Learn on PengiPengi Math (Grade 5)Chapter 4: Decimal Multiplication and Division

Lesson 1: Estimating Decimal Products to Check Reasonableness

In this Grade 5 Pengi Math lesson from Chapter 4, students learn how to estimate decimal products by rounding and using compatible numbers to simplify mental computation. They practice predicting the size of a product before calculating and then use estimation to verify correct decimal placement in their answers.

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

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Chapter 4: Decimal Multiplication and Division

  1. Lesson 1Current

    Lesson 1: Estimating Decimal Products to Check Reasonableness

  2. Lesson 2

    Lesson 2: Multiplying Decimals by Whole Numbers Using Models

  3. Lesson 3

    Lesson 3: Multiplying Two Decimals Using Area and Partial Products

  4. Lesson 4

    Lesson 4: Decimal Multiplication Algorithms and Decimal Placement

  5. Lesson 5

    Lesson 5: Dividing Decimals Using Models and Algorithms

  6. Lesson 6

    Lesson 6: Dividing Decimals by Decimals

  7. Lesson 7

    Lesson 7: Solving Multi-Step Problems with Decimal Operations

Lesson overview

Expand to review the lesson summary and core properties.

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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: Decimal Multiplication and Division

  1. Lesson 1Current

    Lesson 1: Estimating Decimal Products to Check Reasonableness

  2. Lesson 2

    Lesson 2: Multiplying Decimals by Whole Numbers Using Models

  3. Lesson 3

    Lesson 3: Multiplying Two Decimals Using Area and Partial Products

  4. Lesson 4

    Lesson 4: Decimal Multiplication Algorithms and Decimal Placement

  5. Lesson 5

    Lesson 5: Dividing Decimals Using Models and Algorithms

  6. Lesson 6

    Lesson 6: Dividing Decimals by Decimals

  7. Lesson 7

    Lesson 7: Solving Multi-Step Problems with Decimal Operations