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

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

In this Grade 5 lesson from enVision Mathematics Chapter 4, students learn how to multiply a decimal by a decimal using hundredths grids, shading overlapping regions to find the product. The lesson covers key concepts such as why the product of two decimals less than 1 is smaller than either factor, and extends to multiplying decimals greater than 1 using double hundredths grids. Students practice equations like 0.3 × 0.5 and 0.6 × 1.2, building both conceptual understanding and computational fluency with decimal multiplication.

Section 1

Model Multiplying Two Decimals Less Than One

Property

To multiply two decimals less than one, you can use a 10x10 grid to model the area of a rectangle. The product of the two decimals is represented by the overlapping shaded area.

Examples

Section 2

Interpret and Simplify Products from Models

Property

When the overlapping area on a hundredths grid represents a multiple of 10 (e.g., 20, 50, 70 hundredths), the resulting decimal product can be simplified by removing the trailing zero. This is because groups of ten hundredths are equivalent to one tenth.

0.d0=0.d0.d0 = 0.d

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

  2. Lesson 2

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

  3. Lesson 3

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

  4. Lesson 4

    Lesson 4: Multiply a Decimal and a Whole Number

  5. Lesson 5Current

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

  6. Lesson 6

    Lesson 6: Multiply Decimals Using Partial Products

  7. Lesson 7

    Lesson 7: Use Properties to Multiply Decimals

  8. Lesson 8

    Lesson 8: Use Number Sense to Multiply Decimals

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

Model Multiplying Two Decimals Less Than One

Property

To multiply two decimals less than one, you can use a 10x10 grid to model the area of a rectangle. The product of the two decimals is represented by the overlapping shaded area.

Examples

Section 2

Interpret and Simplify Products from Models

Property

When the overlapping area on a hundredths grid represents a multiple of 10 (e.g., 20, 50, 70 hundredths), the resulting decimal product can be simplified by removing the trailing zero. This is because groups of ten hundredths are equivalent to one tenth.

0.d0=0.d0.d0 = 0.d

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

  2. Lesson 2

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

  3. Lesson 3

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

  4. Lesson 4

    Lesson 4: Multiply a Decimal and a Whole Number

  5. Lesson 5Current

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

  6. Lesson 6

    Lesson 6: Multiply Decimals Using Partial Products

  7. Lesson 7

    Lesson 7: Use Properties to Multiply Decimals

  8. Lesson 8

    Lesson 8: Use Number Sense to Multiply Decimals