All the solutions provided in McGraw Hill Math Grade 3 Answer Key PDF Chapter 5 Lesson 2 Division as Equal Sharing will give you a clear idea of the concepts.
McGraw-Hill My Math Grade 3 Answer Key Chapter 5 Lesson 2 Division as Equal Sharing
Math in My World
Example 1
Nolan feeds 6 carrots equally to 3 rabbits. How many carrots does each rabbit get?
Draw one carrot at a time next to each rabbit until there are no more carrots.
Write a division sentence to represent the problem.
A division sentence is a number sentence that uses the operation of division.
____ carrots equally shared by ____ rabbits gives ____ carrots to each rabbit.
6 ÷ 3 = ____ There are ___ carrots for each rabbit.
You can think of division sentences in two ways.
Answer:
6 ÷ 3 = 2
6 carrots were shared equally by 3 rabbits. There are 2 carrots for each rabbit.
Explanation:
The division sentence is 6 ÷ 3 = 2
A division sentence is a number sentence that uses the operation of division.
6 carrots are equally shared by 3 rabbits giving 2 carrots to each rabbit.
6 ÷ 3 = 2.
There are 2 carrots for each rabbit.
Example 2
Fifteen scouts equally shared 3 tents. How many scouts are in each tent? Place one counter (scout) at a time next to each tent until all the counters are gone. Draw a sketch of your counters.
Helpful Hint
When you divide, you share an equal number all of the groups.
____ scouts ÷ ____ tents = ____ scouts in each tent
There will be ____ scouts in each tent.
Answer:
15 scouts ÷ 3 = 5 scouts in each tent.
There will be 5 scouts in each tent.
Explanation:
Talk Math
Explain what it means to share equally when dividing.
Answer:
By dividing the group of objects into equal parts then we will get equal shares. We need to divide it into equal parts and share them equally.
Explanation:
There are 10 chocolates that should be shared among 5 students. So how many chocolates will each student get?
10 ÷ 2 = 5
So each student gets 5 chocolates.
Guided Practice
Use counters to find how many are in each group.
Question 1.
10 counters
2 equal groups
____ in each group
10 ÷ 2 = ____
Answer:
5 in each group.
Explanation:
Given,
No of counters = 10
No of equal groups = 2
10 ÷ 2 = 5
There are 5 counters in each group.
Question 2.
14 counters
7 equal groups
____ in each group
14 ÷ 7 = ____
Answer:
2 in each group.
Explanation:
Given,
No of counters = 14
No of equal groups = 7
14 ÷ 7 = 2
There are 2 counters in each group.
Question 3.
20 counters 5 equal groups
____ in each group
20 ÷ 5 = ____
Answer:|
4 in each group.
Explanation:
No of counters = 20
No of equal groups = 5
20 ÷ 5 = 4
There are 4 counters in each groups.
Independent Practice
Use counters to find how many are in each group.
Question 4.
12 counters
2 equal groups
____ in each group
____ ÷ ____ = ____
Answer:
6 in each group.
The division sentence is 12 ÷ 2 = 6
Explanation:
Given,
No of counters = 12
No of equal groups = 2
12 ÷ 2 = 6
There are 6 counters in each group.
Question 5.
16 counters
4 equal groups
____ in each group
____ ÷ ____ = ____
Answer:
4 in each group.
Explanation:
No of counters = 16
No of equal groups = 4
16 ÷ 4 = 4
There are 4 counters in each group.
Question 6.
18 counters
6 equal groups
____ in each group
____ ÷ ____ = ____
Answer:
3 in each group.
Explanation:
Given,
No of counters = 18
No of equal groups = 6
18 ÷ 6 = 3
There are 3 counters in each group.
Use counters to find the number of equal groups.
Question 7.
8 counters
____ equal groups
4 in each group
8 ÷ ____ = 4
Answer:
2 in each group.
Explanation:
Given,
No of counters = 8
No of equal groups = 2
8 ÷ 2 = 4
There are 4 counters in each group.
Question 8.
21 counters
____ equal groups
7 in each group
21 ÷ ____ = 7
Answer:
3 equal groups.
Explanation:
Given,
No of counters = 21
No of equal groups = 3
21 ÷ 3 = 7
Question 9.
18 counters
____ equal groups
9 in each group
18 ÷ ____ = ____
Answer:
18 ÷ 2 = 9
Explanation:
No of counters = 18
No of equal groups = 9
18 ÷ 2 = 9
Hence there are 2 equal groups.
Use counters to draw an array. Write a division sentence.
Question 10.
Draw 9 counters in 3 equal rows. There are ____ in each row.
____ ÷ ____ = ____
Answer:
9 ÷ 3 = 3 in each row.
Explanation:
Given,
There are 9 counters
There are 3 equal rows.
9 ÷ 3 = 3 in each row.
There are 3 counters in each row.
Question 11.
Draw 14 counters in 2 equal rows.
There are ____ in each row.
___ ÷ ____ = ____
Answer:
14 ÷ 2 = 7 in each row.
Explanation:
Given,
No of counters = 14
No of groups = 2
14 ÷ 2 = 7 in each row.
There are 7 in each row.
Algebra Draw lines to match each division sentence with its correct unknown.
Question 12.
Answer:
8, 5, 7
Explanation:
Problem Solving
Draw a picture to solve. Then write a division sentence.
Question 15.
