## Math Expressions Common Core Grade 5 Unit 5 Lesson 2 Answer Key Explore Dividing by Two-digit Whole Numbers

**Math Expressions Grade 5 Unit 5 Lesson 2 Homework**

**Divide**

Question 1.

Answer: 2886 divided by 39 is 74.

Explanation:

Check : Dividend = Divisor × Quotient + Remainder

Here, Dividend = 2886 ,

Divisor = 39

Quotient = 74

Remainder = 0

Then, 2886 = ( 39 × 74 ) + 0

2886 = 2886.

So, 2886 divided by 39 is 74.

Question 2.

Answer: 7533 divided by 81 is 93.

Explanation:

Check : Dividend = Divisor × Quotient + Remainder

Here, Dividend = 7533 ,

Divisor = 81

Quotient = 93

Remainder = 0

Then, 7533 = ( 81 × 93 ) + 0

7533 = 7533.

So, 7533 divided by 81 is 93.

Question 3.

Answer: 7967 divided by 68 is 73.04.

Explanation:

Check : Dividend = Divisor × Quotient + Remainder

Here, Dividend = 7967 ,

Divisor = 68

Quotient = 73.04

Remainder = 28

Then, 7967 = ( 68 × 73.04 ) + 28

7967 = 7967.

So, 7967 divided by 68 is 73.04.

Question 4.

Answer: 4968 divided by 72 is 69.

Explanation:

Check : Dividend = Divisor × Quotient + Remainder

Here, Dividend = 4968 ,

Divisor = 72

Quotient = 69

Remainder = 0

Then, 4968 = ( 72 × 69 ) + 0

4968 = 4968.

So, 4968 divided by 72 is 69.

Question 5.

Answer: 2520 divided by 28 is 90.

Explanation:

Check : Dividend = Divisor × Quotient + Remainder

Here, Dividend = 2520 ,

Divisor = 28

Quotient = 90

Remainder = 0

Then, 2520 = ( 28 × 90 ) + 0

2520 =2520.

So, 2520 divided by 28 is 90.

Question 6.

Answer: 1287 divided by 33 is 39.

Explanation:

Check : Dividend = Divisor × Quotient + Remainder

Here, Dividend = 1287 ,

Divisor = 33

Quotient = 39

Remainder = 0

Then, 1287 = ( 28 × 90 ) + 0

1287 = 1287.

So, 1287 divided by 33 is 39.

Question 7.

Answer: 1426 divided by 46 is 31.

Explanation:

Check : Dividend = Divisor × Quotient + Remainder

Here, Dividend = 1426 ,

Divisor = 46

Quotient = 31

Remainder = 0

Then, 1426 = ( 46 ×31 ) + 0

1426 = 1426.

So, 1426 divided by 46 is 31.

Question 8.

Answer: 990 divided by 55 is 18.

Explanation:

Check : Dividend = Divisor × Quotient + Remainder

Here, Dividend = 990 ,

Divisor = 55

Quotient = 18

Remainder = 0

Then, 990 = ( 55 ×18 ) + 0

990 = 990.

So, 990 divided by 55 is 18.

**Solve.**

Question 9.

The lunchroom has enough seats for 168 students. Each class has 24 students. How many classes can eat in the lunchroom at the same time?

Answer: 7 classes can eat in the lunch room in the same time

Explanation:

Given, The lunchroom has enough seats for 168 students.

Each class has 24 students.

We have 168 divided by 24,

Then, \(\frac{168}{2}\) is 7

So, 7 classes can eat in the lunch room in the same time

Question 10.

Mrs. Randall bought tickets to the art museum for all the fifth-grade students. Each ticket cost $12, and the total cost of the tickets was $1,152. How many fifth-grade students are there?

Answer: There are 96 fifth-grade students

Explanation:

Given, Mrs. Randall bought tickets to the art museum for all the fifth-grade students.

Each ticket cost $12, and the total cost of the tickets was $1,152.

We have 1152 divided by 12,

Check : Dividend = Divisor × Quotient + Remainder

Here, Dividend = 1152 ,

Divisor = 12

Quotient =96

Remainder = 0

Then, 1152 = ( 12 ×96 ) + 0

1152 = 1152.

So, There are 96 fifth-grade students.

Question 11.

