talk Could the students in Ms. Ray’s class be seated in equal groups of 6? How many groups would there be?
Step it Out
2. Many ladybugs have 7 spots. Kiara counts 42 spots on ladybugs on her porch. Each of the ladybugs Kiara sees has 7 spots. How many ladybugs are on Kiara’s porch?
Answer:
The number of ladybugs are on Kiara’s porch is 6 ladybugs.
Explanation:
As there are many ladybugs have 7 spots and Kiara counts 42 spots on ladybugs on her porch. As each of the ladybugs Kiara sees has 7 spots, so the number of ladybugs are on Kiara’s porch is 42 ÷ 7 which is 6 ladybugs.
A. What related equations can you write to solve the problem?
__________________________
Answer:
42 ÷ 7 = 6,
7 × 6 = 42.
Explanation:
The related equations will be 42 ÷ 7 which is 6 and 7 × 6 which is 42.
Turn and Talk How can you use multiplication to solve a division problem?
Check Understanding Math Board
Multiply or divide.
Question 1.
5 × 2 = ___
Answer:
5 × 2 = 10.
Explanation:
The multiplication of 5 × 2 is 10.
Question 2.
9 ÷ 9 = ___
Answer:
9 ÷ 9 = 1.
Explanation:
The division of 9 ÷ 9 is 1.
Question 3.
___ = 6 × 7
Answer:
56 = 6 × 7.
Explanation:
The multiplication of 6 × 7 is 56.
Question 4.
Answer:
16 ÷ 4 = 4.
Explanation:
The division of 16 ÷ 4 is 4.
Question 5.
___ = 8 × 3
Answer:
8 × 3 = 24.
Explanation:
The multiplication of 8 × 3 is 24.
Question 6.
Answer:
30 ÷ 5 = 6.
Explanation:
The division of 30 ÷ 5 is 6.
Question 7.
There are 5 lobes on a maple leaf. Mira collects some maple leaves. She counts 45 lobes. How many leaves does Mira collect?
Answer:
The number of leaves does Mira collected is 9 leaves.
Explanation:
Given that there are 5 lobes on a maple leaf and Mira collects some maple leaves as she counts 45 lobes which is 45 ÷ 5 = 9 leaves.
Question 8.
A pet store has 80 fish. If equal groups of fish are kept in 8 fish tanks, how many fish are in each tank? ________________
Answer:
The number of fish are in each tank is 10 fish.
Explanation:
Given that a pet store has 80 fish and if equal groups of fish are kept in 8 fish tanks. So the number of fish are in each tank is 80÷8 which is 10 fish.
On Your Own
Question 9.
Model with Mathematics A group of people have signed up for an ultimate flying disc event. Each team must have 7 members. If 56 people signed up, how many teams can be made? Write a multiplication equation and a division equation to model the problem.
Answer:
The division equation is 56÷7 = 8,
The multiplication equation is 7 × 8 = 56.
Explanation:
Given that each team must have 7 members and if 56 people signed up. The number of teams can be made is 56÷7 which is 8 people. And the multiplication equation will be 7 × 8 which is 56.
Use Structure Complete the related facts.
Question 10.
3 × __ = 6
6 ÷ __ = 3
Answer:
3 × 2 = 6
6 ÷ 2 = 3
Explanation:
Let the missing digit be X, so the equations will be 3 × X = 6 where X is
X = 6 ÷ 3
= 2.
Question 11.
7 × __ = 63
63 ÷ __ = 7
Answer:
7 × 9 = 63.
63 ÷ 9 = 7.
Explanation:
Let the missing digit be X, so the equations will be 7 × X = 63 where X is
X = 63 ÷ 7
= 9.
Question 12.
__ × 5 = 30
30 ÷ __ = 5
Answer:
6 × 5 = 30.
30 ÷ 6 = 5.
Explanation:
Let the missing digit be X, so the equations will be X × 5 = 30 where X is
X = 30 ÷ 5
= 6.
Use Repeated Reasoning Multiply or divide.
Question 13.
9 × 1 = ___
Answer:
9 × 1 = 9.
Explanation:
The multiplication of 9 × 1 is 9.
Question 14.
7 ÷ 7 = ___
Answer:
7 ÷ 7 = 1.
Explanation:
The division of 7 ÷ 7 is 1.
Question 15.
3 × 8 = ___
Answer:
3 × 8 = 24.
Explanation:
The multiplication of 3 × 8 is 24.
Question 16.
Answer:
6 ÷ 3 = 2.
Explanation:
The division of 6 ÷ 3 which is 2.
Question 17.
