All the solutions provided in **McGraw Hill Math Grade 4 Answer Key PDF Chapter 6 Lesson 1 Divide Multiples of 10, 100, and 1,000** will give you a clear idea of the concepts.

## McGraw-Hill My Math Grade 4 Answer Key Chapter 6 Lesson 1 Divide Multiples of 10, 100, and 1,000

You use place value and patterns to divide dividends that are multiples of 10, 100, and 1,000.

**Math in My World**

Example 1

Anita’s family went on vacation to an amusement park. The park has 5 entrances. 1,500 people entered the park and separated into equal lines. How many people are in each line?

Divide 1,500 people into 5 equal groups.

**One Way** Use a multiplication pattern.

5 × 3 = 15 → 15 ÷ 5 = 3

5 × 30 = 150 → 150 ÷ 5 = 30

5 × 300 = 1,500 → 1,500 ÷ 5 = ____

Answer:

There are 300 people in each line.

**Another Way** Use a basic fact and place value.

15 ÷ 5 = 3 ← basic fact

150 ÷ 5 = 30 ← 150 is 10 times as big as 15. So, the quotient 30, is 10 times as big as 3.

1,500 ÷ 5 = ____ ← 1,500 is 100 times as big as 15. So, the quotient is 100 times as big as 3.

So, there are ____ people in each line.

Answer:

There are 300 people in each line.

Explanation:

15 ÷ 5 = 3 ← basic fact

150 ÷ 5 = 30 ← 150 is 10 times as big as 15. So, the quotient 30, is 10 times as big as 3.

1,500 ÷ 5 = 300 ← 1,500 is 100 times as big as 15. So, the quotient is 100 times as big as 3.

So, there are 300 people in each line.

Example 2

Find the quotient of 2,400 and 4.

Find 2,400 ÷ 4.

**One Way** Use a multiplication pattern.

4 × 6 = 24 → 24 ÷ 4 = 6

4 × 60 = 240 → 240 ÷ 4 = 60

4 × 600 = 2,400 → 2,400 ÷ 4 = _____

Answer:

600

**Another Way** Use a basic fact and place value.

24 ÷ 4 = 6 ← basic fact

240 ÷ 4 = 60 ← 240 = 10 × 24. So, 60 = 10 × 6.

2,400 ÷ 4 = _____ ← 2,400 = 100 × 24. So, the quotient is 100 times as big as 6.

So, 2,400 ÷ 4 = _____

Answer:

600

Explanation:

24 ÷ 4 = 6 ← basic fact

240 ÷ 4 = 60 ← 240 = 10 × 24. So, 60 = 10 × 6.

2,400 ÷ 4 = 600 ← 2,400 = 100 × 24. So, the quotient is 100 times as big as 6.

So, 2,400 ÷ 4 = 600

**Check**

Use multiplication to check division.

Answer:

**Talk Math**

What basic fact will help you find the quotient of 4,200 and 7?

Answer:

The quotient is 600.

Explanation:

Use a basic fact and place value.

42 ÷ 7 = 6 ←basic fact

420 ÷ 7 = 60 ← 420 = 10 × 42. So, 60 = 10 × 6.

4,200 ÷ 7 = 600 ← 4,200 = 100 × 42. So, the quotient is 100 times as big as 6.

So, 4,200 ÷ 7 = 600

**Guided Practice**

**Complete each set of patterns.**

Question 1.

12 ÷ 4 = ____

120 ÷ 4 = ____

1,200 ÷ 4 = ____

Answer:

3, 30 and 300

Explanation:

Use a multiplication pattern.

3 × 4 = 12 → 12 ÷ 4 = 3

3 × 40 = 120 → 120 ÷ 4 = 30

3 × 400 = 1,200 → 1,200 ÷ 4 = 300

The answer is 3, 30, and 300.

Question 2.

36 ÷ 9 = ____

360 ÷ 9 = ____

3,600 ÷ 9 = ____

Answer:

4, 40 and 400

Explanation:

Use a multiplication pattern.

