Learn on PengiEureka Math, Grade 5Chapter 10: Measurement Word Problems with Whole Number and Decimal Multiplication

Lesson 3: Solve two-step word problems involving measurement conversions.

In this Grade 5 Eureka Math lesson, students learn to solve two-step word problems that require measurement conversions, such as converting pounds and ounces to total ounces or meters and centimeters to a single unit before performing operations like division or multiplication. The lesson builds skills in converting between both metric and customary units, including length, weight, and capacity, within real-world problem contexts. Part of Chapter 10, this lesson strengthens students' ability to apply unit conversion alongside multiplication and division to reach a final answer expressed in a specified unit.

Section 1

Convert Larger Measurement Units to Smaller Units

Property

To convert a larger unit of measurement to a smaller unit, multiply the number of larger units by the conversion factor (the number of smaller units in one larger unit).

(Number of larger units)×(Conversion factor)=Total smaller units(\text{Number of larger units}) \times (\text{Conversion factor}) = \text{Total smaller units}

Examples

Section 2

Solving 'Times As Much' Measurement Problems

Property

To find a total amount that is a multiple of a base measurement, use the formula: Total Amount = Base Amount ×\times Multiplier. Calculations may require converting units before or after multiplying.

Examples

Book overview

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Chapter 10: Measurement Word Problems with Whole Number and Decimal Multiplication

  1. Lesson 1

    Lesson 1: Use whole number multiplication to express equivalent measurements.

  2. Lesson 2

    Lesson 2: Use fraction and decimal multiplication to express equivalent measurements.

  3. Lesson 3Current

    Lesson 3: Solve two-step word problems involving measurement conversions.

Lesson overview

Expand to review the lesson summary and core properties.

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Section 1

Convert Larger Measurement Units to Smaller Units

Property

To convert a larger unit of measurement to a smaller unit, multiply the number of larger units by the conversion factor (the number of smaller units in one larger unit).

(Number of larger units)×(Conversion factor)=Total smaller units(\text{Number of larger units}) \times (\text{Conversion factor}) = \text{Total smaller units}

Examples

Section 2

Solving 'Times As Much' Measurement Problems

Property

To find a total amount that is a multiple of a base measurement, use the formula: Total Amount = Base Amount ×\times Multiplier. Calculations may require converting units before or after multiplying.

Examples

Book overview

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

Continue this chapter

Chapter 10: Measurement Word Problems with Whole Number and Decimal Multiplication

  1. Lesson 1

    Lesson 1: Use whole number multiplication to express equivalent measurements.

  2. Lesson 2

    Lesson 2: Use fraction and decimal multiplication to express equivalent measurements.

  3. Lesson 3Current

    Lesson 3: Solve two-step word problems involving measurement conversions.