All the solutions provided in McGraw Hill Math Grade 3 Answer Key PDF Chapter 6 Lesson 3 Divide by 2 will give you a clear idea of the concepts.
McGraw-Hill My Math Grade 3 Answer Key Chapter 6 Lesson 3 Divide by 2
Math in My World
Example 1
Javier and Alexis share an apple equally. If there are 8 slices, how many slices will each of them get?
To share equally between ___ people means to divide by 2. So, find 8 ÷ 2 or .← Read: eight divided by two
Partition one counter at a time into each group until the counters are gone.
Draw the equal groups at the right.
The model shows 8 ÷ 2 = . Each person will get ___ apple slices.
A related multiplication fact can help you find an unknown in a division sentence.
Answer:
To share equally between 2 people means to divide by 2.
So, find 8 ÷ 2
8 ÷ 2 = 4 or
Example 2
Max divided his collection of 12 feathers into 2 groups. How many feathers are in each group? Find the unknown
Find 12 ÷ 2 =
12 ÷ 2 = → 2 × = 12 ← A division sentence can be thought of as a multiplication sentence in which you are looking for an unknown factor.
You know that 2 × 6 = 12.
So, 12 ÷ 2 = . The unknown is
There are ___ feathers in each group.
Answer:
Given that,
Max divided his collection of 12 feathers into 2 groups.
So, 12 ÷ 2 = 6
or
Guided Practice
Divide. Write a related multiplication fact.
Question 1.
Answer:
Given that,
There are 4 balls.
The four balls are divided into 2 separate groups.
Question 2.
Answer:
Given that,
There are 10 stars
These 10 stars are divided into 2 groups.
Question 3.
Answer:
Given that,
There are 6 symbols.
These 6 symbols are divided into 2 groups.
Talk Math
What are two different ways to find 16 ÷ 2?
Answer:
The two different ways are 16 ÷ 2 = 8.
8 x 2 = 16.
Independent Practice
Divide. Write a related multiplication fact
Question 4.
14 ÷ 2 = ____
____ × ____ = ____
Answer:
Given that,
There are 14 balls.
These 14 balls are divided into 2 groups.
14 ÷ 2 = 7
7 x 2 = 14
Question 5.
Answer:
Given that,
There are 18 squares.
these 18 squares are divided into 2 groups.
Question 6.
4 ÷ 2 = ____
_______
Answer:
Divide 4 with 2 then you get 2.
4 ÷ 2 = 2
Question 7.
16 ÷ 2 = ____
_______
Answer:
Divide 16 with 2 then you get 8.
16 ÷ 2 = 8
Question 8.
18 ÷ 2 = ____
_______
Answer:
Divide 18 with 2 then you get 9.
18 ÷ 2 = 9
Question 9.
Answer:
Divide 2 with 2 then you get 1.
2 ÷ 2 = 1
Question 10.
Answer:
Divide 20 with 2 then you get 10.
20 ÷ 2 = 10
Question 11.
Answer:
Divide 6 with 2 then you get 3.
6 ÷ 2 = 3.
Match the division sentence to the related multiplication sentence.
Answer:
Algebra Find the unknown. Then write a related multiplication sentence.
Question 16.
12 ÷ 6 =
The unknown is ____.
Answer:
12 ÷ 6 = 2.
The unknown is 2.
Question 17.
14 ÷ = 2
The unknown is ____.
Answer:
14 ÷ 7 = 2
The unknown is 7.
Question 18.
÷ 2 = 3
The unknown is ____.
Answer:
6 ÷ 2 = 3.
The unknown is 6.
Problem Solving
Algebra Write a division sentence with a symbol for the unknown for Exercises 19-20. Then solve.
Question 19.
Damian will plant 12 seeds in groups of 2. How many groups of 2 will he have?
Answer:
Given that,
Damian will plant 12 seeds in groups of 2.
So, 12 ÷ 2 = 6.
Therefore there are 6 groups of 2 seeds are there.
Question 20.
Kyle and Alan equally divide a package of 14 erasers. How many erasers will each person get?
Answer:
Given that,
Kyle and Alan equally divide a package of 14 erasers.
So, 14 ÷ 2 = 7.
Therefore each person has 7 erasers.
Question 21.
Lydia shared her 16 bottle caps equally with Pilar. Pilar then shared her caps equally with Timothy. How many caps do Pilar and Timothy each have?