9 × 4 = 36 → 36 ÷ 9 = 4

9 × 40 = 360 → 360 ÷ 9 = 40

9 × 400 = 3,600 → 3,600 ÷ 9 = 400

The answer is 4, 40, and 400.

**Divide. Use patterns and place value.**

Question 3.

$400 ÷ 2 = _____

Answer:

$200

Explanation:

Use a multiplication pattern.

2 × 2 = 4 → 4 ÷ 2 = 2

2 × 20 = 40 → 40 ÷ 2 = 20

2 × 200 = 400 → 400 ÷ 2 = 200

The answer is 2, 20, and 200.

Use a basic fact and place value.

4 ÷ 2 = 2 ← basic fact

40÷ 2 = 20 ← 200 = 20 × 10. So, 20 = 10 × 2.

400 ÷ 2 = 200 ← 1600 = 100 × 16. So, the quotient is 100 times as big as 4.

So, 1,600 ÷ 4 = 400

Question 4.

1,600 ÷ 4 = _____

Answer:

400

Explanation:

Use a multiplication pattern.

4 × 4 = 16 → 16 ÷ 4 = 4

4 × 40 = 160 → 160 ÷ 4 = 40

4 × 400 = 1,600 → 1600 ÷ 4 = 400

The answer is 4, 40, and 400.

Use a basic fact and place value.

16 ÷ 4 = 4 ← basic fact

160÷ 4 = 40 ← 160 = 16 × 10. So, 40 = 10 × 4.

1600 ÷ 4 = 400 ← 1600 = 100 × 16. So, the quotient is 100 times as big as 4.

So, 1,600 ÷ 4 = 400

### McGraw Hill My Math Grade 4 Chapter 6 Lesson 1 My Homework Answer Key

**Practice**

**Complete each set of patterns.**

Question 1.

24 ÷ 3 = _____

240 ÷ 3 = ____

2,400 ÷ 3 = ____

Answer:

8, 80, 800

Explanation:

Use a multiplication pattern.

8 × 3 = 24 → 24 ÷ 3 = 8

80 × 3 = 240 → 240 ÷ 3 = 80

800 × 3 = 2,400 → 2,400 ÷ 3 = 800

The answer is 8, 80, 800.

Use a basic fact and place value.

24 ÷ 3 = 8 ← basic fact

240 ÷ 3 = 80 ← 240 = 24 × 10. So, 80 = 10 × 8.

2400 ÷ 3 = 800 ← 2400 = 24 × 100. So, the quotient is 100 times as big as 8.

So, 2,400 ÷ 3 = 800

Question 2.

32 ÷ 8 = _____

320 ÷ 8 = ____

3,200 ÷ 8 = ____

Answer:

4, 40, 400

Explanation:

Use a multiplication pattern.

8 × 4 = 32 → 32 ÷ 8 = 4

8 × 40 = 320 → 320 ÷ 8 = 40

8 × 400 = 3,200 → 3,200 ÷ 8 = 400

The answer is 4, 40, 400.

Use a basic fact and place value.

32 ÷ 8 = 4 ← basic fact

320 ÷ 8 = 40 ← 320 = 32 × 10. So, 40 = 10 × 4.

3200 ÷ 8 = 400 ← 3200 = 32 × 100. So, the quotient is 100 times as big as 4.

So, 3,200 ÷ 8 = 400

Question 3.

45 ÷ 5 = _____

450 ÷ 5 = ____

4,500 ÷ 5 = ____

Answer:

9, 90 and 900

Explanation:

Use a multiplication pattern.

5 × 9 = 45 → 45 ÷ 5 = 9

5 × 90 = 450 → 450 ÷ 5 = 90

5 × 900 = 4,500 → 4,500 ÷ 5 = 900

The answer is 9, 90, and 900.

Use a basic fact and place value.

45 ÷ 5 = 9 ← basic fact

450 ÷ 5 = 90 ← 450 = 45 × 10. So, 90 = 10 × 9.

4500 ÷ 5 = 900 ← 4500 = 45 × 100. So, the quotient is 100 times as big as 9.

So, 4,500 ÷ 5 = 900

Question 4.

