Learn on PengiPengi Math (Grade 5)Chapter 2: Multi-Digit Multiplication and Division with Place Value

Lesson 5: Dividing Multi-Digit Numbers Using Area Models and Partial Quotients

In this Grade 5 Pengi Math lesson from Chapter 2, students learn how to divide multi-digit numbers by decomposing dividends into friendly numbers and applying the partial quotients strategy. They practice breaking apart division problems into manageable steps and combining partial quotients to find the final result. This lesson builds a foundational understanding of place value concepts as applied to multi-digit division using area models.

Section 1

Solve Division Using an Area Model

Property

To solve a division problem using an area model, the dividend is partitioned into a sum of smaller, convenient numbers. The quotient is the sum of the partial quotients found by dividing each part of the dividend by the divisor.

Examples

Section 2

Divide Whole Numbers Using Partial Quotients

Property

Partial quotients is a method for solving division problems by repeatedly subtracting "friendly" multiples of the divisor from the dividend.
The final quotient is the sum of all the partial quotients.

Examples

Book overview

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Chapter 2: Multi-Digit Multiplication and Division with Place Value

  1. Lesson 1

    Lesson 1: Estimating Products Using Rounding and Compatible Numbers

  2. Lesson 2

    Lesson 2: Modeling Multiplication with Area Models and Partial Products

  3. Lesson 3

    Lesson 3: Connecting Partial Products to the Standard Algorithm

  4. Lesson 4

    Lesson 4: Understanding Division as Finding a Missing Factor

  5. Lesson 5Current

    Lesson 5: Dividing Multi-Digit Numbers Using Area Models and Partial Quotients

  6. Lesson 6

    Lesson 6: Applying Division Algorithms and Interpreting Remainders

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

Solve Division Using an Area Model

Property

To solve a division problem using an area model, the dividend is partitioned into a sum of smaller, convenient numbers. The quotient is the sum of the partial quotients found by dividing each part of the dividend by the divisor.

Examples

Section 2

Divide Whole Numbers Using Partial Quotients

Property

Partial quotients is a method for solving division problems by repeatedly subtracting "friendly" multiples of the divisor from the dividend.
The final quotient is the sum of all the partial quotients.

Examples

Book overview

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

Continue this chapter

Chapter 2: Multi-Digit Multiplication and Division with Place Value

  1. Lesson 1

    Lesson 1: Estimating Products Using Rounding and Compatible Numbers

  2. Lesson 2

    Lesson 2: Modeling Multiplication with Area Models and Partial Products

  3. Lesson 3

    Lesson 3: Connecting Partial Products to the Standard Algorithm

  4. Lesson 4

    Lesson 4: Understanding Division as Finding a Missing Factor

  5. Lesson 5Current

    Lesson 5: Dividing Multi-Digit Numbers Using Area Models and Partial Quotients

  6. Lesson 6

    Lesson 6: Applying Division Algorithms and Interpreting Remainders