Answer:
Given that,
Lydia shared her 16 bottle caps equally with Pilar.
So, 16 ÷ 2 = 8
Known Lydia has 8 bottle caps and Pilar has 8 bottle caps.
Then Pilar then shared her caps equally with Timothy.
So, 8 ÷ 2 = 4.
Therefore there are 4 bottle caps with Pilar and Timothy.
Question 22.
Mathematical PRACTICE 6 Be Precise You have learned that when any number is multiplied by 2 the product is even. Is the same true for division of an even number divided by 2? Explain.
Answer:
Yes every number multiplies by 2 is an even number. But any number divided by 2 is not an even number. It may be even or odd.
Example 14 ÷ 2 = 7.
7 is an odd number.
HOT Problems
Question 23.
Mathematical PRACTICE 3 Find the Error Blake says that 8 ÷ 2 = 16 because 2 × 8 = 16. Is Blake correct? Explain.
Answer:
Blake says that 8 ÷ 2 = 16 because 2 × 8 = 16.
Yes it is correct because the division is the inverse of multiplication.
Question 24.
? Building on the Essential Question How does the relationship between division and multiplication help you find the unknown?
Answer:
The relationship between division and multiplication is the division is the inverse of multiplication.
In the multiplication we find the product of 2 factors and in division we find the missing factor when the 1 factor and product given.
McGraw Hill My Math Grade 3 Chapter 6 Lesson 3 My Homework Answer Key
Practice
Divide. Write a related multiplication fact.
Question 1.
8 ÷ 2 = ____
____ × ___ = ____
Answer:
Given that,
There are 8 shapes.
These 8 shapes are divided into 2 groups.
8 ÷ 2 = 4.
4 x 2 = 8
Question 2.
18 ÷ 2 = ____
____ × ___ = ____
Answer:
Given that,
There are 18 shapes.
These 18 shapes are divided into 2 groups.
18 ÷ 2 = 9.
9 x 2 = 18.
Divide. Write a related multiplication fact.
Question 3.
20 ÷ 2 = ___
Answer:
Divide 20 with 2 then you get 10.
20 ÷ 2 = 10.
Question 4.
6 ÷ 2 = ____
Answer:
Divide 6 with 2 then you get 3.
6 ÷ 2 = 3.
Question 5.
12 ÷ 2 = ___
Answer:
Divide 12 with 2 then you get 6.
12 ÷ 2 = 6.
Question 6.
Answer:
Divide 8 with 2 then you get 4.
8 ÷ 2 = 4.
Question 7.
Answer:
Divide 14 with 2 then you get 7.
14 ÷ 2 = 7.
Question 8.
Answer:
Divide 4 with 2 then you get 2.
4 ÷ 2 = 2.
Problem Solving
Question 9.
Algebra Britt spent $12 equally at 2 stores. How much did she spend at each store? Write a number sentence with a symbol for the unknown. Then solve.
Answer:
Given that,
Britt spent $12 equally at 2 stores.
So, number sentence is 12 ÷ 2 = 6.
The symbol for unknown is 6.
therefore Bent spent $6 in each store.
Question 10.
Mathematical PRACTICE 1 Keep Trying Ian picked up 16 red cars and 12 black cars from the floor of his room. He put the same number of each color car into 2 boxes. How many cars did he put in each box?
Answer:
Given that,
Ian picked up 16 red cars and 12 black cars from the floor of his room.
He put the same number of each color car into 2 boxes.
so, 16 ÷ 2 = 8.
12 ÷ 2 = 6.
Therefore Ian putted 8 red cars in 2 boxes and 6 black cars in 2 boxes.
Vocabulary Check
Question 11.
Write or draw a definition of the word partition.
Answer:
In general Partition means the divide.
In Math the partition means it a way of splitting numbers into smaller parts for easy solving.
Test Practice
Question 12.
Casey bought a box of 18 granola bars. She kept some and gave the rest to her brother. If Casey and her brother have the same number of granola bars, how many did Casey give her brother?
A. 1 granola bar
B. 8 granola bars
C. 9 granola bars
D. 7 granola bars
Answer:
Given that,
Casey bought a box of 18 granola bars.
She gave some granola bars to her brother.
Know Casey and her brother has same granola bars
So, 18 ÷ 2 = 9.
Therefore the Casey and her brother has 9 granola bars.
Option C is the correct answer.