Students can use the Spectrum Math Grade 3 Answer Key Chapter 5 Lesson 5.4 Dividing through 81 ÷ 9 as a quick guide to resolve any of their doubts.
Spectrum Math Grade 3 Chapter 5 Lesson 5.4 Dividing through 81 ÷ 9 Answers Key
If 9 × 6 = 54, then 54 ÷ 9 = 6.
If 7 × 9 = 63, then 63 ÷ 7 = 9.
Divide. Under each division problem, write the corresponding multiplication problem.
Question 1.
a.
Answer: The quotient value is 1, and the multiplication value is 1 x 7 =7.
Explanation: Given the values 7√7,
Now, we will find the quotient value and write the multiplication.
So, the values are 7, 7
i.e., 7/7
The multiplication of 1 and 7 is,
i.e., 1 x 7
The product is 1 x 7 = 7.
Therefore the quotient is 1 and the multiplication is 7.
b.
Answer: The quotient value is 4, and the multiplication value is 6 x 4= 24.
Explanation: Given the values 6√24,
Now, we will find the quotient value and write the multiplication.
So, the values are 6, 24
i.e., 24/6
The multiplication of 6 and 4 is,
i.e., 6 x 4
The product value is 24.
Thus, the quotient is 4 and the multiplication is 4.
c.
Answer: The quotient value is 7, and the multiplication value is 8 x 7 =56.
Explanation: Given the values 8√56,
Now, we will find the quotient value and write the multiplication.
So, the values are 56, 8
i.e., 56/8
The multiplication of 8 and 7 is,
i.e., 8 x 7
The product value is 56.
Hence, the quotient is 7 and the multiplication is 8 x 7 = 56.
d.
Answer: The quotient value is 5, and the multiplication value is 6 x 5 =30.
Explanation: Given the values 6√30,
Now, we will find the quotient value and write the multiplication.
So, the values are 6, 30
i.e., 30/6
The quotient is 5.
The multiplication of 6 and 5 is,
i.e., 6 x 5
The product is 30.
Therefore, the quotient is 5 and the multiplication is 6 x 5 = 30.
e.
Answer: The quotient value is 8, and the multiplication value is 8 x 8 =64.
Explanation: Given the values 8√64,
Now, we will find the quotient value and write the multiplication.
So, the values are 64, 8
i.e., 64/8
The quotient is 8.
Now, the multiplication of 8 x 8.
i.e., 8 x 8
The product is 64.
Thus, the quotient is 8 and the multiplication is 8 x 8 =64.
Question 2.
a.
Answer: The quotient value is 2, and the multiplication value is 6 x 2 =12.
Explanation: Given the values 6√12,
Now, we will find the quotient value and write the multiplication.
So, the values are 12, 6
i.e., 12/6
The quotient value is 2.
The multiplication of 6 and 2.
i.e., 6 x 2
The product of 6 and 2 is 12.
Therefore, the quotient is 2 and the multiplication is 6 x 2 = 12.
b.
Answer: The quotient value is 5, and the multiplication value is 7 x 5 =35.
Explanation: Given the values 7√35,
Now, we will find the quotient value and write the multiplication.
So, the values are 35, 7
i.e., 35/7
The quotient value is 5.
The multiplication of 7 and 5.
i.e., 7 x 5
The product is 35.
Thus, the quotient is 5 and the multiplication is 7 x 5 = 35.
c.
Answer: The quotient value is 3, and the multiplication value is 8 x 3 =24.
Explanation: Given the values 8√24,
Now, we will find the quotient value and write the multiplication.
So, the values are 24, 8
i.e., 24/8
The quotient value is 3.
The multiplication of 8 and 3 is,
i.e., 8 x 3
The product value is 24.
Hence, the quotient is 3 and the multiplication is 8 x 3 = 24.
d.
Answer: The quotient value is 4, and the multiplication value is 7 x 4 =28.
Explanation: Given the values 7√28,
Now, we will find the quotient value and write the multiplication.
So, the values are 28, 7
i.e., 28/7
The quotient is 4.
The multiplication of 7 and 4 is,
i.e., 7 x 4
The product value is 28.
Thus, the quotient is 4 and the multiplication is 7 x 4 = 28.
e.
Answer: The quotient value is 6, and the multiplication value is 6 x 6 = 36.
Explanation: Given the values 6√36,
Now, we will find the quotient value and write the multiplication.
So, the values are 36, 6
i.e., 36/6
The quotient value is 6.
The multiplication of 6 and 6 is,
i.e., 6 x 6
The product value is 36.
Therefore, the quotient value is 6 and the multiplication is 6 x 6 = 36.
Divide.
Question 3.
a.
Answer: The quotient value is 7.
Explanation: Given the values 9√63,
Now, we will find the quotient value.
So, the values are 63, 9
i.e., 63/9
Hence, the quotient value is 7.
b.
Answer: The quotient value is 9.
Explanation: Given the values 9√81,
Now, we will find the quotient value.
So, the values are 81, 9
i.e., 81/9
Hence, the final quotient value is 9.
c.
Answer: The quotient value is 8.
Explanation: Given the values 7√56,
Now, we will find the quotient value.
So, the values are 56, 7
i.e., 56/7
Therefore, the quotient of the given values is 8.
d.
Answer: The quotient value is 7.
Explanation: Given the values 5√35,
Now, we will find the quotient value.
So, the values are 35, 5
i.e., 35/5
Hence, the quotient value is 7.
e.
Answer: The quotient value is 3.
Explanation: Given the values 8√24,
Now, we will find the quotient value.
