Students can use the Spectrum Math Grade 3 Answer Key Chapter 5 Lesson 5.2 Dividing through 27 ÷ 3 as a quick guide to resolve any of their doubts.
Spectrum Math Grade 3 Chapter 5 Lesson 5.2 Dividing through 27 ÷ 3 Answers Key
If 3 × 5 = 15, then 15 ÷ 3 = 5.
If 2 × 6 = 12, then 12 ÷ 2 = 6.
Divide. Under each division problem, write the corresponding multiplication problem.
Question 1.
a.
Answer: The quotient value is 2, and the multiplication value is 3 x 2 =6.
Explanation: Given the values 3√6,
Now, we will find the quotient value and write the multiplication.
So, the values are 6, 3
i.e., 6/3
The quotient is 6.
The multiplication of 3 and 2 is,
i.e., 3 x 2
The product of 3, 2 = 6.
Therefore the quotient is 2 and the multiplication is 3 x 2 = 6.
b.
Answer: The quotient value is 7, and the multiplication value is 2 x 7 = 14.
Explanation: Given the values 2√14,
Now, we will find the quotient value and write the multiplication.
So, the values are 14, 2
i.e., 14/2
The quotient is 7.
The multiplication of 2 and 7 is,
i.e., 2 x 7
The product of 2 x 7 = 14.
Therefore the quotient is 7 and the multiplication is 2 x 7 = 14.
c.
Answer: The quotient value is 5, and the multiplication value is 1 x 5 = 5.
Explanation: Given the values 1√5,
Now, we will find the quotient value and write the multiplication.
So, the values are 5, 1
i.e., 5/1
The quotient is 5.
The multiplication of 1 and 5 is,
i.e., 1 x 5
The product is 5.
Therefore the quotient is 5 and the multiplication is 1 x 5 =5.
d.
Answer: The quotient value is 2, and the multiplication value is 2 x 2 = 4.
Explanation: Given the values 2√4,
Now, we will find the quotient value and write the multiplication.
So, the values are 2, 4
i.e., 4/2
The multiplication of 2 and 2 is,
i.e., 2 x 2
The product is 4.
Therefore the quotient is 2 and the multiplication is 4.
e.
Answer: The quotient value is 4, and the multiplication value is 1 x 4 =4.
Explanation: Given the values 1√4,
Now, we will find the quotient value and write the multiplication.
So, the values are 4, 1
i.e., 4/1
The quotient value is 4.
The multiplication of 1 and 4 is,
i.e., 1 x 4
The product is 4.
Therefore the quotient is 4 and the multiplication is 1 x 4 = 4.
Question 2.
a.
Answer: The quotient value is 9, and the multiplication value is 3 x 9 = 27.
Explanation: Given the values 3√27,
Now, we will find the quotient value and write the multiplication.
So, the values are 27, 3
i.e., 27/3
The quotient value is 9.
The multiplication of 3 and 9 is,
i.e., 3 x 9
The product is 27.
Therefore the quotient is 9 and the multiplication is 3 x 9 = 27.
b.
Answer: The quotient value is 3, and the multiplication value is 1 x 3 = 3.
Explanation: Given the values 1√3,
Now, we will find the quotient value and write the multiplication.
So, the values are 1, 3
i.e., 3/1
The product is 3.
The multiplication of 1 and 3 is,
i.e., 1 x 3
The product is 3.
Therefore the quotient is 3 and the multiplication is 1 x 3 = 3.
c.
Answer: The quotient value is 9, and the multiplication value is 2 x 9 = 18.
Explanation: Given the values 2√18,
Now, we will find the quotient value and write the multiplication.
So, the values are 18, 3
i.e., 18/3
The quotient value is 6.
The multiplication of 3 and 6 is,
i.e., 3 x 6
The product value is 18.
Therefore the quotient is 9 and the multiplication is 3 x 6 = 18.
d.
Answer: The quotient value is 7, and the multiplication value is 1 x 7 = 7.
Explanation: Given the values 1√7,
Now, we will find the quotient value and write the multiplication.
So, the values are 7, 1
i.e., 7/1
The quotient is 7.
The multiplication of 1 and 7 is,
i.e., 1 x 7
The product is 7.
Therefore the quotient is 7 and the multiplication is 1 x 7 = 7.
e.
Answer: The quotient value is 7, and the multiplication value is 3 x 7 = 21.
Explanation: Given the values 3√21,
Now, we will find the quotient value and write the multiplication.
So, the values are 21, 3
i.e., 21/3
The quotient is 7.
The multiplication of 3 and 7 is,
i.e., 3 x 7
The product is 21.
Therefore the quotient is 9 and the multiplication is 27.
Question 3.
a.
