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

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

In this Grade 4 Eureka Math lesson, students learn to round five- and six-digit numbers to the nearest ten thousand and hundred thousand using a vertical number line. They practice identifying endpoints and midpoints on the number line to determine which benchmark a number is closest to, then apply rounding to estimate sums and differences in addition and subtraction problems. The lesson builds place value understanding with multi-digit numbers up to the hundred thousands place.

Section 1

Rounding to the Nearest Ten Thousand and Hundred Thousand

Property

To round a number to a specific place value, identify the lower endpoint and upper endpoint. Find the midpoint.

  • If the original number is greater than or equal to the middle, round up to the largest number.
  • If the original number is smaller than the middle, round down to the smallest number.

Examples

Section 2

Estimating Sums and Differences by Rounding

Property

To estimate a sum or difference, first round each number to a specified place value, then perform the addition or subtraction on the rounded numbers. The result is an approximation, denoted by the ≈\approx symbol. For numbers AA and BB, an estimated sum is round(A)+round(B)\text{round}(A) + \text{round}(B) and an estimated difference is round(A)−round(B)\text{round}(A) - \text{round}(B).

Examples

Book overview

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Chapter 3: Rounding Multi-Digit Whole Numbers

  1. Lesson 1

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

  2. Lesson 2Current

    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

Rounding to the Nearest Ten Thousand and Hundred Thousand

Property

To round a number to a specific place value, identify the lower endpoint and upper endpoint. Find the midpoint.

  • If the original number is greater than or equal to the middle, round up to the largest number.
  • If the original number is smaller than the middle, round down to the smallest number.

Examples

Section 2

Estimating Sums and Differences by Rounding

Property

To estimate a sum or difference, first round each number to a specified place value, then perform the addition or subtraction on the rounded numbers. The result is an approximation, denoted by the ≈\approx symbol. For numbers AA and BB, an estimated sum is round(A)+round(B)\text{round}(A) + \text{round}(B) and an estimated difference is round(A)−round(B)\text{round}(A) - \text{round}(B).

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 1

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

  2. Lesson 2Current

    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.