6
6.2 6.2 Name Division Division Patterns Patterns Learning Target: Learning Target: Use place value and division facts to Use place value and division facts to find quotients. find quotients. Success Criteria: Success Criteria: I can divide a multiple of ten, one hundred, or one thousand I can divide a multiple of ten, one hundred, or one thousand by a one-digit number. by a one-digit number. I can divide a multiple of ten, one hundred, or one thousand I can divide a multiple of ten, one hundred, or one thousand by a multiple of ten. by a multiple of ten. I can explain how to use place value and division facts to I can explain how to use place value and division facts to divide tens, hundreds, or thousands. divide tens, hundreds, or thousands. Explore and Grow Chapter 6 Lesson 2 243 Use any strategy to find each missing factor. Then write a related division equation. What pattern do you notice? Repeated Reasoning Explain how finding 35 ÷ 7 can help you find 350 ÷ 70. × 3 3 = 15 15 × 3 3 = 150 150 × 3 3 = 1,500 1,500 × 30 30 = 150 150 × 30 30 = 1,500 1,500 × 30 30 = 15,000 15,000 © Big Ideas Learning, LLC

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Page 1: Name Division 6.2 Patterns Learning Target: Success Criteria

6.26.2Name Division Division

PatternsPatternsLearning Target:Learning Target: Use place value and division facts to Use place value and division facts to find quotients.find quotients.Success Criteria:Success Criteria: • I can divide a multiple of ten, one hundred, or one thousand• I can divide a multiple of ten, one hundred, or one thousand

by a one-digit number.by a one-digit number.• I can divide a multiple of ten, one hundred, or one thousand • I can divide a multiple of ten, one hundred, or one thousand

by a multiple of ten.by a multiple of ten.• I can explain how to use place value and division facts to• I can explain how to use place value and division facts to

divide tens, hundreds, or thousands.divide tens, hundreds, or thousands.

Explore and Grow

Chapter 6 ⎜ Lesson 2 243

Use any strategy to find each missing factor. Then write a related division equation.

What pattern do you notice?

Repeated Reasoning Explain how finding 35 ÷ 7 can help you find 350 ÷ 70.

× 3 3 = 15 15 × 3 3 = 150 150 × 3 3 = 1,500 1,500

× 30 30 = 150 150 × 30 30 = 1,500 1,500 × 30 30 = 15,000 15,000

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Page 2: Name Division 6.2 Patterns Learning Target: Success Criteria

Think and Grow: Understand Multiplicative ComparisonThink and Grow: Division Patterns

244

You can use place value and basic division facts to divide tens,hundreds, or thousands by one-digit numbers or multiples of ten.

Example Find 6,300 ÷ 7.

Think: 63 ÷ 7 = Division fact

6,300 ÷ 7 = hundreds ÷ 7 Use place value.

= hundreds Divide.

=

So, 6,300 ÷ 7 = .

Find the quotient.

1. 1. 2,500 ÷ 5 =

Think: ÷ =

3. 3. 5,400 ÷ 90 =

2. 2. 420 ÷ 60 =

Think: ÷ =

4. 4. 8,000 ÷ 20 =

Show and GrowShow and GrowSSShhhhhhhhoowwwwww aannnndddddddd GGGrrrrrrroowwwwwwwSSSSSSSShhhhhhhhoooooooowwwwwwww aaaaaaaannnnnnnndddddddd GGGGGGGGrrrrrrrroooooooowwwwwwwwShow and GrowShow and Grow

Because multiplication and division are inverse operations, you can use multiplication to

check your answer.

Example Find 1,200 ÷ 40.

Think: 12 ÷ 4 = Division fact

120 ÷ 40 = 12 tens ÷ 4 tens = Use place value.

1,200 ÷ 40 = 120 tens ÷ 4 tens =

So, 1,200 ÷ 40 = .

You can write 1,200 as 12 hundreds or 120 tens. Because the divisor is 40, write 1,200 as 120 tens.

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Page 3: Name Division 6.2 Patterns Learning Target: Success Criteria

245Chapter 6 ⎜ Lesson 2

Name

Find the quotient.

Find the missing number.

Compare.

21. 21. Number Sense Which number cards have a quotient of 70?

5. 5. 800 ÷ 4 =

14. 14. ÷ 40 = 8

17. 17. 28 tens ÷ 7 tens 28 ÷ 7

19. 19. A jeweler has 600 rings. He displays 20 rings in each ring cushion. How many ring cushions does he use?

