All the solutions provided in McGraw Hill Math Grade 4 Answer Key PDF Chapter 3 Lesson 2 Relate Division and Subtraction will give you a clear idea of the concepts.
McGraw-Hill My Math Grade 4 Answer Key Chapter 3 Lesson 2 Relate Division and Subtraction
Math in My World
Example 1
Wyatt is giving 15 colored pencils to 3 friends. How many colored pencils will each friend get?
You can use repeated subtraction to find 15 ÷ 3.
How many times was 3 subtracted from 15? ____
15 ÷ 3 = ____
So, each friend will get ____ colored pencils.
Answer:
Given that,
Wyatt is giving 15 colored pencils to 3 friends.
Using the repeated subtraction 15 ÷ 3 = 5.
So, each friend will get 5 colored pencils.
Example 2
The students in Mr. Bantha’s class are helping set up games for Family Fun Math Night. Each game can have four players. How many games will be needed for 12 people?
Find 12 ÷ 4.
You can skip count backwards on a number line to find 12 ÷ 4.
1. Find 12.
2. Skip count backwards by 4 until zero is reached.
3. Count the number of times 4 was subtracted.
The model shows that 
Four was subtracted 
times.
12 ÷ 4 = 3
So, ____ games will be needed.
Answer:
Each game can have four players.
Number of people are 12.
The model shows that
Four was subtracted 4 times.
So, 4 games will be needed.
Talk Math
Describe how to use subtraction to find 16 ÷ 4 without using a number line.
Answer:
16 divided by 4 equal to 4
16 ÷ 4 = 4.
Use the repeated subtraction find 16 ÷ 4.
16 – 4 = 12.
12 – 4 = 8.
8 – 4 = 4.
4 – 4 = 0.
Guided Practice
Use repeated subtraction to divide.
Question 1.
10 ÷ 2 = ____
10 – 2 = ____
____ – 2 = ____
____ – 2 = ____
____ – 2 = ____
____ – 2 = ____
Answer:
10 divided by 2 equal to 5.
10 ÷ 2 = 5.
Using the repeated subtraction.
10 – 2 = 8.
8 – 2 = 6.
6 – 2 = 4
4 – 2 = 2
2 – 2 = 0.
Question 2.
12 ÷ 3 = ___
12 – 3 = ___
___ – 3 = ___
___ – 3 = ___
___ – 3 = ___
Answer:
12 divided by 3 equal to 4.
Using the repeated subtraction.
12 – 3 = 9.
9 – 3 = 6.
6 – 3 = 3.
3 – 3= 0.
Independent Practice
Use repeated subtraction to divide.
Question 3.
16 ÷ 8 = ___
Answer:
16 divided by 8 equal to 2.
16 ÷ 8 = 2.
Using the repeated subtraction.
16 – 8 = 8.
8 – 8 = 0.
Question 4.
14 ÷ 2 = ____
Answer:
14 divided by 2 equal to 7.
14 ÷ 2 = 7.
Using the repeated subtraction.
14 – 2 = 12.
12 – 2 = 10.
10 – 2 = 8.
8 – 2 = 6.
6 – 2 = 4.
4 – 2 = 2.
2 – 2 = 0.
Question 5.
18 ÷ 6 = ___
Answer:
18 divided by 6 equal to 3.
18 ÷ 6 = 3.
Using the repeated subtraction.
18 – 6 = 12.
12 – 6 = 6.
6 – 6 = 0.
Question 6.
15 ÷ 5 = ____
Answer:
15 divided by 5 equal to 3.
15 ÷ 5 = 3.
Using the repeated subtraction.
15 – 5 = 10.
10 – 5 = 5.
5 – 5 = 0.
Question 7.
25 ÷ 5 = ___
Answer:
25 divided by 5 equal to 5.
25 ÷ 5 = 5.
Using the repeated subtraction.
25 – 5 = 20.
20 – 5 = 15.
15 – 5 = 10.
10 – 5 = 5.
5 – 5 = 0.
Question 8.
27 ÷ 9 = ___
Answer:
27 divided by 9 equal to 3.