5 × 8 = ___
Answer:
5 × 8 = 40.
Explanation:
The multiplication of 5 × 8 is 40.
Question 18.
Answer:
49 ÷ 7 = 7.
Explanation:
The division of 49 ÷ 7 which is 7.
Question 19.
___ = 9 × 3
Answer:
9 × 3 = 27.
Explanation:
The multiplication of 9 × 3 is 27.
Question 20.
Answer:
16 ÷ 4 = 4.
Explanation:
The division of 16 ÷ 4 which is 4.
Question 21.
__ = 5 × 10
Answer:
50 = 5 × 10.
Explanation:
The multiplication of 5 × 10 is 50.
Question 22.
A model of an airplane shows 6 passenger seats in each row. How many passenger seats are in the first 10 rows of the model airplane? ________________
Answer:
The number of passengers in first 10 rows will be 60 passengers.
Explanation:
Given that a model of an airplane shows 6 passenger seats in each row. So for the first 10 rows of the model airplane the number of passengers will be 6×10 which is 60 passengers.
Question 23.
Open Ended Write and solve a word problem for 4 × 7.
________________
Answer:
On Your Own
Question 24.
There are 36 friends playing games at a picnic. If the group of friends is divided equally into 4 teams, how many friends are on each team?
Answer:
The number of friends in each team will be 9 friends.
Explanation:
Given that there are 36 friends playing games at a picnic and if the group of friends is divided equally into 4 teams. The number of friends in each team will be 36 ÷ 4 which is 9 friends.
Use Structure Complete the related facts.
Question 25.
5 × __ = 35
___ = 35 ÷ 5
Answer:
5 × 7 = 35,
7 = 35 ÷ 5.
Explanation:
Let the missing digit will be X, so the equation will be 5 × X = 35 where X is
X = 35 ÷ 5,
= 7.
Question 26.
___ × 9 = 27
27 ÷ 9 = ___
Answer:
3 × 9 = 27,
27 ÷ 9 = 3.
Explanation:
Let the missing digit will be X, so the equation will be X × 9 = 27 where X is
X = 27 ÷ 9,
= 3.
Question 27.
14 = 2 × __
14 ÷ ___ = 2
Answer:
14 = 2 × 7,
14 ÷ 7 = 2.
Explanation:
Let the missing digit will be X, so the equation will be 2 × X = 14 where X is
X = 14 ÷ 2,
X = 7.
Question 28.
16 = 4 × __
16 ÷ 4 = ____
Answer:
16 = 4 × 4,
16 ÷ 4 = 4.
Explanation:
Let the missing digit will be X, so the equation will be 16 = 4 × X where X is
X = 16 ÷ 4,
X = 4.
Question 29.
___ = 1 × 6
6 ÷ 1 = ____
Answer:
6 = 1 × 6,
6 ÷ 1 = 6.
Explanation:
Let the missing digit will be X, so the equation will be X = 1 × 6 where X is
X = 6.
And the division of 6 ÷ 1 is 6.
Question 30.
___ × 8 = 48
48 ÷ 8 = ___
Answer:
6 × 8 = 48,
48 ÷ 8 = 6.
Explanation:
Let the missing digit will be X, so the equation will be 48 = X × 8 where X is
X = 48 ÷ 8,
X = 6.
Use Repeated Reasoning Multiply or divide.
Question 31.
___ = 5 × 5
Answer:
5 × 5 = 25.
Explanation:
The multiplication of 5 × 5 is 25.
Question 32.
5 ÷ 5 = ___
Answer:
5 ÷ 5 = 1.
Explanation:
The division of 5 ÷ 5 is 1.
Question 33.
___ = 2 × 4
Answer:
2 × 4 = 8.
Explanation:
The multiplication of 2 × 4 is 8.
Question 34.
Answer:
28÷7 = 7.
Explanation:
The division of 28÷4 is 7.
Question 35.
___ = 9 × 8
Answer:
9 × 8 = 72.
Explanation:
The multiplication of 9 × 8 is 72.
Question 36.
Answer:
18÷3 = 6.
Explanation:
The division of 18÷3 is 6.
Question 37.
Reason A small school bus has 10 seats. Each seat fits 3 elementary school students or 2 high school students.
Answer:
Question 38.
Health and Fitness The United States Department of Agriculture suggests MyPlate as a guide for making healthy food choices. MyPlate recommends that third graders eat 5 ounces of protein each day. How many ounces of protein should third graders eat in a week?
Answer:
35 ounces.
Explanation:
Given that the third graders eat 5 ounces of protein each day and the number of ounces of protein should third graders eat in a week is 5×7 = 35 ounces.