Learn on PengiEureka Math, Grade 4Chapter 3: Rounding Multi-Digit Whole Numbers

Lesson 1: Round multi-digit numbers to the thousands place using the vertical number line.

In this Grade 4 Eureka Math lesson, students learn to round multi-digit numbers to the nearest thousand using a vertical number line, including identifying midpoints between consecutive thousands and placing numbers accurately on the line. The lesson builds rounding skills through fluency activities such as finding midpoints, skip-counting by place value, and applying number patterns with numbers up to the hundred thousands. Part of Chapter 3 on rounding multi-digit whole numbers, this lesson lays the conceptual foundation students need before rounding to larger place values.

Section 1

Determine Endpoints and Midpoint for Rounding to the Thousands

Property

To round a number to the nearest thousand, first find the nearest lower thousand and the nearest higher thousand. The midpoint is the number in the middle between them.

  • The upper thousand is 10001000 more than the lower thousand:

Section 2

Rounding to the Nearest Thousand on a Vertical Number Line

Property

To round a number to the nearest thousand, plot it on a vertical number line. If the number is less than the midpoint, round down to the lower thousand. If the number is greater than or equal to the midpoint, round up to the upper thousand.

Examples

Section 3

Rounding from the Midpoint to the Nearest Thousand

Property

When rounding to the nearest thousand, a number that is exactly at the midpoint between two thousands always rounds up to the greater thousand. The midpoint is found by adding 500 to the lower thousand.

Examples

Book overview

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Chapter 3: Rounding Multi-Digit Whole Numbers

  1. Lesson 1Current

    Lesson 1: Round multi-digit numbers to the thousands place using the vertical number line.

  2. Lesson 2

    Lesson 2: Round multi-digit numbers to any place using the vertical number line.

  3. Lesson 3

    Lesson 3: Use place value understanding to round multi-digit numbers to any place value.

  4. Lesson 4

    Lesson 4: Use place value understanding to round multi-digit numbers to any place value using real world applications.

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

Determine Endpoints and Midpoint for Rounding to the Thousands

Property

To round a number to the nearest thousand, first find the nearest lower thousand and the nearest higher thousand. The midpoint is the number in the middle between them.

  • The upper thousand is 10001000 more than the lower thousand:

Section 2

Rounding to the Nearest Thousand on a Vertical Number Line

Property

To round a number to the nearest thousand, plot it on a vertical number line. If the number is less than the midpoint, round down to the lower thousand. If the number is greater than or equal to the midpoint, round up to the upper thousand.

Examples

Section 3

Rounding from the Midpoint to the Nearest Thousand

Property

When rounding to the nearest thousand, a number that is exactly at the midpoint between two thousands always rounds up to the greater thousand. The midpoint is found by adding 500 to the lower thousand.

Examples

Book overview

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

Continue this chapter

Chapter 3: Rounding Multi-Digit Whole Numbers

  1. Lesson 1Current

    Lesson 1: Round multi-digit numbers to the thousands place using the vertical number line.

  2. Lesson 2

    Lesson 2: Round multi-digit numbers to any place using the vertical number line.

  3. Lesson 3

    Lesson 3: Use place value understanding to round multi-digit numbers to any place value.

  4. Lesson 4

    Lesson 4: Use place value understanding to round multi-digit numbers to any place value using real world applications.