So, the values are 24, 8
i.e., 24/8
Thus, the quotient value is 3.
Question 4.
a.
Answer: The quotient value is 2.
Explanation: Given the value is 9√18,
Now, we will find the quotient value.
So, the values are 18, 9
i.e., 18/9
Therefore, the quotient value is 2.
b.
Answer: The quotient value is 2.
Explanation: Given the values 7√14,
Now, we need to find the quotient value.
So, the values are 14, 7
i.e., 14/7
Hence, the quotient value is 2.
c.
Answer: The quotient value is 3.
Explanation: Given the values 7√21,
Now, we will find the quotient value.
So, the values are 21, 7
i.e., 21/7
Thus, the final quotient value is 3.
d.
Answer: The quotient value is 6.
Explanation: Given the values 8√48,
Now, we will find the quotient value.
So, the values are 48, 8
i.e., 48/8
Thus, the quotient value is 6.
e.
Answer: The quotient value is 5.
Explanation: Given the values 9√45,
Now, we will find the quotient value.
So, the values are 45, 9
i.e., 45/9
After division, the quotient value is 5.
Question 5.
a.
Answer: The quotient value is 9.
Explanation: Given the values 7√49,
Now, we will find the quotient value.
So, the values are 49, 7
i.e., 49/7
Hence, the quotient of the given values is 7.
b.
Answer: The quotient value is 2.
Explanation: Given the values 8√16,
Now, we will find the quotient value.
So, the values are 16, 8
i.e., 16/8
Thus, the quotient of 16 and 8 is 2.
c.
Answer: The quotient value is 3.
Explanation: Given the values 9√27,
Now, we need to find the quotient value.
So, the values are 27, 9
i.e., 27/9
d.
Answer: The quotient value is 1.
Explanation: Given the values 9√9,
Now, we will find the quotient value.
So, the values are 9, 9
i.e., 9/9
e.
Answer: The quotient value is 6.
Explanation: Given the values 7√42,
Now, we will find the quotient value and write the multiplication.
So, the values are 42, 7
i.e., 42/7
Hence, the quotient value is 6.
Question 6.
a.
Answer: The quotient value is 3.
Explanation: Given the values 9√27,
Now, we will find the quotient value.
So, the values are 9, 27
i.e., 27/9
After division, the quotient is 3.
b.
Answer: The quotient value is 6.
Explanation: Given the values 9√54,
Now, we have to find the quotient value.
So, the values are 54, 9
i.e., 54/9
Thus, after division, the quotient is 6.
c.
Answer: The quotient value is 1.
Explanation: Given the values 8√8,
Now, we will find the quotient value.
So, the values are 8, 8
i.e., 8/8
Hence, the quotient value is 1.
d.
Answer: The quotient value is 9.
Explanation: Given the value is 6√54,
Now, we will find the quotient value.
So, the values are 54, 6
i.e., 54/6
Therefore, after division, the quotient value is 9.
e.
Answer: The quotient value is 5.
Explanation: Given the value is 8√40,
Now, we need to find out the quotient value.
So, the values are 40, 8
i.e., 40/8
So, after division, the quotient value is 5.
Solve each problem. Show your work.
Question 1.
Spencer wants to save 72 dollars. How many weeks will it take Spencer to save 72 dollars if he saves 9 dollars each week?
Spencer wants to save __________ dollars.
He saves __________ dollars each week.
It will take Spencer ______________ weeks to save 72 dollars.
Answer: Spencer wants to save 72 dollars.
He saves 9 dollars each week.
It will take spencer 8 weeks to save 72 dollars.
Explanation: Given that,
Spencer wants to save 72 dollars.
Now, we will find out how many weeks Spencer will take to save 72 dollars if he saves 9 dollars each week.
So, the values are 72, 9
i.e., 72/9
Therefore, 8 weeks will it take Spencer to save 72 dollars, he saves 9 dollars each week.
Question 2.
Ms. Jefferson worked 40 hours this week. She worked 8 hours each day. How many days did she work this week?
Ms. Jefferson worked ___________ hours this week.
She worked __________ hours each day.
She worked ____________ days this week.
Answer: Ms. Jefferson worked 40 hours this week.
She worked 8 hours each day.
She worked 5 days this week.
Explanation: As given in the question, the data is
Ms. Jefferson worked 40 hours this week.
She worked 8 hours each day.
Now, we will find out how many days did she work this week.
So, the values are 40, 8
i.e., 40/8
Thus, she worked 5 days a week.
Question 3.
There are 16 football players on the field. If there are 8 players on each team, how many teams are on the field?
There are __________ football players on the field.
There are ___________ players on each team.
There are __________ teams on the field.
Answer: There are 16 football players on the field.
There are 8 players on each team.
There are 2 teams on the field.
Explanation: As given in the question,
There are 16 football players on the field.
If there are 8 players on each team.
Now, we will find out how many teams are on the field.
So, the values are 16, 8
i.e., 16/8
Therefore, there are 2 teams on the field.
Question 4.
Mrs. Daniels ordered 7 tables and 63 chairs for a banquet. Each table will have the same number of chairs. How many chairs will be at each table?
There will be ______________ chairs at each table.
Answer: There will be 9 chairs at each table.
Explanation: Given that,
Mrs. Daniels ordered 7 tables and 63 chairs for a banquet.
Each table will have the same number of chairs.
Now, we need to find out how many chairs will be at each table.
So, the values are 63, 7
i.e., 63/7
Thus, there will be 9 chairs at each table.