All the solutions provided in McGraw Hill Math Grade 3 Answer Key PDF Chapter 6 Lesson 5 Divide by 5 will give you a clear idea of the concepts.
McGraw-Hill My Math Grade 3 Answer Key Chapter 6 Lesson 5 Divide by 5
Use what you know about patterns and multiplying by 5 to divide by 5.
Math in My World
Example 1
A group of 5 friends sold a total of 20 glasses of lemonade. They each sold the same number of glasses.
How many glasses of lemonade did they each sell?
Find 20 ÷ 5.
One Way Use counters and partition.
Partition 20 counters into 5 equal groups. Draw the equal groups
There are ___ counters in each group.
20 ÷ 5 = ____
So, they each sold ___ glasses of lemonade.
Another Way Use repeated subtraction.
Subtract groups of 5 until you reach 0.
Count the number of groups you subtracted.
Groups of ___ were subtracted ___ times.
There are ___ groups. So, 20 ÷ 5 = ___.
Answer:
Given that,
A group of 5 friends sold a total of 20 glasses of lemonade.
One way is
Partition 20 counters into 5 equal groups.
There are 4 counters in each group.
20 ÷ 5 = 4
So, they each sold 4 glasses of lemonade.
The another way is
Count the number of groups you subtracted.
Groups of 20 were subtracted 4 times.
There are 5 groups.
So, 20 ÷ 5 = 4.
Think of division as an unknown factor problem. Use a related multiplication fact.
Helpful Hint
Nickels can be used to represent the number 5.
Example 2
The school store is selling pencils for 5⊄ each. If Corey has 45⊄, how many pencils can he buy with his money?
Find the unknown in 45⊄ ÷ 5⊄ = 
Draw an array. Then use the inverse operation to find the unknown.
The unknown is ___. Corey can buy ____ pencils.
Answer:
Given that,
The school store is selling pencils for 5⊄ each.
Corey has 45⊄,
The unknown is 9.
Therefore Corey can buy 9 pencils.
Talk Math
How can you tell if a number is divisible by 5?
Answer:
The condition is used to a test that the is divisible by 5 or not is if the final digit of the number is 0 or 5 then it is divisible by 5. It not it is not divisible by 5.
Guided Practice
Use counters to find the number of equal groups or how many are in each group.
Question 1.
35 counters 5 equal groups
____ in each group
35 ÷ 5 = ____
Answer:
Given that,
35 counters 5 equal groups.
35 ÷ 5 = 7.
35 divided 5 equal to 7.
There are 7 in each group.
Question 2.
10 counters 5 equal groups
____ in each group
10 ÷ 5 = ____
Answer:
Given that,
10 counters 5 equal groups
10 ÷ 5 = 2.
10 divided by 5 equal to 2.
There are 2 in each group.
Question 3.
Use repeated subtraction to find 30 ÷ 5.
30 ÷ 5 = ____
Answer:
30 ÷ 5 = 6
30 divided by 5 equal to 6.
Independent Practice
Use counters to find the number of equal groups or how many are in each group.
Question 4.
15 counters
5 equal groups
____ in each group
15 ÷ 5 = ____
Answer:
Given that,
15 counters
5 equal groups
15 ÷ 5 = 3
15 divided by 5 equal to 3.
There are 3 in each group.
Question 5.
10 counters
____ equal groups 5 in each group
10 ÷ ___ = 5
Answer:
Given that,
10 counters
5 in each group.
10 ÷ 5 = 2.
There are 2 equal groups.
Question 6.
25 counters
5 equal groups
____ in each group
25 ÷ 5 = ____
Answer:
Given that,
25 counters
5 equal groups
25 ÷ 5 = 5.
25 divided by 5 = 5.
There are 5 in each group.
Use repeated subtraction to divide.
Question 7.
10 ÷ 5 = ___
Answer:
10 ÷ 5 = 2.
The repeated subtraction is
10 – 5 = 5.
5 – 5 = 0.
Question 8.
5 ÷ 1 = ___
Answer:
5 ÷ 1 = 5.
The repeated subtraction is
5 – 5 = 0.
Algebra Draw an array and use the inverse operation to find each unknown.
Question 9.
× 5 = 20
? ÷ 4 = 5
= ____
? = ____
Answer:
4 x 5 = 20.
20 ÷ 4 = 5
The unknown is 4
? = 20.
The array is 4 rows of 20.
Question 10.
5 × = 40
40 ÷ ? = 5
= ____
? = ____
Answer:
5 x 8 = 40.
40 ÷ 8 = 5
The unknown is 8.
? = 8
The array is 8 row of 8.
Use the recipe for Buttermilk Corn Bread. Find how much of each ingredient is needed to make 1 loaf of corn bread.
Buttermilk Corn Bread
10 cups cornmeal
5 cups flour
1 cup sugar
5 Tbsp baking powder
4 tsp salt
Makes: 5 loaves
3 cups butter
8 cups buttermilk
5 tsp vanilla extract
15 eggs
2 tsp baking soda
Problem Solving
Mathematical PRACTICE 2 Use Algebra Write a division sentence with a symbol for the unknown. Then solve.
