All the solutions provided in McGraw Hill Math Grade 3 Answer Key PDF Chapter 7 Lesson 8 Divide with 0 and 1 will give you a clear idea of the concepts.
McGraw-Hill My Math Grade 3 Answer Key Chapter 7 Lesson 8 Divide with 0 and 1
Math in My World
Example 1
There are 3 friends and only 1 bean bag chair. How many friends will be on the bean bag chair?
So, 3 ÷ 1 = ____
There will be ___ friends on the bean bag chair.
Answer:
Given that,
There are 3 friends and only 1 bean bag chair.
So, 3 ÷ 1 = 3.
There will be 3 friends on the bean bag chair.
Helpful Hint
When a number is divided by 1, the quotient is that number.
Example 2
There are 3 friends and 3 bean bag chairs.
How many friends will be on each bean bag chair?
Find 3 ÷ 3
Use Xs to equally partition the friends on the chairs.
There will be ___ friend on each bean bag chair.
Answer:
There are 3 friends and 3 bean bag chairs.
The number of friends on each bean bag chair is 3 ÷ 3 = 1.
There will be 1 friend on each bean bag chair.
Helpful Hint
When a number is divided by itself, the quotient is 1.
Example 3
There are 0 friends and 3 bean bag chairs. How many friends will sit on each bean bag chair?
So, 0 ÷ 3 = ___. There will be ____ friends on each bean bag chair.
Answer:
Given that,
There are 0 friends and 3 bean bag chairs.
The number of friends will sit on each bean bag chair is
0 ÷3 = 0.
There will be 0 friends on each bean bag chair.
Helpful Hint
When zero is divided by a nonzero number, the quotient is zero.
Example 4
There are 3 friends and 0 bean bag chairs. How many friends will sit on each bean bag chair?
Find 3 ÷ 0.
So, the quotient of 3 ÷ ___ cannot be found.
Answer:
There are 3 friends and 0 bean bag chairs.
So, 3 ÷ 0 = undefine.
So, the quotient of 3 ÷ 0 cannot be found.
Helpful Hint
It is impossible to divide a number by zero.
Talk Math
How do you know you can divide any number by 1 or itself?
Answer:
By the division rules you can divide any number by 1 or itself.
Guided Practice
Draw models to find each quotient.
Question 1.
Answer:
6 divided by 1 equal to 6.
Question 2.
Answer:
4 divided by 4 equal to 1.
Independent Practice
Find each quotient. Draw lines to match each division sentence to its model.
Answer:
Write a division sentence as an example of each division rule.
Question 11.
When a number is divided by itself, the quotient is 1. _____
Answer:
The example for the given division rule is
6 ÷ 6 = 1.
Question 12.
When 0 is divided by a nonzero number, the quotient is 0. _____
Answer:
The example for the given division rule is
0 ÷ 6 = 0.
Question 13.
When a number is divided by 1, the quotient is that number. ______
Answer:
The example for the given division rule is
6 ÷ 1 = 6.
Problem Solving
Write a division sentence to solve.
Question 14.
There are 7 students and one table. If the same number of students must sit at each table, how many students will sit at each table?
Answer:
Given that,
There are 7 students and one table.
If the same number of students must sit at each table.
So, 7 ÷ 1 = 7.
The division sentence is 7 ÷ 1 = 7.
The number of students sit in each table is 7.
Question 15.
Mathematical PRACTICE 4 Model Math Mia and her 4 friends equally divide up 5 glasses of juice. How many glasses of juice will each friend get?
Answer:
Given that,
Mia and her 4 friends equally divide up 5 glasses of juice.
The number of people are 5.
So, the division sentence is 5 ÷ 5 = 1
Therefore each friend gets the 1 glass of juice.
Question 16.
There are no dogs to sleep in the dog beds. How many dogs will sleep in each dog bed?
Answer:
Given that,
There are no dogs to sleep in the dog beds
There are 4 dog beds.
The division sentence is 0 ÷ 4 = 0.
The number of dogs sleep in the dog beds are 0.
HOT Problems
Question 17.
Mathematical PRACTICE 1 Make Sense of Problems There are 35 students in Mr. Macy’s class. To play a game, each person needs 1 playing piece. How many playing pieces are needed for the class to play the game? Write a division sentence to solve.
Answer:
Given that,
There are 35 students in Mr. Macy’s class.
To play a game, each person needs 1 playing piece.
So, 35 ÷ 1 = 35.
Therefore are 35 playing pieces are needed for the class to play the game
Question 18.
? Building on the Essential Question How do division rules help me learn division facts more quickly?