Marla has $25. How many hamster wheels can she buy?
Answer:
$25 ÷ $5 = 5 wheels.
Explanation:
Given,
Marla has $25.
Hamster wheel = $5
$25 ÷ $5 = 5 wheels.
Therefore she can buy 5 wheels.
Question 16.
A seamstress needs 18 feet of fabric. How many yards of fabric does she need? (Hint: 1 yard = 3 feet)
Answer:
18 ÷ 3 =6 yards.
Explanation:
Given,
No of feet of fabric = 18
1 yard = 3 feet
18 ÷ 3 =6 yards.
She needs 6 yards of fabric.
Question 17.
Mathematical PRACTICE 1 Plan Your Solution There are 6 juice boxes in a package. How many packages need to be bought if 24 juice boxes are needed for a picnic? Write a division sentence with a symbol for the unknown. Then solve.
Answer:
24 ÷ 6 = 4 juices boxes.
Explanation:
Given,
No of juice boxes in a package = 6
he bought 24 juice boxes for a picnic.
The division sentence is 24 ÷ 6 = x juice boxes.
Now solve the sentence
24 ÷ 6 = x
x = 4 juices boxes.
HOT Problems
Question 18.
Mathematical PRACTICE 4 Model Math Write a real-world problem that uses the division sentence 12 ÷ 6 = 
. Then find the unknown.
Answer:
The unknown number is 2.
Explanation:
The real-world problem is 24 ÷ 12 = 2
Now let us solve the given sentence
12 ÷ 6 = x
6 × 2 = 15
12 ÷ 6 = x
x = 2
Question 19.
? Building on the Essential Question How is dividing like sharing?
Answer:
We can divide by sharing the objects into equal groups. So if we consider calculating the 15 ÷ 5 = 3.
Therefore we can write the answer by sharing 15 objects into 3 groups.
McGraw Hill My Math Grade 3 Chapter 5 Lesson 2 My Homework Answer Key
Practice
Use counters to find how many are in each group.
Question 1.
21 counters
7 equal groups
____ in each group
21 ÷ 7 = ____
Answer:
3 in each group.
Explanation:
Given,
No of counters = 21
No of equal groups = 7
21 ÷ 7 = 3
Hence there are 3 counters in each group.
Question 2.
16 counters
2 equal groups
____ in each group
16 ÷ 2 = ____
Answer:
8 in each group
Explanation:
Given,
No of counters = 16
No of equal groups = 2
16 ÷ 2 = 8
There are 8 number of counters in each group.
Question 3.
18 counters
3 equal groups
____ in each group
18 ÷ 3 = ____
Answer:
6 in each group.
Explanation:
Given,
No of counters = 18
No of groups = 3
18 ÷ 3 = 6
hence there are 6 counters in each group.
Question 4.
30 counters
6 equal groups
____ in each group
30 ÷ 6 = ____
Answer:
5 in each group.
Explanation:
Given,
No of counters = 30
No of equal groups = 6
30 ÷ 6 = 5
There are 5 counters in each group.
Use counters to find the number of equal groups.
Question 5.
24 counters
____ equal groups
3 in each group
24 ÷ ___ = 3
Answer:
8
Explanation:
Given,
No of counters = 24
These counters are divided into 8 equal groups.
There are 3 counters in each group.
24 ÷ 8 = 3
Question 6.
24 counters
____ equal groups
6 in each group
24 ÷ ___ = 6
Answer:
4
Explanation:
Given,
No of counters = 24
These counters are divided into 6 each groups.
24 ÷ 4 = 6
There are 6 counters in each group.
Problem Solving
Draw a picture to solve. Then write a division sentence.
Question 7.
Four friends want to share 8 apples equally. How many apples will each person get?
Answer:
2 apples will each person get.
Explanation:
No of friends = 4
No of apples shared equally = 8
8 ÷ 4 = 2
Therefore there are 2 apples each person gets.
Question 8.
Mathematical PRACTICE 4 Model Math Sarah has 32 crackers. She eats 2 and throws away 2 that she dropped. Sarah puts the rest of the crackers into 4 equal groups. How many crackers are in each group?
Answer:
There are 7 crackers in each group.
Explanation:
Given,
Sarah has 32 crackers.
Sarah ate 2 and threw away 2. A total of 4
32 – 4 = 28
The rest of the crackers are divided into 4 equal groups
28 ÷ 4 = 7
Therefore there are 7 crackers in each group.
Vocabulary Check
Draw an example or write a definition beneath each vocabulary word.
Question 9.
array
Answer:
An arrangement of numbers, objects, and pictures in rows and columns is called an array.
Explanation:
Question 10.
divide
Answer:
The divide is used to perform the division operation.
Explanation:
Example for the divide
18 ÷ 6 = 3
Question 11.
division sentence
Answer:
A division sentence is a number sentence that is used for the operation of division.
Explanation:
Let us take an example
assume 12 counters with 3 equal groups
12 ÷ 3 = 4 in each group is called a division sentence.
Test Practice
Question 12.
There are 25 students in Mr. Copa’s class. He divides the students into equal groups of 5. How many students are in each group?
A. 5 students
B. 10 students
C. 15 students
D. 20 students
Answer:
5 students
Explanation:
Given,
No of students = 25
The students are divided into equal groups = 5
25 ÷ 5 = 5 students
There are 5 students in each group.