The Harmony Hotel has a total of 1,596 rooms. There are 42 rooms on each floor. How many floors does the Harmony Hotel have?

Answer: There are 38 floors in Harmony Hotel

Explanation:

Check : Dividend = Divisor × Quotient + Remainder

Here, Dividend = 1593 ,

Divisor = 42

Quotient =38

Remainder = 0

Then, 1593 = ( 42 ×38 ) + 0

1593 = 1593.

So, There are 38 floors in Harmony Hotel

Question 12.

This year Martin earned $1,615 mowing lawns, shoveling driveways, and doing yardwork. This is 19 times as much as he earned last year. How much did Martin earn last year?

Answer: Martin earned $85 last year.

Explanation:

Check : Dividend = Divisor × Quotient + Remainder

Here, Dividend = 1615 ,

Divisor = 19

Quotient =85

Remainder = 0

Then, 1615 = ( 19 × 85 ) + 0

1615 = 1615.

So, Martin earned $85 last year.

**Math Expressions Grade 5 Unit 5 Lesson 2 Remembering**

**Solve. Use any method.**

Question 1.

Answer: 1,428

Explanation:

So, 68 × 21 = 1428

Question 2.

Answer: 3,312

Explanation:

So, 36 × 92 = 3312

Question 3.

Answer: 1,100

Explanation:

So, 25 × 44 = 1100.

**Complete each division. Check your answer.**

Question 4.

Answer: 1267 divided by 5 is 253.4.

Explanation:

Check : Dividend = Divisor × Quotient + Remainder

Here, Dividend = 1267 ,

Divisor = 5

Quotient = 253.4

Remainder = 0

Then, 1267 = ( 5 ×253.4 ) + 0

1267 = 1267.

So, 1267 divided by 5 is 253.4.

Question 5.

Answer: 1374 divided by 3 is 458.

Explanation:

Check : Dividend = Divisor × Quotient + Remainder

Here, Dividend = 1374 ,

Divisor = 3

Quotient = 458

Remainder = 0

Then, 1374 = (3 × 458 ) + 0

1374 = 1374.

So, 1374 divided by 3 is 458.

Question 6.

Answer: 4618 divided by 7 is 659.7.

Explanation:

Check : Dividend = Divisor × Quotient + Remainder

Here, Dividend = 4618 ,

Divisor = 7

Quotient = 659.7

Remainder = 1

Then, 4618= (7 × 659.7 ) + 1

4618 = 4618.

So, 4618 divided by 7 is 659.7.

Question 7.

Chloe sorts her beads. The number of red beads she has is 5 times the number of green beads. If she has 60 green beads, how many red beads does she have?

Answer: she has 300 red beads.

Explanation:

Given, Chloe sorts her beads.

The number of red beads she has is 5 times the number of green beads.

If she has 60 green beads,

We have 60 × 5 = 300 ,

So, she has 300 red beads.

Question 8.

Brad plans to bike 15\(\frac{3}{4}\) miles. He has gone \(\frac{2}{3}\) of the entire distance. How far has he gone?

Answer: He has gone for 10 \(\frac{1}{2}\) miles

Explanation:

Given, Brad plans to bike 15\(\frac{3}{4}\) miles.

He has gone \(\frac{2}{3}\) of the entire distance.

We have,

\(\frac{2}{3}\)(15\(\frac{3}{4}\) )

= \(\frac{2}{3}\)(\(\frac{15 × 4 +3}{4}\))

= \(\frac{2}{3}\)(\(\frac{63}{4}\))

= \(\frac{2 × 63}{3 × 4}\)

= \(\frac{21}{2}\)

= 10 \(\frac{1}{2}\) miles

So, He has gone for 10 \(\frac{1}{2}\) miles

Question 9.

Stretch Your Thinking Write and solve a division problem that divides a 4-digit number by a 2-digit number. How did you estimate the first digit of the quotient?

Answer: 1466 divided by 2 is 733.

Explanation:

a division problem that divides a 4-digit number by a 2-digit number. is

1466 divided by 2

Check : Dividend = Divisor × Quotient + Remainder

Here, Dividend = 1466 ,

Divisor = 2

Quotient = 733

Remainder = 0

Then, 1466 = ( 2 × 733 ) + 0

1466 = 1466.

So, 1466 divided by 2 is 733.