Learn on PengiEureka Math, Grade 5Chapter 24: Multiplication with Fractions and Decimals as Scaling and Word Problems

Lesson 3: Compare the size of the product to the size of the factors.

In this Grade 5 Eureka Math lesson from Chapter 24, students learn to compare the size of a product to the size of its factors when multiplying by fractions and decimals, discovering that multiplying by a factor less than 1 shrinks the product, greater than 1 enlarges it, and equal to 1 leaves it unchanged. Students practice scaling with both fraction and decimal forms such as 97/100 and 1.01, building understanding of how the value of the scaling factor determines whether the product is less than, greater than, or equal to the original. The lesson connects fraction-to-decimal conversion and real-world scaling problems to reinforce these comparison concepts.

Section 1

Estimate the Magnitude of Scaling

Property

The closer a scaling factor is to 1, the closer the product will be to the original number. The farther a scaling factor is from 1, the more the product will change from the original number.

Examples

Book overview

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Chapter 24: Multiplication with Fractions and Decimals as Scaling and Word Problems

  1. Lesson 1

    Lesson 1: Explain the size of the product, and relate fraction and decimal equivalence to multiplying a fraction by 1.

  2. Lesson 2

    Lesson 2: Compare the size of the product to the size of the factors.

  3. Lesson 3Current

    Lesson 3: Compare the size of the product to the size of the factors.

  4. Lesson 4

    Lesson 4: Solve word problems using fraction and decimal multiplication.

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

Estimate the Magnitude of Scaling

Property

The closer a scaling factor is to 1, the closer the product will be to the original number. The farther a scaling factor is from 1, the more the product will change from the original number.

Examples

Book overview

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

Continue this chapter

Chapter 24: Multiplication with Fractions and Decimals as Scaling and Word Problems

  1. Lesson 1

    Lesson 1: Explain the size of the product, and relate fraction and decimal equivalence to multiplying a fraction by 1.

  2. Lesson 2

    Lesson 2: Compare the size of the product to the size of the factors.

  3. Lesson 3Current

    Lesson 3: Compare the size of the product to the size of the factors.

  4. Lesson 4

    Lesson 4: Solve word problems using fraction and decimal multiplication.