6.46.4Name Divide by Divide by

One-Digit One-Digit NumbersNumbersLearning Target:Learning Target: Divide multi-digit numbers by Divide multi-digit numbers by

one-digit numbers.one-digit numbers.Success Criteria:Success Criteria: • I can use place value to divide.• I can use place value to divide.• I can show how to regroup when necessary.• I can show how to regroup when necessary.• I can find a quotient and a remainder.• I can find a quotient and a remainder.

Explore and Grow

Chapter 6 ⎜ Lesson 4 255

Complete all three models to fi nd 248 ÷ 8.

Structure How would the models be the same for 3,069 ÷ 5?How would they be diff erent?

Area Model

8

Division

Partial Quotients Model

8 8

Area = square units

1

8 ) ‾ 248 − 240 = 8 × 30 30

− = 8 × 1 + 1

So, 248 ÷ 8 = .

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Think and Grow: Understand Multiplicative ComparisonThink and Grow: Divide by One-Digit Numbers

256

Divide. Then check your answer.

Show and GrowShow and GrowSShhhhhhhoowwwwwwww aannnddddddd GGGGGrrrrrroowwwwwwSSSSSSSShhhhhhhhoooooooowwwwwwww aaaaaaannnnnnnndddddddd GGGGGGGGrrrrrrrroooooooowwwwwwwwShow and GrowShow and Grow

Example Find 3,069 ÷ 5. Estimate

6 5 ) ‾ 3,069 30 hundreds ÷ 5 − 30 6 hundreds × 5 0 30 hundreds − 30 hundreds There are 0 hundreds left over.

61 5 ) ‾ 3,069 − 30 06 6 tens ÷ 5 − 5 1 ten × 5 1 6 tens − 5 tens There is 1 ten left over.

613 5 ) ‾ 3,069 − 30 06 − 5 19 19 ones ÷ 5 − 15 3 ones × 5 4 19 ones − 15 ones There are 4 ones left over.

1. 1. 7 ) ‾ 786

2. 2. 4 ) ‾ 3,212

3. 3. 6 ) ‾ 1,759

Regroup 3 thousands as 30 hundreds. Dividethe hundreds.

Divide the tens.

Divide the ones.

So, 3,069 ÷ 5 = R . Check: Because R is closeto the estimate, the answer is reasonable.

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257Chapter 6 ⎜ Lesson 4

Name

Divide. Then check your answer.

12. 12. DIG DEEPER Complete the multiplication problem to check the division work. Then use the word cards to label each part of the multiplication problem.

10. 10. Your cousin babysits for 5 days and earns a total of $375. How much money does your cousin earn each day?

11. 11. Number Sense Without calculating, determine whether you place the first digit of the quotient in the hundreds place or the thousands place. Explain.

6,529 ÷ 8

4. 4. 3 ) ‾ 4,185

7. 7. 824 ÷ 4 =

5. 5. 6 ) ‾ 730

8. 8. 4,526 ÷ 2 =

6. 6. 8 ) ‾ 7,106

9. 9. 9,364 ÷ 9 =

Apply and Grow: Practice

×

+ ✓

Check:dividend

divisor

quotient

remainder

74 R2 7 ) ‾ 520 − 49 30 − 28 2

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Think and Grow: Modeling Real Life

258

19 R 6 ) ‾ 118 11 tens ÷ 6 − 6 58 58 ones ÷ 6 − 54 4 118 ÷ 6 = R

Show and GrowShow and GrowSSShhhhhhhoowwwwwww aannnndddddddd GGGGrrrrrrroowwwwwwwSSSSSSSShhhhhhhhoooooooowwwwwwww aaaaaaaannnnnnnndddddddd GGGGGGGGrrrrrrrroooooooowwwwwwwwShow and GrowShow and Grow13. 13. A total of 243 students take a field trip on 5 buses.

Each bus must have about the same number of students. How many students must ride on each bus?

14. 14. DIG DEEPER The boiling point of tungsten is 5,660 degrees Celsius. This is 160 degrees hotter than 2 times the boiling point of iron. What is the boiling point of iron?

Interpret the quotient and the remainder.

The quotient is . So, each group studies at least elements.

The remainder is . There are elements not assigned to a group.

So, groups must study 1 more element.

Subtract to fi nd how many groups study 19 elements. 6 − =

So, 2 groups study elements and 4 groups study elements.

Example There are 118 elements in the periodic table. There are 6 groups of students in a class. Each group is assigned about the same number of elements to study. How many elements does each group study?

Divide 118 by 6 to fi nd how many elements each group studies.

tungstenfilament

Tungsten is commonly used in lightbulbs because it is the element with the

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Name 6.46.4Homework & Practice

Learning Target:Learning Target: Divide multi-digit numbers Divide multi-digit numbers by one-digit numbers.by one-digit numbers.

259Chapter 6 ⎜ Lesson 4

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R 6 ) ‾ 4,262 − 06 − 02

−

Divide. Then check your answer.

1. 1. 6 ) ‾ 834

4. 4. 215 ÷ 7 =

2. 2. 4 ) ‾ 881

5. 5. 6,517 ÷ 4 =

3. 3. 2 ) ‾ 4,135

6. 6. 3,155 ÷ 5 =

Example Find 4,262 ÷ 6.

Regroup 4 thousands as 40 hundreds and combine with 2 hundreds.Divide the hundreds.

Divide the tens.

Divide the ones.

So, 4,262 ÷ 6 = R .

Use multiplication to check your answer.

710 22

6

0

2710

42

quotientdivisor

remainder

dividend

× 6

✓

4,260

4,262

710

2+

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260

9. 9. Reasoning Your friend says the quotient of 3,627 and 9 is 43. Is your friend’s answer reasonable? Explain.

11. 11. Modeling Real Life A principal invites 138 students to a reward breakfast. Nine students sit at each table. How many tables are there?

10. 10. DIG DEEPER Choose two numbers to write a division expression that has the greatest quotient. Then evaluate.

12. 12. Modeling Real Life A class makes origami cubes. Each cube requires 6 sheets of paper. The class makes as many cubes as possible with 550 sheets of paper. How many more sheets of paper does the class need to make one more cube?

7. 7. Your friend makes care packages with9 items in each package. She has 1,350 items. How many care packages can she make?

8. 8. Number Sense What is the dividend when the divisor is 8 and the quotient is 96 with remainder 3? Explain how you found the dividend.

Review & RefreshEstimate the product.

13. 13. 0.9 × 82 14. 14. 36 × 2.71

5,004 2

6

3

2,400

6,378

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