56 ÷ 8 = _____

560 ÷ 8 = ____

5,600 ÷ 8 = ____

Answer:

7, 70 and 700

Explanation:

Use a multiplication pattern.

8 × 7 = 56 → 56 ÷ 8 = 7

8 × 70 = 560 → 560 ÷ 8 = 70

8 × 700 = 5,600 → 5,600 ÷ 8 = 700

The answer is 7, 70, and 700.

Use a basic fact and place value.

56 ÷ 8 = 7 ← basic fact

560 ÷ 8 = 70 ← 560 = 56 × 10. So, 70 = 10 × 7.

5600 ÷ 8 = 700 ← 5600 = 56 × 100. So, the quotient is 100 times as big as 7.

So, 5,600 ÷ 8 = 700

**Divide. Use patterns and place value.**

Question 5.

1,000 ÷ 2 = _____

Answer:

The division of the given number is 500.

Explanation:

Use a multiplication pattern.

5 × 2 = 10 → 10 ÷ 2 = 5

5 × 20 = 100 → 100 ÷ 2 = 50

5 × 200 = 1,000 → 1,000 ÷ 2 = 500

The division of the given number is 500.

Use a basic fact and place value.

10 ÷ 2 = 5 ← basic fact

100 ÷ 2 = 50 ← 100 = 10 × 10. So, 50 = 10 × 5.

1000 ÷ 2 = 500 ← 1000 = 10 × 100. So, the quotient is 100 times as big as 5.

So, 1,000 ÷ 2 = 500

Question 6.

500 ÷ 10 = ____

Answer:

The division of the given number is 50.

Explanation:

Use a multiplication pattern.

1 × 5 = 5 → 5 ÷ 1 = 5

10 × 5 = 50 → 50 ÷ 10 = 50

The answer is 5 and 50.

Use a basic fact and place value.

10 ÷ 2 = 5 ← basic fact

100 ÷ 2 = 50 ← 100 = 10 × 10. So, 50 = 10 × 5.

So, 1,00 ÷ 2 = 50

Question 7.

300 ÷ 5 = ____

Answer:

The division of the given number is 60.

Explanation:

Use a multiplication pattern.

5 × 6 = 30 → 30 ÷ 5 = 6

5 × 60 = 300 → 300 ÷ 5 = 60

The answer is 6, and 60.

Use a basic fact and place value.

30 ÷ 5 = 6 ← basic fact

300 ÷ 5 = 60 ← 300 = 10 × 3. So, 60 = 10 × 6.

So, 300 ÷ 5 = 60

Question 8.

2,100 ÷ 3 = ____

Answer:

The division of the given number is 700.

Explanation:

Use a multiplication pattern.

3 × 7 = 21 → 21 ÷ 3 = 7

3 × 70 = 210 → 210 ÷ 3 = 70

3 × 700 = 2,100 → 2,100 ÷ 3 = 700

The answer is 7, 70, and 700.

Use a basic fact and place value.

21÷ 3 = 7 ← basic fact

210÷ 3 = 70 ← 210 = 21 × 10. So, 70 = 10 × 7.

2100 ÷ 3 = 700 ← 2100 = 21 × 100. So, the quotient is 100 times as big as 7.

So, 2100 ÷ 3 = 700

Question 9.

7,200 ÷ 9 = ____

Answer:

The division of the given number is 800.

Explanation:

Use a multiplication pattern.

9 × 8 = 72 → 72 ÷ 9 = 8

9 × 80 = 720 → 720 ÷ 9 = 80

9 × 800 = 7,200 → 7,200 ÷ 9 = 800

The answer is 8, 80, and 800.

Use a basic fact and place value.

72 ÷ 9 = 8 ← basic fact

720÷ 9 = 80 ← 720 = 72 × 10. So, 80 = 10 × 8.

7200 ÷ 9 = 800 ← 7200 = 72 × 100. So, the quotient is 100 times as big as 8.

So, 7200 ÷ 9 = 800

Question 10.

$2,000 ÷ 4 = ____

Answer:

The division of the given number is 500.

Explanation:

Use a multiplication pattern.

