Learn on PengiEureka Math, Grade 4Chapter 15: Division of Thousands, Hundreds, Tens, and Ones

Lesson 1: Divide multiples of 10, 100, and 1,000 by single-digit numbers.

In this Grade 4 Eureka Math lesson from Chapter 15, students learn to divide multiples of 10, 100, and 1,000 by single-digit numbers using place value understanding and unit form. Students practice expressing division expressions such as 900 ÷ 3 as "9 hundreds ÷ 3" to apply basic facts across place value units, including decomposing mixed-unit dividends like 350 ÷ 5. Place value disk models and a thousands place value chart support students in building fluency with this foundational division strategy.

Section 1

Divide Using Basic Facts and Place Value

Property

To divide a multiple of 10, 100, or 1,000, you can think of the dividend in terms of its largest place value unit. The division problem then becomes a basic fact, and the quotient will have the same unit.

Examples

Section 2

Finding the Value of One Unit in a Tape Diagram

Property

A tape diagram models division by showing a total amount (the dividend) broken into a number of equal parts (the divisor). The value of one part is the quotient.

Total÷Number of Parts=Value of One PartTotal \div \text{Number of Parts} = \text{Value of One Part}

Examples

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Chapter 15: Division of Thousands, Hundreds, Tens, and Ones

  1. Lesson 1Current

    Lesson 1: Divide multiples of 10, 100, and 1,000 by single-digit numbers.

  2. Lesson 2

    Lesson 2: Represent and solve division problems with up to a three-digit dividend numerically and with place value disks requiring decomposing a remainder in the hundreds place.

  3. Lesson 3

    Lesson 3: Represent and solve three-digit dividend division with divisors of 2, 3, 4, and 5 numerically.

  4. Lesson 4

    Lesson 4: Represent numerically four-digit dividend division with divisors of 2, 3, 4, and 5, decomposing a remainder up to three times.

  5. Lesson 5

    Lesson 5: Solve division problems with a zero in the dividend or with a zero in the quotient.

  6. Lesson 6

    Lesson 6: Interpret division word problems as either number of groups unknown or group size unknown.

  7. Lesson 7

    Lesson 7: Interpret and find whole number quotients and remainders to solve one-step division word problems with larger divisors of 6, 7, 8, and 9.

  8. Lesson 8

    Lesson 8: Explain the connection of the area model of division to the long division algorithm for three- and four-digit dividends.

Lesson overview

Expand to review the lesson summary and core properties.

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Section 1

Divide Using Basic Facts and Place Value

Property

To divide a multiple of 10, 100, or 1,000, you can think of the dividend in terms of its largest place value unit. The division problem then becomes a basic fact, and the quotient will have the same unit.

Examples

Section 2

Finding the Value of One Unit in a Tape Diagram

Property

A tape diagram models division by showing a total amount (the dividend) broken into a number of equal parts (the divisor). The value of one part is the quotient.

Total÷Number of Parts=Value of One PartTotal \div \text{Number of Parts} = \text{Value of One Part}

Examples

Book overview

Jump across lessons in the current chapter without opening the full course modal.

Continue this chapter

Chapter 15: Division of Thousands, Hundreds, Tens, and Ones

  1. Lesson 1Current

    Lesson 1: Divide multiples of 10, 100, and 1,000 by single-digit numbers.

  2. Lesson 2

    Lesson 2: Represent and solve division problems with up to a three-digit dividend numerically and with place value disks requiring decomposing a remainder in the hundreds place.

  3. Lesson 3

    Lesson 3: Represent and solve three-digit dividend division with divisors of 2, 3, 4, and 5 numerically.

  4. Lesson 4

    Lesson 4: Represent numerically four-digit dividend division with divisors of 2, 3, 4, and 5, decomposing a remainder up to three times.

  5. Lesson 5

    Lesson 5: Solve division problems with a zero in the dividend or with a zero in the quotient.

  6. Lesson 6

    Lesson 6: Interpret division word problems as either number of groups unknown or group size unknown.

  7. Lesson 7

    Lesson 7: Interpret and find whole number quotients and remainders to solve one-step division word problems with larger divisors of 6, 7, 8, and 9.

  8. Lesson 8

    Lesson 8: Explain the connection of the area model of division to the long division algorithm for three- and four-digit dividends.