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

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 = ____
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.
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 = _____
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 = _____
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.

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

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 = ____
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 = ____
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 = _____
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 = ____
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 = ____
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 = ____
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 = ____
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 = _____
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 = ____
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 = ____
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 = ____
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 = ____
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?
_____________________
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?
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?
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
$300 Explanation: No of people = 8 Money spent on hotel rooms =$2400
$2400 ÷ 8 =$300