Learn on PengiEureka Math, Grade 4Chapter 13: Division of Tens and Ones with Successive Remainders

Lesson 1: Solve division word problems with remainders.

In this Grade 4 Eureka Math lesson from Chapter 13, students learn to solve division word problems that produce remainders, interpreting both the quotient and the remainder in context. Using arrays and tape diagrams, students practice dividing two-digit numbers by one-digit numbers and determine whether the quotient represents the size of a group or the number of groups. The lesson builds on multiplication fluency to develop a foundational understanding of division with remainders.

Section 1

Representing Remainders in Division

Property

When a number (the dividend) cannot be divided evenly by another number (the divisor), the amount left over is called the remainder. The remainder must be a whole number greater than or equal to 0 and less than the divisor. The relationship can be expressed as:

(divisor×quotient)+remainder=dividend(\text{divisor} \times \text{quotient}) + \text{remainder} = \text{dividend}

Examples

Section 2

Interpreting Quotients and Remainders in Word Problems

Property

The final answer to a division word problem depends on the question being asked. After finding the quotient (qq) and remainder (rr), you must decide if the answer is the quotient, the quotient plus one, or the remainder itself based on the problem's context.

Examples

Book overview

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Chapter 13: Division of Tens and Ones with Successive Remainders

  1. Lesson 1Current

    Lesson 1: Solve division word problems with remainders.

  2. Lesson 2

    Lesson 2: Understand and solve division problems with a remainder using the array and area models.

  3. Lesson 3

    Lesson 3: Understand and solve two-digit dividend division problems with a remainder in the ones place by using place value disks.

  4. Lesson 4

    Lesson 4: Represent and solve division problems requiring decomposing a remainder in the tens.

  5. Lesson 5

    Lesson 5: Find whole number quotients and remainders.

  6. Lesson 6

    Lesson 6: Explain remainders by using place value understanding and models.

  7. Lesson 7

    Lesson 7: Solve division problems without remainders using the area model.

  8. Lesson 8

    Lesson 8: Solve division problems with remainders using the area model.

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

Representing Remainders in Division

Property

When a number (the dividend) cannot be divided evenly by another number (the divisor), the amount left over is called the remainder. The remainder must be a whole number greater than or equal to 0 and less than the divisor. The relationship can be expressed as:

(divisor×quotient)+remainder=dividend(\text{divisor} \times \text{quotient}) + \text{remainder} = \text{dividend}

Examples

Section 2

Interpreting Quotients and Remainders in Word Problems

Property

The final answer to a division word problem depends on the question being asked. After finding the quotient (qq) and remainder (rr), you must decide if the answer is the quotient, the quotient plus one, or the remainder itself based on the problem's context.

Examples

Book overview

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

Continue this chapter

Chapter 13: Division of Tens and Ones with Successive Remainders

  1. Lesson 1Current

    Lesson 1: Solve division word problems with remainders.

  2. Lesson 2

    Lesson 2: Understand and solve division problems with a remainder using the array and area models.

  3. Lesson 3

    Lesson 3: Understand and solve two-digit dividend division problems with a remainder in the ones place by using place value disks.

  4. Lesson 4

    Lesson 4: Represent and solve division problems requiring decomposing a remainder in the tens.

  5. Lesson 5

    Lesson 5: Find whole number quotients and remainders.

  6. Lesson 6

    Lesson 6: Explain remainders by using place value understanding and models.

  7. Lesson 7

    Lesson 7: Solve division problems without remainders using the area model.

  8. Lesson 8

    Lesson 8: Solve division problems with remainders using the area model.