27 ÷ 9 = 3.
Using the repeated subtraction.
27 – 9 = 18.
18 – 9 = 9.
9 – 9 = 0.
Question 9.
24 ÷ 8 = ___
Answer:
24 divided by 8 equal to 3.
24 ÷ 8 = 3.
Using the repeated subtraction.
24 – 8 = 16.
16 – 8 = 8.
8 – 8 = 0.
Question 10.
20 ÷ 4 = ___
Answer:
20 divided by 4 equal to 5.
20 ÷ 4 = 5.
Using the repeated subtraction.
20 – 4 = 16.
16 – 4 = 12.
12 – 4 = 8.
8 – 4 = 4.
4 – 4 = 0.
Question 11.
24 ÷ 6 = ___
Answer:
24 divided by 6 equal to 4.
24 ÷ 6 = 4.
Using the repeated subtraction.
24 – 6 = 18.
18 – 6 = 12.
12 – 6 = 6.
6 – 6 = 0.
Algebra Find each unknown number.
Question 12.
12 ÷ 4 = 
= ___
Answer:
12 divided by 4 equal to 3.
12 ÷ 4 = 3.
The unknown is 3.
Question 13.
21 ÷ = 3
= ___
Answer:
21 divided by 3 equal to 7.
21 ÷ 3 = 7.
The unknown is 7.
Question 14.
÷ 5 = 2
= ___
Answer:
We know that 10 divided by 5 equal to 2.
10 ÷ 2 = 5.
The unknown is 10.
Problem Solving
Write a number sentence to solve.
Question 15.
Mike buys a DVD set of a television series. Each DVD has 6 episodes. There are 24 episodes. How many DVDs are in the set?
Answer:
Given that,
Each DVD has 6 episodes.
There are 24 episodes.
So, 24 ÷ 6 = 4.
Therefore there are 4 DVDs set.
Question 16.
Lucy is making the same bracelet for 8 of her friends. She has 32 beads. How many beads can she put on each bracelet?
Answer:
Given that,
Lucy is making the same bracelet for 8 of her friends.
She has 32 beads.
So, 32 ÷ 8 = 4.
Therefore there are 4 beads in each bracelets.
Question 17.
Mathematical PRACTICE 8 Look for a Pattern There are 9 mockingbird nests in a tree. There are a total of 18 eggs in the nests. Each nest has the same number of eggs. How many mockingbird eggs are in each nest?
Answer:
Given that,
There are 9 mockingbird nests in a tree.
There are a total of 18 eggs in the nests.
Each nest has the same number of eggs.
So, 18 ÷ 9 = 2.
Therefore there are 2 mockingbird eggs in each nest.
HOT Problems
Question 18.
Mathematical PRACTICE 8 Find the Error Olivia is using repeated subtraction to find 18 ÷ 2. Find and correct her mistake.
Answer:
18 ÷ 2 = 9.
Repeated subtraction for 18 ÷ 2 is
18 – 2 = 16.
16 – 2 = 14.
14 – 2 = 12.
12 – 2 = 10.
10 – 2 = 8.
8 – 2 = 6.
6 – 2 = 4.
4 – 2 = 2.
Yes, the given repeated subtraction is correct.
Question 19.
? Building on the Essential Question How are the operations of subtraction and division related? Explain
Answer:
Repeated subtraction is the way of division.
Here do the repeated subtraction until you get 0.
The number of times you subtracted is equal to quotient.
McGraw Hill My Math Grade 4 Chapter 3 Lesson 2 My Homework Answer Key
Practice
Use repeated subtraction to divide.
Question 1.
27 ÷ 3 = ____
Answer:
27 divided by 3 equal to 9.
27 ÷ 3 = 9
Using the repeated subtraction.
27 – 3 = 24.
24 – 3 = 21.
21 – 3 = 18.
18 – 3 = 15.
15 – 3 = 12.
12 – 3 = 9.
9 – 3 = 6.
6 – 3 = 3.
3 – 3 = 0.
Question 2.
30 ÷ 10 = ____
Answer:
30 divided by 10 equal to 3.
30 ÷ 10 = 3.
