Learn on PengiEureka Math, Grade 4Chapter 1: Place Value of Multi-Digit Whole Numbers

Lesson 1: Interpret a multiplication equation as a comparison.

In this Grade 4 Eureka Math lesson from Chapter 1, students learn to interpret a multiplication equation as a comparison by exploring how each place value unit is 10 times as much as the unit below it. Using place value disks and charts, students build understanding of statements like "1 ten is 10 times as much as 1 one" and extend this reasoning through hundreds and thousands. The lesson connects multiplicative comparison language to the base-ten structure of multi-digit whole numbers.

Section 1

Bundling Place Value Units

Property

When you bundle 10 of a specific place value unit, you create 1 of the next larger place value unit.

10 ones=1 ten10 \text{ ones} = 1 \text{ ten}
10 tens=1 hundred10 \text{ tens} = 1 \text{ hundred}
10 hundreds=1 thousand10 \text{ hundreds} = 1 \text{ thousand}

Examples

Section 2

Modeling Multiplicative Comparisons on a Place Value Chart

Property

Multiplying a number of units by 10 results in the same number of the next larger place value unit. This can be represented as an equation: 10×n units=n (next larger units)10 \times n \text{ units} = n \text{ (next larger units)}.

Examples

Book overview

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Chapter 1: Place Value of Multi-Digit Whole Numbers

  1. Lesson 1Current

    Lesson 1: Interpret a multiplication equation as a comparison.

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  2. Lesson 2

    Lesson 2: Recognize a digit represents 10 times the value of what it represents in the place to its right.

    LearnPractice
  3. Lesson 3

    Lesson 3: Name numbers within 1 million by building understanding of the place value chart and placement of commas for naming base thousand units.

    LearnPractice
  4. Lesson 4

    Lesson 4: Read and write multi-digit numbers using base ten numerals, number names, and expanded form.

    LearnPractice

Lesson overview

Expand to review the lesson summary and core properties.

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Section 1

Bundling Place Value Units

Property

When you bundle 10 of a specific place value unit, you create 1 of the next larger place value unit.

10 ones=1 ten10 \text{ ones} = 1 \text{ ten}
10 tens=1 hundred10 \text{ tens} = 1 \text{ hundred}
10 hundreds=1 thousand10 \text{ hundreds} = 1 \text{ thousand}

Examples

Section 2

Modeling Multiplicative Comparisons on a Place Value Chart

Property

Multiplying a number of units by 10 results in the same number of the next larger place value unit. This can be represented as an equation: 10×n units=n (next larger units)10 \times n \text{ units} = n \text{ (next larger units)}.

Examples

Book overview

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

Continue this chapter

Chapter 1: Place Value of Multi-Digit Whole Numbers

  1. Lesson 1Current

    Lesson 1: Interpret a multiplication equation as a comparison.

    LearnPractice
  2. Lesson 2

    Lesson 2: Recognize a digit represents 10 times the value of what it represents in the place to its right.

    LearnPractice
  3. Lesson 3

    Lesson 3: Name numbers within 1 million by building understanding of the place value chart and placement of commas for naming base thousand units.

    LearnPractice
  4. Lesson 4

    Lesson 4: Read and write multi-digit numbers using base ten numerals, number names, and expanded form.

    LearnPractice