Answer:
The basic division rules help to solve the division facts. They help to find the quotient of division facts.
McGraw Hill My Math Grade 3 Chapter 7 Lesson 8 My Homework Answer Key
Practice
Complete the division sentence for each model.
Question 1.
8 ÷ 1 = ____
Answer:
8 divided by 1 equal to 8.
The division sentence is 8 ÷ 1 = 8.
Question 2.
0 ÷ 2 = ____
Answer:
0 divided by 2 equal to 0.
The division sentence is 0 ÷ 2 = 0.
Question 3.
0 ÷ 4 = ____
Answer:
0 divided by 4 equal to 0.
The division sentence is 0 ÷ 4 = 0.
Question 4.
1 ÷ 1 = ____
Answer:
1 divided by 1 = 1.
1 ÷ 1 = 1.
Algebra Use a related multiplication fact to find the unknown.
Question 5.
9 ÷ 9 = 
9 × ____ = 9
The unknown is ____
Answer:
9 divided by 9 equal to 1.
9 ÷ 9 = 1.
Multiplication of 9 with 1 then you get 9.
The unknown is 1.
Question 6.
0 ÷ 6 =
6 × ____ = 0
The unknown is ____
Answer:
0 divided by 6 equal to 0.
0 ÷ 6 = 0.
Multiplication of 0 with 6 then you get 0.
6 x 0 = 0.
The unknown is 0.
Question 7.
0 ÷ 8 =
8 × ____ = 0
The unknown is ____
Answer:
0 divided by 8 equal to 0.
0 ÷ 8 = 0.
Multiplication of 8 with 0 then you get 0.
8 x 0 = 0.
The unknown is 0.
Question 8.
2 ÷ 2 =
6 × ____ = 0
The unknown is ____
Answer:
2 divided by 2 equal to 1.
2 ÷ 2 = 1.
Multiplication of 6 with 0 then you get 0.
6 x 0 = 0.
The unknown is 1.
Problem Solving
Write a division sentence to solve.
Question 9.
There are 15 children who want to share 15 apples. How many apples will each child get?
Answer:
Given that,
There are 15 children who want to share 15 apples.
So, 15 ÷ 15 = 1.
Therefore each child get 1 apple.
Question 10.
Mathematical PRACTICE 7 Identify Structure Mrs. Perkins needs 24 sheets of red paper so she can give one to each student in her class. She looked on the shelf, and there are no sheets of red paper left. How many sheets of red paper can Mrs. Perkins hand out?
Answer:
Given that,
Mrs. Perkins needs 24 sheets of red paper so she can give one to each student in her class.
There are no sheets of red paper left.
So, 0 ÷ 24 = 0.
Therefore each student get the 0 red paper sheets.
Question 11.
Lionel bought 3 model rockets. He shares them equally between himself and 2 friends. How many rockets does each boy have?
Answer:
Lionel bought 3 model rockets.
He shares them equally between himself and 2 friends.
The number of people are 3.
So, 3 ÷ 3 = 1.
Therefore the number of rockets does each boy have is 1.
Question 12.
Myra draws 5 animals for a class project. She puts each drawing in a separate folder. How many folders does Myra use?
Answer:
Given that,
Myra draws 5 animals for a class project.
She puts each drawing in a separate folder.
So, 5 ÷ 1 = 5.
Therefore the number of folders that Myra used is 5.
Test Practice
Question 13.
Angelina has 6 books. She has 1 backpack to carry her books. How many books does Angelina have in her backpack?
A. 7 books
B. 6 books
C. 1 book
D. 0 books
Answer:
Given that,
Angelina has 6 books.
She has 1 backpack to carry her books.
The number of books does Angelina have in her backpack is 6.
Option B is the correct answer.
Fluency Practice
Multiply.
Question 1.
4 × 9 = ____
Answer:
Multiplication of 4 with 9 then you get 36.
4 x 9 = 36.
Question 2.
5 × 3 = ___
Answer:
Multiplication of 5 with 3 then you get 15.
5 x 3 = 15.
Question 3.
4 × 6 = ___
Answer:
Multiplication of 4 with 6 then you get 24.
4 x 6 = 24.
Question 4.
3 × 6 = ___
Answer:
Multiplication of 3 with 6 then you get 18.
3 x 6 = 18.
Question 5.
3 × 2 = ___
Answer:
Multiplication of 3 with 2 then you get 6.
3 x 2 = 6.
Question 6.
4 × 4 = ___
Answer:
Multiplication of 4 with 4 then you get 16.
