Learn on PengienVision, Mathematics, Grade 5Chapter 4: Use Models and Strategies to Multiply Decimals

Lesson 3: Use Models to Multiply a Decimal and a Whole Number

In this Grade 5 lesson from enVision Mathematics Chapter 4, students learn how to multiply a decimal by a whole number using place-value blocks and decimal grids as visual models. They practice representing products such as 4 × 0.36 by combining groups of blocks and regrouping tenths and hundredths to find the answer. The lesson builds students' understanding of decimal multiplication by connecting it to familiar whole-number strategies.

Section 1

Representing Decimal Multiplication with Grids and Blocks

Property

Base ten blocks can model decimal multiplication by arranging blocks in rectangular arrays, where the area represents the product.
On hundredths grids, decimal multiplication is shown by creating overlapping shaded regions where the intersection area equals the product: 0.3×0.40.3 \times 0.4 creates a 3×43 \times 4 rectangle covering 1212 squares out of 100100.

Examples

Section 2

Interpreting the Model to Place the Decimal Point

Property

The final arrangement of place value blocks or shaded grids determines the value of the product. The decimal point in the product separates the total number of ones (large squares) from the total number of tenths (rods).

Examples

Book overview

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Chapter 4: Use Models and Strategies to Multiply Decimals

  1. Lesson 1

    Lesson 1: Multiply Decimals by Powers of 10

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  2. Lesson 2

    Lesson 2: Estimate the Product of a Decimal and a Whole Number

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  3. Lesson 3Current

    Lesson 3: Use Models to Multiply a Decimal and a Whole Number

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  4. Lesson 4

    Lesson 4: Multiply a Decimal and a Whole Number

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  5. Lesson 5

    Lesson 5: Use Models to Multiply a Decimal and a Decimal

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  6. Lesson 6

    Lesson 6: Multiply Decimals Using Partial Products

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  7. Lesson 7

    Lesson 7: Use Properties to Multiply Decimals

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  8. Lesson 8

    Lesson 8: Use Number Sense to Multiply Decimals

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Lesson overview

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Section 1

Representing Decimal Multiplication with Grids and Blocks

Property

Base ten blocks can model decimal multiplication by arranging blocks in rectangular arrays, where the area represents the product.
On hundredths grids, decimal multiplication is shown by creating overlapping shaded regions where the intersection area equals the product: 0.3×0.40.3 \times 0.4 creates a 3×43 \times 4 rectangle covering 1212 squares out of 100100.

Examples

Section 2

Interpreting the Model to Place the Decimal Point

Property

The final arrangement of place value blocks or shaded grids determines the value of the product. The decimal point in the product separates the total number of ones (large squares) from the total number of tenths (rods).

Examples

Book overview

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

Continue this chapter

Chapter 4: Use Models and Strategies to Multiply Decimals

  1. Lesson 1

    Lesson 1: Multiply Decimals by Powers of 10

    LearnPractice
  2. Lesson 2

    Lesson 2: Estimate the Product of a Decimal and a Whole Number

    LearnPractice
  3. Lesson 3Current

    Lesson 3: Use Models to Multiply a Decimal and a Whole Number

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  4. Lesson 4

    Lesson 4: Multiply a Decimal and a Whole Number

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  5. Lesson 5

    Lesson 5: Use Models to Multiply a Decimal and a Decimal

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  6. Lesson 6

    Lesson 6: Multiply Decimals Using Partial Products

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  7. Lesson 7

    Lesson 7: Use Properties to Multiply Decimals

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  8. Lesson 8

    Lesson 8: Use Number Sense to Multiply Decimals

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