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

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

In this Grade 4 Eureka Math lesson, students learn to multiply multiples of 10, 100, and 1,000 by single-digit numbers by recognizing place value patterns, such as understanding that 2 tens × 4 = 8 tens and 2 hundreds × 4 = 8 hundreds. Students use place value disks and unit form to connect basic multiplication facts to larger units, building fluency with problems like 8 × 20, 8 × 200, and 8 × 2,000. This lesson is part of Chapter 10 and develops the foundational understanding of how the number of zeros in a product relates to the place value of the factors.

Section 1

Model Multiplication with Place Value Disks

Property

Multiplying a single digit by a multiple of a place value unit can be modeled by creating equal groups of place value disks. This relationship can be expressed as:

a×(b×unit)=(a×b)×unita \times (b \times \text{unit}) = (a \times b) \times \text{unit}

Examples

Book overview

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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 2Current

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

  3. Lesson 3

    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

Model Multiplication with Place Value Disks

Property

Multiplying a single digit by a multiple of a place value unit can be modeled by creating equal groups of place value disks. This relationship can be expressed as:

a×(b×unit)=(a×b)×unita \times (b \times \text{unit}) = (a \times b) \times \text{unit}

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 2Current

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

  3. Lesson 3

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