Learn on PengienVision, Mathematics, Grade 4Chapter 2: Fluently Add and Subtract Multi-Digit Whole Numbers

Lesson 2: Estimate Sums and Differences

In this Grade 4 enVision Mathematics lesson from Chapter 2, students learn how to estimate sums and differences of multi-digit whole numbers using rounding and place value. They practice rounding to the nearest thousand, hundred, and ten-thousand to find approximate answers, and use those estimates to check whether exact calculations are reasonable. Real-world contexts, such as library checkouts and ticket sales, help students apply estimation strategies to decide when an estimate is sufficient instead of an exact answer.

Section 1

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

Section 2

Check: Using Estimation to Assess Reasonableness

Property

To assess the reasonableness of a precise answer, compare it to an estimate made by rounding the numbers in the problem.
If the precise answer is close to the estimated answer, it is likely reasonable.
This can be represented as:

AnswerpreciseAnswerestimateAnswer_{precise} \approx Answer_{estimate}

Examples

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Chapter 2: Fluently Add and Subtract Multi-Digit Whole Numbers

  1. Lesson 1

    Lesson 1: Finding Sums and Differences with Mental Math

  2. Lesson 2Current

    Lesson 2: Estimate Sums and Differences

  3. Lesson 3

    Lesson 3: Add Whole Numbers

  4. Lesson 4

    Lesson 4: Add Greater Numbers

  5. Lesson 5

    Lesson 5: Subtract Whole Numbers

  6. Lesson 6

    Lesson 6: Subtract Greater Numbers

  7. Lesson 7

    Lesson 7: Subtract Across Zeros

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

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

Section 2

Check: Using Estimation to Assess Reasonableness

Property

To assess the reasonableness of a precise answer, compare it to an estimate made by rounding the numbers in the problem.
If the precise answer is close to the estimated answer, it is likely reasonable.
This can be represented as:

AnswerpreciseAnswerestimateAnswer_{precise} \approx Answer_{estimate}

Examples

Book overview

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

Continue this chapter

Chapter 2: Fluently Add and Subtract Multi-Digit Whole Numbers

  1. Lesson 1

    Lesson 1: Finding Sums and Differences with Mental Math

  2. Lesson 2Current

    Lesson 2: Estimate Sums and Differences

  3. Lesson 3

    Lesson 3: Add Whole Numbers

  4. Lesson 4

    Lesson 4: Add Greater Numbers

  5. Lesson 5

    Lesson 5: Subtract Whole Numbers

  6. Lesson 6

    Lesson 6: Subtract Greater Numbers

  7. Lesson 7

    Lesson 7: Subtract Across Zeros