Learn on PengienVision, Mathematics, Grade 4Chapter 4: Use Strategies and Properties to Multiply by 2-Digit Numbers

Lesson 2: Use Models to Multiply 2-Digit Numbers by Multiples of 10

In this Grade 4 enVision Mathematics lesson from Chapter 4, students learn to multiply 2-digit numbers by multiples of 10 using place-value block arrays and area models to identify partial products. By breaking apart factors and applying the Distributive Property, students solve problems such as 20 × 24 by calculating 20 × 20 and 20 × 4 separately, then adding the partial products. This lesson builds foundational multiplication fluency needed for multi-digit computation throughout the chapter.

Section 1

Step 1: Represent Multiplication with an Area Model

Property

To represent the multiplication of a multiple of 10 by a two-digit number, decompose the two-digit number into its tens and ones. The multiple of 10 becomes one dimension of an area model, and the decomposed tens and ones become the parts of the other dimension.

Examples

Section 2

Step 2: Find Partial Products Using the Area Model

Property

For a multiple of 10, AA, and a two-digit number broken into tens, TT, and ones, OO:

A×(T+O)=(A×T)+(A×O)A \times (T + O) = (A \times T) + (A \times O)

Section 3

Step 3: Sum Partial Products for the Total Product

Property

To find the total product, add the partial products together.

Total Product=Partial Product1+Partial Product2Total\ Product = Partial\ Product_1 + Partial\ Product_2

Examples

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Chapter 4: Use Strategies and Properties to Multiply by 2-Digit Numbers

  1. Lesson 1

    Lesson 1: Multiply Multiples of 10

  2. Lesson 2Current

    Lesson 2: Use Models to Multiply 2-Digit Numbers by Multiples of 10

  3. Lesson 3

    Lesson 3: Estimate: Use Rounding or Compatible Numbers

  4. Lesson 4

    Lesson 4: Arrays and Partial Products

  5. Lesson 5

    Lesson 5: Area Models and Partial Products

  6. Lesson 6

    Lesson 6: Use Partial Products to Multiply by 2-Digit Numbers

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

Step 1: Represent Multiplication with an Area Model

Property

To represent the multiplication of a multiple of 10 by a two-digit number, decompose the two-digit number into its tens and ones. The multiple of 10 becomes one dimension of an area model, and the decomposed tens and ones become the parts of the other dimension.

Examples

Section 2

Step 2: Find Partial Products Using the Area Model

Property

For a multiple of 10, AA, and a two-digit number broken into tens, TT, and ones, OO:

A×(T+O)=(A×T)+(A×O)A \times (T + O) = (A \times T) + (A \times O)

Section 3

Step 3: Sum Partial Products for the Total Product

Property

To find the total product, add the partial products together.

Total Product=Partial Product1+Partial Product2Total\ Product = Partial\ Product_1 + Partial\ Product_2

Examples

Book overview

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

Continue this chapter

Chapter 4: Use Strategies and Properties to Multiply by 2-Digit Numbers

  1. Lesson 1

    Lesson 1: Multiply Multiples of 10

  2. Lesson 2Current

    Lesson 2: Use Models to Multiply 2-Digit Numbers by Multiples of 10

  3. Lesson 3

    Lesson 3: Estimate: Use Rounding or Compatible Numbers

  4. Lesson 4

    Lesson 4: Arrays and Partial Products

  5. Lesson 5

    Lesson 5: Area Models and Partial Products

  6. Lesson 6

    Lesson 6: Use Partial Products to Multiply by 2-Digit Numbers