Students can use the **Spectrum Math Grade 3 Answer Key Chapter 5 Lesson 5.3 Dividing through 54 ÷ 6 **as a quick guide to resolve any of their doubts.

## Spectrum Math Grade 3 Chapter 5 Lesson 5.3 Dividing through 54 ÷ 6 Answers Key

If 4 × 5 = 20, then 20 ÷ 4 = 5.

If 6 × 8 = 5, then 48 ÷ 6 = 8.

**Divide. Under each division problem, write the corresponding multiplication problem.**

Question 1.

a.

Answer: The quotient value is 9, and the multiplication value is 6 x 9 =48.

Explanation: Given the values 6√54,

Now, we will find the quotient value and write the multiplication.

So, the values are 54, 6

i.e., 54/6

The quotient value is 9.

The multiplication of 6 and 9 is,

i.e., 6 x 9

The product is 6 x 9= 54.

Therefore the quotient is 9 and the multiplication is 6 x 9 =54.

b.

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 3 x 9 = 27.

Therefore the quotient is 9 and the multiplication is 27.

c.

Answer: The quotient value is 8, and the multiplication value is 6 x 8 =48.

Explanation: Given the values 6√48,

Now, we will find the quotient value and write the multiplication.

So, the values are 48, 6

i.e., 48/6

The quotient value is 8.

The multiplication of 6 and 8 is,

i.e., 6 x 8

The product is 6 x 8 = 48.

Therefore the quotient is 8 and the multiplication is 6 x 8 = 48.

d.

Answer: The quotient value is 5, and the multiplication value is 5 x 5=25.

Explanation: Given the values 5√25,

Now, we will find the quotient value and write the multiplication.

So, the values are 25, 5

i.e., 25/5

The quotient value is 5.

The multiplication of 5 and 5 is,

i.e., 5 x 5

The product is 5 x 5 = 25.

Therefore the quotient is 5 and the multiplication is 5 x 5 = 25.

e.

Answer: The quotient value is 9, and the multiplication value is 4 x 9 = 36.

Explanation: Given the values 4√36,

Now, we will find the quotient value and write the multiplication.

So, the values are 36, 4

i.e., 36/4

The quotient value is 9.

The multiplication of 4 and 9 is,

i.e., 4 x 9

The product is 4 x 9 = 36.

Therefore the quotient is 9 and the multiplication is 4 x 9 = 36.

Question 2.

a.

Answer: The quotient value is 6, and the multiplication value is 5 x 6 =30.

Explanation: Given the value is 5√30,

Now, we will find the quotient value and write the multiplication.

So, the values are 30, 5

i.e., 30/5

The quotient is 6.

The multiplication of 5 and 6 is,

i.e., 5 x 6

The product is 5 x 6 = 30.

Therefore the quotient is 6 and the multiplication is 5 x 6 = 30.

b.

Answer: The quotient value is 6, and the multiplication value is 4 x 6 =24.

Explanation: Given the values 4√24,

Now, we will find the quotient value and write the multiplication.

So, the values are 24, 4

i.e., 24/4

The quotient value is 6.

The multiplication of 4 and 6 is,

i.e., 4 x 6

The product is 4 x 6 = 24.

Therefore the quotient is 6 and the multiplication is 4 x 6 = 24.

c.

Answer: The quotient value is 8, and the multiplication value is 4 x 8 =32.

Explanation: Given the values 4√32,

Now, we will find the quotient value and write the multiplication.

So, the values are 32, 4

i.e., 32/4

Then the quotient is 8.

Next, the multiplication of 4 and 8 is,

i.e., 4 x 8

The product is 4 x 8 = 32.

Therefore the quotient is 8 and the multiplication is 4 x 8 = 32.

d.

Answer: The quotient value is 4, and the multiplication value is 4 x 4 =16.

Explanation: Given the values 4√16,

Now, we will find the quotient value and write the multiplication.

So, the values are 16, 4

i.e., 16/4

The quotient value is 4.

The multiplication of 4 and 4 is,

i.e., 4 x 4

The product is 4 x 4 = 16.

Therefore the quotient is 4 and the multiplication is 4 x 4 = 16.

e.

Answer: The quotient value is 5, and the multiplication value is 4 x 5 =20.

Explanation: Given the values 4√20,

Now, we will find the quotient value and write the multiplication.

So, the values are 20, 4

i.e., 20/4

The quotient is 5.

The multiplication of 4 and 5 is,

i.e., 4 x 5

The product is 4 x 5 = 20.

Therefore the quotient is 5 and the multiplication is 4 x 5 = 20.

**Divide.**

Question 3.

a.

Answer: The quotient value is 6.

Explanation: Given the value is 6√36,

Now, we will find the quotient value.

So, the values are 36, 6

i.e., 36/6

Hence, the quotient value is 6.

b.

Answer: The quotient value is 7.

Explanation: Given the value is 4√28,

Now, we will find the quotient value.

So, the values are 28, 4

i.e., 28/4

Hence, the quotient value is 7.

c.

Answer: The quotient value is 7.

Explanation: Given the value is 5√35,

Now, we will find the quotient value.

So, the values are 35, 5

i.e., 35/5

Thus, the quotient value is 7.

d.

Answer: The quotient value is 6.

Explanation: Given the value is 6√24,

Now, we will find the quotient value.

So, the values are 24, 6

i.e., 24/6

After division, the quotient is 4.

e.

Answer: The quotient value is 7.

Explanation: Given the value is 3√21,

Now, we will find the quotient value.

So, the values are 21, 3

i.e., 21/3

Hence, the quotient value is 7.

Question 4.

a.

Answer: The quotient value is 9.

