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.