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

Lesson 6: Subtract Greater Numbers

In this Grade 4 enVision Mathematics lesson from Chapter 2, students learn to subtract greater whole numbers using the standard algorithm and place value, including regrouping across multiple digits. The lesson also covers using inverse operations (addition) to check subtraction answers and using estimation to verify whether results are reasonable. Students apply these skills to multi-step real-world problems involving numbers up to the hundred thousands.

Section 1

Subtracting with Multiple Regroupings

Property

To subtract multi-digit numbers, align them by place value and subtract column by column from right to left. If a top digit is smaller than the bottom digit, decompose 1 unit from the place to the left, which is equivalent to adding 10 to the current place. This process may need to be repeated multiple times, including across places with a value of zero.

Examples

Section 2

Checking Subtraction with Addition

Property

Addition and subtraction are inverse operations. To check a subtraction problem, add the difference (the answer) to the subtrahend (the number being subtracted). The sum must equal the minuend (the number you started with).

ab=cc+b=aa - b = c \quad \Leftrightarrow \quad c + b = a

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 2

    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 6Current

    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

Subtracting with Multiple Regroupings

Property

To subtract multi-digit numbers, align them by place value and subtract column by column from right to left. If a top digit is smaller than the bottom digit, decompose 1 unit from the place to the left, which is equivalent to adding 10 to the current place. This process may need to be repeated multiple times, including across places with a value of zero.

Examples

Section 2

Checking Subtraction with Addition

Property

Addition and subtraction are inverse operations. To check a subtraction problem, add the difference (the answer) to the subtrahend (the number being subtracted). The sum must equal the minuend (the number you started with).

ab=cc+b=aa - b = c \quad \Leftrightarrow \quad c + b = a

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 2

    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 6Current

    Lesson 6: Subtract Greater Numbers

  7. Lesson 7

    Lesson 7: Subtract Across Zeros