Question 15.
Rose had a 30-inch piece of ribbon. She divided the ribbon into 5 equal pieces. How many inches long is each piece?
Answer:
Given that,
Rose had a 30-inch piece of ribbon.
She divided the ribbon into 5 equal pieces.
The length of the each piece is 30 ÷ 5 = 6.
Therefore the length of the each piece is 6 inches.
Question 16.
Garrison collected 45 flags. He displays them in his room in 5 equal rows. How many flags does Garrison have in each row?
Answer:
Given that,
Garrison collected 45 flags.
He displays them in his room in 5 equal rows.
The number of flags in each row is 45 ÷ 5 = 9.
Therefore Garrison have 9 flags in each row.
HOT Problems
Question 17.
Mathematical PRACTICE 1 Keep Trying Addison got 40 points on yesterday’s 10-question math quiz. Each question is worth 5 points and there is no partial credit. How many questions did she miss?
Answer:
Given that,
The number of questions in quiz is 10.
Each question caries 5 marks.
The total marks is 10 x 5 = 50.
Addison got is 40.
Therefore 50 – 40 = 10.
So, Addison missed 2 questions in the quiz.
Question 18.
Mathematical PRACTICE 2 Stop and Reflect Circle the division sentence that does not belong. Explain your reasoning.
Answer:
20 ÷ 2 = 10 is different from all four division sentence.
In 30 ÷ 5 = 6 and 35 ÷ 5 = 7 the divisor is 5.
In 30 ÷ 6 = 5 quotient is 5.
In 20 ÷ 2 = 10 the divisor and quotient is not 5 so it is different from all three division sentences.
Question 19.
? Building on the Essential Question How can an array help you solve a related multiplication and division problem?
Answer:
The array is the way to represent the multiplication and division problems using rows and columns. Rows represents the number of groups and columns represents the number in each group.
McGraw Hill My Math Grade 3 Chapter 6 Lesson 5 My Homework Answer Key
Practice
Partition to find the number of equal groups or how many are in each group.
Question 1.
45 counters
5 equal groups
____ in each group
Answer:
Given that,
45 counters and 5 equal groups.
45 ÷ 5 = 9.
45 divided by 5 equal to 9.
There are 9 in each group.
Question 2.
5 counters
____ equal groups
1 in each group
Answer:
Given that is
5 counters and 1 in each group.
5 ÷ 1 = 5.
5 divided by 1 equal to 5.
There are 5 equal groups.
Question 3.
20 counters
5 equal groups
____ in each group
Answer:
Given that,
20 counters and 5 equal groups.
20 ÷ 5 = 4.
20 divided by 5 equal to 4.
There are 4 in equal group.
Question 4.
500 counters
____ equal groups
5 in each group
Answer:
Given that,
500 counters
5 in each group
500 ÷ 5 = 100.
500 divided by 5 equal to 100.
There are 100 equal groups.
Question 5.
Algebra Draw an array and use the inverse operation to find the unknown.
× 5 = 15
? ÷ 3 = 5
= ____
? = ____
Answer:
3 x 5 = 15.
15 ÷ 3 = 5.
The unknown is 3.
? = 15.
The array is 3 rows of 15.
Problem Solving
Write a division sentence with a symbol for the unknown for Exercises 6 and 7. Then solve.
Question 6.
Antonio scored 40 points on his math test. There were 5 questions on the test, and each was worth the same number of points. How many points did Antonio score for each question?
Answer:
Given that,
Antonio scored 40 points on his math test.
There are 5 questions in the test.
Each question worth is same points.
So. 40 ÷ 5 = 8.
Therefore each question carries 8 points.
Question 7.
Lunch costs $5. Marcus has $35. How many days can he buy lunch?
Answer:
Given that,
The cost of the Lunch is $5.
The Marcus has $35.
The total number of days that he can buy lunch is $35/$5 = 7.
Therefore he can buy the lunch for 7 days.
Question 8.
Mathematical PRACTICE 4 Model Math Today 25 girls and 20 boys rode their bikes to school. Each bike rack at school holds 5 bikes. How many bike racks were filled?
Answer:
Given that,
The 25 girls and 20 boys rode their bikes to school.
The total number of bikes are 25 + 20 = 45.
Each bike rack at school holds 5 bikes.
The number of racks filled are 45 ÷ 5 = 9.
Therefore there are 9 bike racks were filled.
Test Practice
Question 9.
Which number sentence represents this repeated subtraction exercise?
A. 20 ÷ 5 = 4
B. 20 ÷ 2 = 10
C. 20 – 20 = 0
D. 20 – 10 = 10
Answer:
From the given repeated subtraction.
The subtraction is repeated 4 times.
20 ÷ 5 = 4.
Option A is the correct answer.