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

Lesson overview

Expand to review the lesson summary and core properties.

Expand

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