Learn on PengienVision, Mathematics, Grade 5Chapter 2: Use Models and Strategies to Add and Subtract Decimals

Lesson 5: Use Strategies to Subtract Decimals

In this Grade 5 enVision Mathematics lesson from Chapter 2, students learn to subtract decimals using place value strategies, including partial differences and number line models. The lesson covers aligning decimal place values, subtracting tenths and hundredths, and using the inverse relationship between addition and subtraction to check answers. Students apply these skills to real-world problems involving measurements and money.

Section 1

Modeling Decimal Subtraction on a Number Line

Property

To subtract decimals on a number line, start at the minuend (the first number) and move to the left. The total distance moved is the value of the subtrahend (the second number). The final position on the number line is the difference.

Examples

Section 2

Using the Partial Differences Method

Property

To subtract using partial differences, break the second number into its place value parts (e.g., ones, tenths, hundredths). Then, subtract each part one at a time from the first number. For a problem like 5.852.415.85 - 2.41, the process is:

(5.852)0.40.01(5.85 - 2) - 0.4 - 0.01

Examples

Book overview

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Chapter 2: Use Models and Strategies to Add and Subtract Decimals

  1. Lesson 1

    Lesson 1: Mental Math

  2. Lesson 2

    Lesson 2: Estimate Sums and Differences of Decimals

  3. Lesson 3

    Lesson 3: Use Models to Add and Subtract Decimals

  4. Lesson 4

    Lesson 4: Use Strategies to Add Decimals

  5. Lesson 5Current

    Lesson 5: Use Strategies to Subtract Decimals

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

Modeling Decimal Subtraction on a Number Line

Property

To subtract decimals on a number line, start at the minuend (the first number) and move to the left. The total distance moved is the value of the subtrahend (the second number). The final position on the number line is the difference.

Examples

Section 2

Using the Partial Differences Method

Property

To subtract using partial differences, break the second number into its place value parts (e.g., ones, tenths, hundredths). Then, subtract each part one at a time from the first number. For a problem like 5.852.415.85 - 2.41, the process is:

(5.852)0.40.01(5.85 - 2) - 0.4 - 0.01

Examples

Book overview

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

Continue this chapter

Chapter 2: Use Models and Strategies to Add and Subtract Decimals

  1. Lesson 1

    Lesson 1: Mental Math

  2. Lesson 2

    Lesson 2: Estimate Sums and Differences of Decimals

  3. Lesson 3

    Lesson 3: Use Models to Add and Subtract Decimals

  4. Lesson 4

    Lesson 4: Use Strategies to Add Decimals

  5. Lesson 5Current

    Lesson 5: Use Strategies to Subtract Decimals