18. 18. 2,700 ÷ 90 24 tens ÷ 8 tens

20. 20. Writing Explain how to use 45 ÷ 9 to find 4,500 ÷ 90.

8. 8. 300 ÷ 50 =

11. 11. 1,000 divided by 20

is .

6. 6. 120 ÷ 60 =

15. 15. 360 ÷ = 6

9. 9. 8,100 ÷ 90 =

12. 12. 900 divided by 10

is .

7. 7. 5,600 ÷ 7 =

16. 16. 7,200 ÷ = 90

10. 10. 3,000 ÷ 30 =

13. 13. 1,800 divided by 60

is .

Apply and Grow: Practice

2,800 ÷ 40 2,800 ÷ 4 280 ÷ 40 280 ÷ 4

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Page 4: Name Division 6.2 Patterns Learning Target: Success Criteria

Think and Grow: Modeling Real Life

246

how and GrowShow and GrowSSShhhhhhhhoowwwwww aannnndddddddd GGGGrrrrrrroowwwwwSSSSSSSShhhhhhhhoooooooowwwwwwww aaaaaaaannnnnnnndddddddd GGGGGGGGrrrrrrrroooooooowwwwwwwwShow and GrowShow and Grow22. 22. A box of tennis balls weighs 3 kilograms. Each tennis

ball weighs about 60 grams. How many tennis balls are in the box?

23. 23. DIG DEEPER An automated teller machine, or ATM, has only $20 bills. At the start of the day, it has $10,000. One hundred eighty $20 bills are withdrawn throughout the day. How many $20 bills does the ATM have left?

24. 24. DIG DEEPER A cargo van can hold up to 2 tons. The driver weighs 200 pounds. He needs to transport as many 50-pound bags of dog food as possible. How many bags of dog food can the van hold?

Example A blue whale’s heart beats once every 10 seconds.How many times does the blue whale’s heart beat in 1 hour?

Think: How many seconds are in 1 hour?

There are 60 seconds in 1 minute, and 60 minutes in 1 hour.So, multiply 60 by 60 to find how many seconds are in 1 hour.

60 × 60 = 3,600

Divide 3,600 by 10 to find how many times the blue whale’s heart beats in 1 hour.

Think: 36 ÷ 1 = Division fact

360 ÷ 10 = 36 tens ÷ 1 ten = Use place value.

3,600 ÷ 10 = 360 tens ÷ 1 ten =

So, the blue whale’s heart beats times in 1 hour.

Think: What property can you use to help

you solve?

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Page 5: Name Division 6.2 Patterns Learning Target: Success Criteria

Name 6.26.2Homework

& PracticeLearning Target:Learning Target: Use place value and division Use place value and division facts to find quotients.facts to find quotients.

247Chapter 6 ⎜ Lesson 2

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Example Find 3,500 ÷ 70.

Think: 35 ÷ 7 = Division fact

350 ÷ 70 = 35 tens ÷ 7 tens = Use place value.

3,500 ÷ 70 = 350 tens ÷ 7 tens =

So, 3,500 ÷ 70 = .

5

5

50

50

Find the quotient.

Find the missing number.

Compare.

1. 1. 180 ÷ 2 =

Think: ÷ =

9. 9. 2,400 ÷ = 30

12. 12. 45 hundreds ÷ 9 450 ÷ 90 13. 13. 3,600 ÷ 60 140 ÷ 2

3. 3. 4,000 ÷ 5 =

6. 6. 200 divided by 40

is .

10. 10. ÷ 60 = 50

4. 4. 270 ÷ 30 =

7. 7. 400 divided by 20

is .

2. 2. 4,200 ÷ 70 =

Think: ÷ =

11. 11. 700 ÷ = 70

5. 5. 2,400 ÷ 60 =

8. 8. 2,100 divided by 70

is .

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248

15. 15. Reasoning Why is 640 ÷ 80 equal to 64 ÷ 8?

16. 16. Modeling Real Life A black bear in a zoo eats 8 kilograms of food each day. He eats 4 equal-sized meals each day. How many grams of food are in each meal?

17. 17. DIG DEEPER How many times faster does a grizzly bear’s heart beat each minute outside of hibernation than during hibernation?

Review & RefreshCompare.

19. 19. 0.65 0.650 20. 20. 2.816 2.814

14. 14. The elevator to the Top of the Rock Observation Deck in New York City travels 1,200 feet each minute. How many feet does the elevator travel each second?

Grizzly Bear Heartbeats

Each Hour Each Minute

Outside of Hibernation 2,400

During Hibernation 480

18. 18. 7.829 7.851

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