Answer: The quotient value is 4, and the multiplication value is 3 x 4 = 12.
Explanation: Given the values 3√12,
Now, we will find the quotient value and write the multiplication.
So, the values are 12, 3
i.e., 12/3
The quotient is 4.
The multiplication of 3 and 4 is,
i.e., 3 x 4
The product is 12.
Therefore the quotient is 4 and the multiplication is 3 x 4 = 12.
b.
Answer: The quotient value is 8, and the multiplication value is 2 x 8 = 16.
Explanation: Given the values 2√16,
Now, we will find the quotient value and write the multiplication.
So, the values are 16, 2
i.e., 16/2
The quotient value is 8.
The multiplication of 2 and 8 is,
i.e., 2 x 8
The product value is 16.
Therefore the quotient is 8 and the multiplication is 16.
c.
Answer: The quotient value is 5, and the multiplication value is 1 x 5 = 5.
Explanation: Given the values 1√5,
Now, we have to find the quotient value and write the multiplication.
So, the values are 5, 1
i.e., 5/1
The quotient is 5.
The multiplication of 1 and 5 is,
i.e., 1 x 5
The product is 5.
Therefore the quotient is 5 and the multiplication is 1 x 5 = 5.
d.
Answer: The quotient value is 6, and the multiplication value is 3 x 6 = 18.
Explanation: Given the values 3√18,
Now, we will find the quotient value and write the multiplication.
So, the values are 18, 3
i.e., 18/3
The quotient is 6.
The multiplication of 3 and 6 is,
i.e., 3 x 6
The product is 18.
Therefore the quotient is 6 and the multiplication is 3 x 6 = 18.
e.
Answer: The quotient value is 5, and the multiplication value is 2 x 5 =10.
Explanation: Given the values 2√10,
Now, we will find the quotient value and write the multiplication.
So, the values are 10, 2
i.e., 10/2
The product is 5.
The multiplication of 2 and 5 is,
i.e., 2 x 5
The product is 10.
Therefore the quotient is 5 and the multiplication is 2 x 5 = 10.
Question 4.
a.
Answer: The quotient value is 6, and the multiplication value is 1 x 6 =6.
Explanation: Given the values 1√6,
Now, we will find the quotient value and write the multiplication.
So, the values are 6, 1
i.e., 6/1
After division, the quotient is 6.
The multiplication of 6 and 1 is,
i.e., 1 x 6
The product is 6.
Therefore the quotient is 6 and the multiplication is 1 x 6 = 6.
b.
Answer: The quotient value is 8, and the multiplication value is 1 x 8 = 8.
Explanation: Given the values 1√8,
Now, we will find the quotient value and write the multiplication.
So, the values are 8, 1
i.e., 8/1
The quotient is 8.
The multiplication of 1 and 8 is,
i.e., 1 x 8
The product is 8.
Therefore the quotient is 8 and the multiplication is 1 x 8 = 8.
c.
Answer: The quotient value is 4, and the multiplication value is 2 x 4 = 8.
Explanation: Given the values 2√8,
Now, we will find the quotient value and write the multiplication.
So, the values are 8, 2
i.e., 8/2
The quotient is 4.
Next, the multiplication of 2 and 4 is,
i.e., 2 x 4
Then the product is 8.
Therefore the quotient is 4 and the multiplication is 2 x 4 = 8.
d.
Answer: The quotient value is 2, and the multiplication value is 1 x 2 = 2.
Explanation: Given the values 1√2,
Now, we will find the quotient value and write the multiplication.
So, the values are 1, 2
i.e., 2/1
The quotient is 2.
The multiplication of 1 and 2 is,
i.e., 1 x 2
The product is 2.
Therefore the quotient is 2 and the multiplication is 1 x 2 = 2.
e.
Answer: The quotient value is 1, and the multiplication value is 1 x 1 =1.
Explanation: Given the values 1√1,
Now, we will find the quotient value and write the multiplication.
So, the values are 1, 1
i.e., 1/1
The quotient is 1.
The multiplication of 1 and 1 is,
i.e., 1 x 1
The product is 1.
Therefore the quotient is 1 and the multiplication is 1 x 1 =1.
Question 5.
a.
Answer: The quotient value is 8, and the multiplication value is 3 x 8 =24.
Explanation: Given the values 3√24,
Now, we will find the quotient value and write the multiplication.
So, the values are 24, 3
i.e., 24/3
The quotient is 8.
The multiplication of 3 and 8 is,
i.e., 3 x 8
The product is 24.
Therefore the quotient is 8 and the multiplication is 24.
b.
Answer: The quotient value is 3, and the multiplication value is 3 x 3 =9.
Explanation: Given the values 3√9,
Now, we will find the quotient value and write the multiplication.