4 × 5 = 20 → 20 ÷ 4 = 5

4 × 50 = 200 → 200 ÷ 4 = 50

4 × 500 = 2000 → 2000 ÷ 4 = 500

The answer is 5, 50, and 500.

Use a basic fact and place value.

20 ÷ 4 = 5 ← basic fact

200÷ 4 = 50 ← 200 = 20 × 10. So, 50 = 10 × 5.

2000 ÷ 4 = 500 ← 2000 = 20 × 100. So, the quotient is 100 times as big as 5.

So, 2000 ÷ 4 = 500

Question 11.

4,200 ÷ 7 = ____

Answer:

The division of the given number is $600.

Explanation:

Use a multiplication pattern.

7 × 6 = 42 → 42 ÷ 7 = 6

7 × 60 = 420 → 420 ÷ 7 = 60

7 × 600 = 4,200 → 4,200 ÷ 7 = 600

The answer is 6, 60, and 600.

Use a basic fact and place value.

42 ÷ 7 = 6 ← basic fact

420÷ 7 = 60 ← 420 = 42 × 10. So, 60 = 10 × 6.

4200 ÷ 7 = 600 ← 4200 = 100 × 42. So, the quotient is 100 times as big as 6.

So, 4,200 ÷ 7 = 600

Question 12.

$2,400 ÷ 6 = ____

Answer:

The division of the given number is $400.

Explanation:

Use a multiplication pattern.

6 × 4 = 24 → 24 ÷ 6 = 4

6 × 40 = 240 → 240 ÷ 6 = 40

6 × 400 = 2400 → 2400 ÷ 6 = 400

The answer is 4, 40, and 400.

Use a basic fact and place value.

24 ÷ 6 = 4 ← basic fact

240÷ 6 = 40 ← 240 = 24 × 10. So, 40 = 10 × 4.

2400 ÷ 6 = 400 ← 2400 = 100 × 24. So, the quotient is 100 times as big as 4.

So, 2,400 ÷ 6 = 400

**Problem Solving**

Question 13.

**Mathematical PRACTICE Use Math Tools** The electronics store sold 4 laptop computers in one day. The total cost of the laptops was $3,600. If each laptop cost the same amount, how much did each laptop cost?

Answer:

$ 900 per computer.

Explanation:

The total cost of the laptops was $3,600.

The electronics store sold 4 laptop computers in one day.

$3600 ÷ 4 = $900 per computer.

The cost of each laptop is $900 per computer.

Question 14.

The Thompson family is traveling 1,500 miles to visit relatives. They plan to drive the same distance each day. If the Thompsons make the trip in 3 days, how far will they drive each day?

_______________

If they make the trip in 5 days, how far will they drive each day?

_____________________

Answer:

500 miles, 300 miles

Explanation:

No of miles Thompson family traveled = 1500 miles

Thompsons make the trip in 3 days

1500 ÷ 3 = 500 miles

If they make the trip in 5 days

1500 ÷ 5 = 300 miles

Question 15.

Linus has 160 baseball cards he wants to give to his 4 cousins. If he divides the cards equally, how many cards will he give to each cousin?

Answer:

40 cards.

Explanation:

No of baseball cards = 160

No of cousins = 4

160 ÷ 4 = 40 cards.

There are 40 cards given to each cousin.

Question 16.

Last year, Carlotta earned $1,200 babysitting. Carlotta charges $6 per hour. What is the total number of hours Carlotta spent babysitting last year?

Answer:

200 hours

Explanation:

Carlotta earned $1,200 babysitting

Carlotta charges $6 per hour.

To find: What is the total number of hours Carlotta spent babysitting last year?

$1200 ÷ 6 = $200 hours.

The total number of hours Carlotta spent babysitting last year is $200 hours.

**Test Practice**

Question 17.

On a trip to New York City, 8 people spent a total of $2,400 on hotel rooms. If they shared the cost equally, how much did each person spend?

A. $400

B. $300

C. $40

D. $30

Answer:

$300

Explanation:

No of people = 8

Money spent on hotel rooms = $2400

If they shared equally

how much did each person spend?

$2400 ÷ 8 = $300

Each person spent $300.