Using the repeated subtraction.
30 – 10 = 20.
20 – 10 = 10.
10 – 10 = 0.
Question 3.
24 ÷ 6 = ____
Answer:
24 divided by 6 equal to 4.
24 ÷ 6 = 4.
Using the repeated subtraction.
24 – 6 = 18.
18 – 6 = 12.
12 – 6 = 6.
6 – 6 = 0.
Question 4.
15 ÷ 1 = ___
Answer:
15 divided by 1 equal to 15.
15 ÷ 1 = 15.
Using the repeated subtraction.
15 – 1 = 14.
14 – 1 = 13.
13 – 1 = 12.
12 – 1 = 11.
11 – 1 = 10.
10 – 9 = 8.
8 – 1 = 7.
7 – 1 = 6.
6 – 1 = 5.
5 – 1 = 4.
4 – 1 = 3.
3 – 1 = 2.
2 – 1 = 1.
1 – 1 = 0
Question 5.
14 ÷ 7 = ___
Answer:
14 divided by 7 equal to 2.
14 ÷ 7 = 2.
Using the repeated subtraction.
14 – 7 = 7.
7 – 7 = 0.
Question 6.
18 ÷ 3 = ___
Answer:
18 divided by 3 equal to 6.
18 ÷ 3 = 6.
Using the repeated subtraction.
18 – 3 = 15.
15 – 3 =12.
12 – 3 = 9.
9 – 3 = 6.
6 – 3 = 3.
3 – 3 = 0.
Question 7.
10 ÷ 5 = ___
Answer:
10 divided by 5 equal to 2.
10 ÷ 5 = 2.
Using the repeated subtraction.
10 – 5 = 5.
5 – 5 = 0.
Question 8.
28 ÷ 4 = ___
Answer:
28 divided by 4 equal to 7.
28 ÷ 4 = 7.
Using the repeated subtraction.
28 – 4 = 24.
24 – 4 = 20.
20 – 4 = 26.
26 – 4 = 12.
12 – 4 = 8.
8 – 4 = 4.
4 – 4 = 0.
Question 9.
20 ÷ 4 = ___
Answer:
20 divided by 4 equal to 5.
20 ÷ 4 = 5.
Using the repeated subtraction.
20 – 4 = 16.
16 – 4 = 12.
12 – 4 = 8.
8 – 4 = 4.
4 – 4 = 0.
Problem Solving
Write a number sentence for each situation. Then solve.
Question 10.
Mathematical PRACTICE 4 Model Math A bag of 15 apples was shared among 5 boys equally. How many apples did each boy get?
Answer:
Given that,
A bag of 15 apples was shared among 5 boys equally.
So, 15 ÷ 5 = 3.
Therefore the each boy gets 3 apples.
Question 11.
Cindy made 40 muffins. She placed them on 4 trays with the same amount on each tray. How many muffins did she put on each tray?
Answer:
Given that,
Cindy made 40 muffins.
She placed them on 4 trays with the same amount on each tray.
So, 40 ÷ 4 = 10.
Therefore there are 4 muffins on each tray.
Question 12.
Shiloh put 24 eggs into 3 bowls with the same amount in each bowl. How many eggs did she put in each bowl?
Answer:
Given that,
Shiloh put 24 eggs into 3 bowls with the same amount in each bowl.
So, 24 ÷ 3 = 8.
Therefore the number of eggs she put in each bowl is 8.
Vocabulary Check
Question 13.
Explain how you would use repeated subtraction to find 8 ÷ 2.
Answer:
We know that 8 ÷ 2 = 4.
So, subtract 4 times of 2 from 8.
It is
8 – 2 = 6.
6 – 2 = 4.
4 – 2 = 2.
2 – 2 = 0.
Test Practice
Question 14.
Which number sentence is represented by the repeated subtraction at the right?
A. 9 ÷ 3 = 6
B. 6 ÷ 3 = 2
C. 9 ÷ 9 = 1
D. 9 ÷ 3 = 3
Answer:
The repeated subtraction for the given is
9 ÷ 3 = 3
Option D is the correct answer.