Explanation: Given the value is 5√45,

Now, we need to find the quotient value.

So, the values are 45, 5

i.e., 45/5

Hence, the quotient value is 9.

b.

Answer: The quotient value is 2.

Explanation: Given the value is 6√12,

Now, we will find the quotient value.

So, the values are 12, 6

i.e., 12/6

Hence, after division, the quotient value is 2.

c.

Answer: The quotient value is 8.

Explanation: Given the value is 5√40,

Now, we will find the quotient value.

So, the values are 40, 5

i.e., 40/5

Therefore, the given values are 8.

d.

Answer: The quotient value is 8.

Explanation: Given the value is 3√24,

Now, we will find the quotient value.

So, the values are 24, 3

i.e., 24/3

Thus, the quotient value is 8.

e.

Answer: The quotient value is 3.

Explanation: Given the value is 6√18,

Now, we need to find the quotient value.

So, the values are 18, 6

i.e., 18/6

After division, the quotient value is 3.

Question 5.

a.

Answer: The quotient value is 4.

Explanation: Given the value is 3√12,

Now, we will find the quotient value.

So, the values are 12, 3

i.e., 12/3

Hence, the quotient value is 4.

b.

Answer: The quotient value is 8.

Explanation: Given the value is 2√16,

Now, we will find the quotient value.

So, the values are 16, 2

i.e., 16/2

Hence, the quotient value is 8.

c.

Answer: The quotient value is 3.

Explanation: Given the value is 4√12,

Now, we will find the quotient value.

So, the values are 12, 4

i.e., 12/4

Therefore, the quotient value is 3.

d.

Answer: The quotient value is 9.

Explanation: Given the value is 2√18,

Now, we will find the quotient value.

So, the values are 18, 2

i.e., 18/2

Thus, the quotient value is 9.

e.

Answer: The quotient value is 3.

Explanation: Given the value is 3√9,

Now, we have to find the quotient value.

So, the values are 9, 3

i.e., 9/3

Therefore, the given values quotient value is 3.

Question 6.

a.

Answer: The quotient value is 3.

Explanation: Given the value is 5√15,

Now, we will find the quotient value.

So, the values are 15, 5

i.e., 15/5

After division, the quotient value is 3.

b.

Answer: The quotient value is 7.

Explanation: Given the value is 6√42,

Now, we will find the quotient value.

So, the values are 42, 6

i.e., 42/6

Hence, the quotient value is 7.

c.

Answer: The quotient value is 6.

Explanation: Given the value is 3√18,

Now, we will find the quotient value.

So, the values are 18, 3

i.e., 18/3

After division, we get the quotient value is 6.

d.

Answer: The quotient value is 1.

Explanation: Given the value is 6√6,

Now, we will find the quotient value.

So, the values are 6, 6

i.e., 6/6

Thus, the quotient value is 1.

e.

Answer: The quotient value is 3.

Explanation: Given the value is 9√27,

Now, we will find the quotient value.

So, the values are 27, 9

i.e., 27/9

Hence, the quotient value is 3.

**Solve each problem. Show your work.**

Question 1.

There are 24 hours a day. If the day is divided into 6 equal time segments, how many hours will be in each time segment?

There are __________ hours.

There are __________ time segments.

There are __________ hours in each time segment.

Answer: There are 24 hours.

There are 6 time segments.

There are 4 hours in each time segment.

Explanation: Given the data,

There are 24 hours a day.

The day is divided into 6 equal time segments.

Now, we will find out how many hours will be in each time segment.

So, the values are 24, 6

i.e., 24/6

Hence, 4 hours in each time segment.

Question 2.

There are 30 desks in the classroom. There are 6 desks in each row. How many rows of desks are there?

There are __________ desks.

There are __________ desks in each row.

There are __________ rows of desks.

Answer: There are 30 desks in the classroom.

There are 6 desks in each row.

There are 5 rows of desks.

Explanation: Given the data,

There are 30 desks in the classroom.

There are 6 desks in each row.

Now, find out how many rows of desks are there.

So, the values are 30,6.

i.e., 30/6

Therefore, 5 rows of desks in a classroom.

Question 3.

Mr. Villa handed out 42 papers to 6 students. Each student received the some number of papers. How many papers did each student receive?

Mr. Villa handed out _____________ papers.

There are ___________ students.

Each student received ____________ papers.

Answer: Mr.Villa handed out 42 papers.

There are 6 students.

Each student received 7 papers.

Explanation: As given in the data,

Mr. Villa handed out 42 papers to 6 students.

Each student received the same number of papers.

Now, we will find out how many papers did each student receive.

So, the values are 42, 6.

i.e., 42/6

Hence, 7 papers each student received.

Question 4.

There are 12 months in a year. There are 3 seasons in a year. If each season has an equal number of months, how many months are in each season?

There are __________ months ¡n each season.

Answer: There are 4 months in each season.

Explanation: Given that,

There are 12 months in a year.

There are 3 seasons in a year.

Each season has an equal number of months.

Now, we will find how many months are in each season.

So, the values are 12, 3

i.e., 12/3

Hence, there are 4 months in each season.

Question 5.

Bianca has 48 roses. She has 6 vases. Bianca wants to put an equal number of roses in each vase. How many roses will Bianca put in each vase?

Bianca will put _____________ roses in each vase.

Answer: Bianca will put 8 roses in each vase.

Explanation: Given in the question,

Bianca has 48 roses.

She has 6 vases.

Bianca wants to put an equal number of roses in each vase.

Now, we will find out how many roses will Bianca put in each vase.

Then the values are 48,6

i.e., 48/6

Thus, Bianca will put 8 roses in each vase.