So, the values are 9, 3
i.e., 9/3
The quotient is 3.
The multiplication of 3 and 3 is,
i.e., 3 x 3
The product is 9.
Therefore the quotient is 3 and the multiplication is 3 x 3 = 9.
c.
Answer: The quotient value is 9, and the multiplication value is 1 x 9 =9.
Explanation: Given the values 1√9,
Now, we will find the quotient value and write the multiplication.
So, the values are 9, 1
i.e., 9/1
The quotient is 9.
The multiplication of 1 and 9 is,
i.e., 1 x 9
The product is 9.
Therefore the quotient is 9 and the multiplication is 1 x 9 = 9.
d.
Answer: The quotient value is 3, and the multiplication value is 2 x 3 =6.
Explanation: Given the values 2√6,
Now, we will find the quotient value and write the multiplication.
So, the values are 2, 6
i.e., 6/2
The quotient is 3.
The multiplication of 2 and 3 is,
i.e., 2 x 3
The product is 6.
Therefore the quotient is 3 and the multiplication is 2 x 3 = 6.
e.
Answer: The quotient value is 1, and the multiplication value is 2 x 1 =2.
Explanation: Given the values 2√2,
Now, we will find the quotient value and write the multiplication.
So, the values are 2, 2
i.e., 2/2
The quotient is 1.
The multiplication of 2 and 1 is,
i.e., 2 x 1
The product is 2.
Therefore the quotient is 1 and the multiplication is 2 x 1 = 2.
Solve each problem. Show your work.
Question 1.
Joe’s fish store has 18 goldfish. The fish are in 3 aquariums. The same number of goldfish are in each aquarium. How many goldfish are in each aquarium?
There are ___________ goldfish.
There are ___________ aquariums.
There are ___________ goldfish in each aquarium.
Answer: There are 18 goldfish.
There are 3 Aquariums.
There are 6 goldfish in each aquarium.
Explanation: Given that,
Joe’s fish store has 18 goldfish.
The fish are in 3 aquariums.
The same number of goldfish are in each aquarium.
Now, we will find out how many goldfish are in each aquarium.
So, the values are 18, 3
i.e., 18/3
Hence, there are 6 goldfish in each aquarium.
Question 2.
Sally has 16 shoes in her closet. A pair of shoes is a group of 2 shoes. How many pairs of shoes does Sally have?
Sally has ___________ shoes.
A pair is a group of ___________ shoes.
Sally has ___________ pairs of shoes.
Answer: Sally has 16 shoes.
A pair is a group of 2 shoes.
Sally has 8 pairs of shoes.
Explanation: As given in the question,
Sally has 16 shoes in her closet.
A pair of shoes is a group of 2 shoes.
Now, we need to find out how many pairs of shoes Sally have.
So, the given values are 16, 2.
i.e., 16/2
Therefore, Sally has 8 pairs of shoes.
Question 3.
The egg carton has 12 eggs in it. There are 2 rows in the carton. How many eggs are in each row?
The egg carton has ___________ eggs.
There are ___________ rows in the carton.
There are ___________ eggs in each row.
Answer: The egg carton has 12 eggs.
There are 2 rows in the carton.
There are 6 eggs in each row.
Explanation: Given the data,
The egg carton has 12 eggs in it.
There are 2 rows in the carton.
Now, we will find out how many eggs are in each row.
So, the values are 12,2
i.e., 12/2
Thus, there are 6 eggs in each row.
Question 4.
Elisa has 15 sticks of gum. If she gives each of her 3 friends the same number of sticks of gum, how many sticks of gum will each of Elisa’s friends have?
Each of Elisa’s friends will have ___________ sticks of gum.
Answer: Each of Elisa’s friends will have 5 sticks of gum.
Explanation: As given in the question,
Elisa has 15 sticks of gum.
She gives each of her 3 friends the same number of sticks of gum.
Now, we will find out how many sticks of gum will each of Elisa’s friends.
So, the values are 15, 3
i.e., 15/3
Hence, Each of Elisa’s friends will have 5 sticks of gum.
Question 5.
Alvin earned 27 dollars for mowing 3 lawns on Saturday. Alvin earned the same amount of money for each lawn. How much did he earn for each lawn?
Alvin earned ___________ dollars for each lawn he mowed.
Answer: Alvin earned 9 dollars for each lawn he moved.
Explanation: Given the data,
Alvin earned 27 dollars for mowing 3 lawns on Saturday.
Alvin earned the same amount of money for each lawn.
Now, we will find out how much he earns for each lawn he moved.
So, the values are 27, 3
i.e., 27/3
Therefore, Alvin earns 9 dollars for each lawn he moved.