4 x 4 = 16.
Question 7.
2 × 2 = ___
Answer:
Multiplication of 2 with 2 then you get 4.
2 x 2 = 4.
Question 8.
0 × 7 = ___
Answer:
Multiplication of 0 with 7 then you get 0.
0 x 7 = 0.
Question 9.
4 × 5 = ___
Answer:
Multiplication of 4 with 5 then you get 20.
4 x 5 = 20.
Question 10.
2 × 5 = ___
Answer:
Multiplication of 2 with 5 then you get 10.
2 x 5 = 10.
Question 11.
3 × 7 = ___
Answer:
Multiplication of 3 with 7 then you get 21.
3 x 7 = 21.
Question 12.
1 × 2 = ___
Answer:
Multiplication of 1 with 2 then you get 2.
1 x 2 = 2.
Question 13.
Answer:
Multiplication of 1 with 3 then you get 3.
Question 14.
Answer:
Multiplication of 4 with 3 then you get 12.
Question 15.
Answer:
Multiplication of 3 with 8 then you get 24.
Question 16.
Answer:
Multiplication of 0 with 4 then you get 0.
Question 17.
Answer:
Multiplication of 4 with 7 then you get 28.
Question 18.
Answer:
Multiplication of 3 with 9 then you get 27.
Question 19.
Answer:
Multiplication of 4 with 8 then you get 32.
Question 20.
Answer:
Multiplication of 1 with 8 then you get 8.
Question 21.
Answer:
Multiplication of 4 with 2 then you get 8.
Question 22.
Answer:
Multiplication of 3 with 1 then you get 3.
Question 23
Answer:
Multiplication of 0 with 9 then you get 0.
Question 24.
Answer:
Multiplication of 1 with 5 then you get 5.
Fluency Practice
Divide.
Question 1.
27 ÷ 3 = ____
Answer:
27 divided by 3 equal to 9.
27 ÷ 3 = 9.
Question 2.
21 ÷ 3 = ____
Answer:
21 divided by 3 equal to 7.
21 ÷ 3 = 7.
Question 3.
20 ÷ 4 = ____
Answer:
20 divided by 4 equal to 5.
20 ÷ 4 = 5.
Question 4.
8 ÷ 4 = ____
Answer:
8 divided by 4 equal to 2.
8 ÷ 4 = 2.
Question 5.
16 ÷ 4 = ____
Answer:
16 divided by 4 equal to 4.
16 ÷ 4 = 4.
Question 6.
24 ÷ 3 = ____
Answer:
24 divided by 3 is equal to 8.
24 ÷ 3 = 8.
Question 7.
32 ÷ 4 = ____
Answer:
32 divided 4 is equal to 8.
32 ÷ 4 = 8.
Question 8.
9 ÷ 3 = ____
Answer:
9 divided by 3 equal to 3.
9 ÷ 3 = 3.
Question 9.
7 ÷ 1 = ____
Answer:
7 divided by 1 equal to 7.
7 ÷ 1 = 7.
Question 10.
0 ÷ 9 = ____
Answer:
0 divided by 9 is 0.
0 ÷ 9 = 0.
Question 11.
18 ÷ 3 = ____
Answer:
18 divided by 3 equal to 6
18 ÷ 3 = 6.
Question 12.
6 ÷ 1 = ____
Answer:
6 divided by 1 equal to 6.
6 ÷ 1 = 6
Question 13.
Answer:
12 divided by 3 equal to 4.
12 ÷ 3 = 4.
Question 14.
Answer:
28 divided by 4 equal to 7.
28 ÷ 4 = 7.
Question 15.
Answer:
0 divided by 2 equal to 0
0 ÷ 2 = 0
Question 16.
Answer:
15 divided by 3 is equal to 5.
15 ÷ 3 = 5
Question 17.
Answer:
2 divided by 2 equal to 1.
2 ÷ 2 = 1.
Question 18.
Answer:
6 divided by 3 equal to 2.
6 ÷ 3 = 2.
Question 19.
Answer:
9 divided by 1 equal to 9.
9 ÷ 1 = 9.
Question 20.
Answer:
24 divided by 6 equal to 4.
24 ÷ 4 = 6.
Question 21.
Answer:
4 divided by 1 equal to 4.
4 ÷ 1 = 4.
Question 22.
Answer:
30 divided by 3 equal to 10.
30 ÷ 3 = 10.
Question 23.
Answer:
36 divided by 4 equal to 9.
36 ÷ 4 = 9.
Question 24.
Answer:
0 divided by 8 is 0
8 ÷ 0 = 0