We included HMH Into Math Grade 3 Answer Key PDF Module 7 Lesson 1 Relate Multiplication and Division to make students experts in learning maths.
HMH Into Math Grade 3 Module 7 Lesson 1 Answer Key Relate Multiplication and Division
I Can use related multiplication and division equations to solve problems.
Spark Your Learning
Jackson’s family grows vegetables in a plot in their town’s community garden.
Represent and describe the arrangement of plots in the garden.
Answer:
The number of plots is 20 plots.
Explanation:
The number of plots that Jackson’s family grows vegetables in their town’s community garden is 5×4 is 20 plots.
Turn and Talk How does the arrangement of garden plots show multiplication and division?
Answer:
5×4 = 20,
20÷4 = 5.
Explanation:
The arrangement of garden plots show multiplication and division is 5×4 = 20 and 20÷4 = 5.
Build Understanding Math Board
1. Jackson plants pepper plants in 3 equal rows. He plants 18 plants. How many plants are in each row?
Show equal groups.
Answer:
The number of plants in each row is 6 plants.
Explanation:
Given that Jackson plants pepper plants in 3 equal rows and he plants 18 plants. So the number of plants in each row is 18÷3 which is 6 plants.
A. How many plants are in each row?
_____________
Answer:
6 plants.
Explanation:
The number of plants in each row is 6 plants.
Connect to Vocabulary
Inverse operations are opposite operations. Multiplication and division are inverse operations.
B. What multiplication and division equations can you write to model the problem?
Answer:
3×6 = 18,
18÷3 = 6.
Explanation:
The multiplication and division equations to write to model the problem is 18÷3 = 6 and 3×6 = 18.
C. How are the equations the same? How are they different?
Answer:
As the equations have same numbers and they perform different operations and the numbers are in different order.
Turn and Talk Explain how you can use multiplication to divide. Give an example.
2. Zoe plants 5 equal rows of lettuce plants. One row is shown. How many lettuce plants does Zoe plant?
Answer:
The number of lettuce plants does Zoe plant is 15 plants.
Explanation:
Given that Zoe plants 5 equal rows of lettuce plants with 3 plants in each row. So the number of lettuce plants does Zoe plant is 5×3 = 15 plants.
A. How many lettuce plants are in each row? ____
Answer:
3 plants.
Explanation:
The number of lettuce plants in each row is 3 plants.
B. What multiplication equation and division equation can you write to model this problem? ____
Answer:
15÷5 = 3 plants,
5×3 = 15 plants.
Explanation:
The multiplication equation and division equation to write to model this problem is 5×3 = 15 plants and 15÷5 which is 3.
C. How do these equations show how multiplication and division are related?
Answer:
As the equations have same numbers and they perform different operations and the numbers are in different order.
Check Understanding Math Board
1. Sophia picks 12 tomatoes. She puts the same number of tomatoes into 4 bags. How many tomatoes does Sophia put in each bag? Write an equation to model the problem. _____
Answer:
The number of tomatoes does Sophia put in each bag is 12÷4 = 3 tomatoes.
Explanation:
Given that Sophia picks 12 tomatoes and she puts the same number of tomatoes into 4 bags. So the number of tomatoes does Sophia put in each bag is 12÷4 which is 3.
2. Jonah picks 2 ears of corn from each of 8 corn plants. How many ears of corn does Jonah pick? Write an equation to model the problem. ____
Answer:
The number of ears of corn does Jonah pick is 16 ears of corn.
Explanation:
Given that Jonah picks 2 ears of corn from each of 8 corn plants. So the number of ears of corn does Jonah pick is 2×8 which is 16 ears of corn.
On Your Own
Question 3.
Critique Reasoning Eva has 21 squash seeds. She plants groups of 3 squash seeds together in a mound. Eva says that she can use division to find the number of mounds she plants. Jenna says that she can use multiplication to find the number of mounds. Who is correct? Explain your thinking.
Answer:
They both are correct.
Explanation:
Given that Eva has 21 squash seeds and she plants groups of 3 squash seeds together in a mound which is 21÷3 = 7. Jenna says that she can use multiplication to find the number of mounds. So the multiplication equation will be 3×7 = 21. So they both are correct.
Use Tools Use the visual model to complete the equations.
Question 4.
14 ÷ 2 = __
2 × ___ = 14
Answer:
14 ÷ 2 = 7,
2 × 7 = 14.
Explanation:
The division of 14 ÷ 2 is 7 and 2 × 7 = 14.
Question 5.
15 ÷ 3 = ___
3 × ___ = 15
Answer:
15 ÷ 3 = 5,
3 × 5 = 15.
Explanation:
The division of 15 ÷ 3 is 5 and 3 × 5 = 15.
Use Structure Write the unknown number.
Question 6.
Answer:
The missing digit is 8.
Explanation:
Let the missing digit be X, so the equation will be 2 × X = 16 where X is
X = 16 ÷ 2
= 8.
Question 7.
Answer:
The missing digit is 18.
Explanation:
Let the missing digit be X, so the equation will be 6 × 3 = X where X is
X = 18
Question 8.
Answer:
The missing digit is 5.
Explanation:
Let the missing digit be X, so the equation will be X × 6 = 30 where X is
X = 30 ÷ 6,
X = 5.
Question 9.
Answer:
The missing digit is 24.
Explanation:
Let the missing digit be X, so the equation will be 3 × 8 = X where X is
X = 24.
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