Learn on PengiEureka Math, Grade 4Chapter 10: Multiplication by 10, 100, and 1,000

Lesson 3: Multiply two-digit multiples of 10 by two-digit multiples of 10 with the area model.

In this Grade 4 Eureka Math lesson from Chapter 10, students learn to multiply two-digit multiples of 10 by two-digit multiples of 10, such as 30 × 20, using place value charts and the area model. Students practice decomposing expressions into unit form and applying the associative property to find products like 3 tens × 2 tens = 6 hundreds. Fluency activities reinforce multiplying by multiples of 10, 100, and 1,000 to build the foundational skills needed for the area model approach.

Section 1

Multiply Multiples of 10 by Decomposing Factors

Property

To multiply two-digit multiples of 10, you can decompose each number, then use the associative property to regroup the factors.

(a×10)×(b×10)=(a×b)×(10×10)(a \times 10) \times (b \times 10) = (a \times b) \times (10 \times 10)

This is the same as multiplying the units: a tens×b tens=(a×b) hundredsa \text{ tens} \times b \text{ tens} = (a \times b) \text{ hundreds}.

Examples

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Chapter 10: Multiplication by 10, 100, and 1,000

  1. Lesson 1

    Lesson 1: Interpret and represent patterns when multiplying by 10, 100, and 1,000 in arrays and numerically.

  2. Lesson 2

    Lesson 2: Multiply multiples of 10, 100, and 1,000 by single digits, recognizing patterns.

  3. Lesson 3Current

    Lesson 3: Multiply two-digit multiples of 10 by two-digit multiples of 10 with the area model.

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

Multiply Multiples of 10 by Decomposing Factors

Property

To multiply two-digit multiples of 10, you can decompose each number, then use the associative property to regroup the factors.

(a×10)×(b×10)=(a×b)×(10×10)(a \times 10) \times (b \times 10) = (a \times b) \times (10 \times 10)

This is the same as multiplying the units: a tens×b tens=(a×b) hundredsa \text{ tens} \times b \text{ tens} = (a \times b) \text{ hundreds}.

Examples

Book overview

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

Continue this chapter

Chapter 10: Multiplication by 10, 100, and 1,000

  1. Lesson 1

    Lesson 1: Interpret and represent patterns when multiplying by 10, 100, and 1,000 in arrays and numerically.

  2. Lesson 2

    Lesson 2: Multiply multiples of 10, 100, and 1,000 by single digits, recognizing patterns.

  3. Lesson 3Current

    Lesson 3: Multiply two-digit multiples of 10 by two-digit multiples of 10 with the area model.