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

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

In this Grade 5 enVision Mathematics lesson from Chapter 4, students learn how to estimate the product of a decimal and a whole number using two key strategies: rounding and compatible numbers. The lesson covers how to apply these techniques to decimals less than one as well as decimals greater than one, and how to determine whether an estimate is an overestimate or an underestimate. Students practice both strategies across a variety of real-world contexts, such as calculating costs and distances.

Section 1

Confirming Decimal Placement with Estimation

Property

To estimate the product of a decimal and a whole number, round the decimal to the nearest whole number and multiply. The actual product will be approximately equal to the estimated product, which helps confirm the correct placement of the decimal point.

Actual Product(Rounded Decimal)×Whole NumberActual \ Product \approx (Rounded \ Decimal) \times Whole \ Number

Examples

Section 2

Estimate Decimal Products Using Compatible Numbers

Property

To estimate a product using compatible numbers, replace the factors with numbers that are close to the original values and are easy to multiply mentally. The product of the compatible numbers is the estimate.

a×bc×da \times b \approx c \times d

Examples

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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 2Current

    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 5

    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

Confirming Decimal Placement with Estimation

Property

To estimate the product of a decimal and a whole number, round the decimal to the nearest whole number and multiply. The actual product will be approximately equal to the estimated product, which helps confirm the correct placement of the decimal point.

Actual Product(Rounded Decimal)×Whole NumberActual \ Product \approx (Rounded \ Decimal) \times Whole \ Number

Examples

Section 2

Estimate Decimal Products Using Compatible Numbers

Property

To estimate a product using compatible numbers, replace the factors with numbers that are close to the original values and are easy to multiply mentally. The product of the compatible numbers is the estimate.

a×bc×da \times b \approx c \times 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 2Current

    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 5

    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