Learn on PengiEureka Math, Grade 4Chapter 8: Application of Metric Unit Conversions

Lesson 2: Use addition and subtraction to solve multi-step word problems involving length, mass, and capacity.

In this Grade 4 Eureka Math lesson from Chapter 8, students apply addition and subtraction to solve multi-step word problems involving metric units of length, mass, and capacity, including mixed units such as kilograms and grams or liters and milliliters. Students practice converting between metric units and use labeled diagrams and equations to model real-world problems like comparing weights of vegetables measured in mixed units. The lesson builds on prior work with metric conversions to develop fluency and problem-solving strategies with measurement contexts.

Section 1

Add and Subtract Mixed Units with Regrouping

Property

When adding or subtracting mixed units, you may need to regroup between the larger and smaller units. Use the standard conversion factors to regroup correctly.

1 kg=1,000 g1 \text{ kg} = 1,000 \text{ g}
1 L=1,000 mL1 \text{ L} = 1,000 \text{ mL}
1 m=100 cm1 \text{ m} = 100 \text{ cm}

Examples

Section 2

Model and Solve Multi-Step Measurement Problems

Property

To solve a multi-step measurement word problem, first model the relationships between the known and unknown quantities using a tape diagram. Then, use the diagram to set up and solve the sequence of addition and subtraction equations needed to find the solution. Finally, assess if the answer is reasonable in the context of the problem.

Examples

Book overview

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Chapter 8: Application of Metric Unit Conversions

  1. Lesson 1

    Lesson 1: Know and relate metric units to place value units in order to express measurements in different units.

  2. Lesson 2Current

    Lesson 2: Use addition and subtraction to solve multi-step word problems involving length, mass, and capacity.

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

Add and Subtract Mixed Units with Regrouping

Property

When adding or subtracting mixed units, you may need to regroup between the larger and smaller units. Use the standard conversion factors to regroup correctly.

1 kg=1,000 g1 \text{ kg} = 1,000 \text{ g}
1 L=1,000 mL1 \text{ L} = 1,000 \text{ mL}
1 m=100 cm1 \text{ m} = 100 \text{ cm}

Examples

Section 2

Model and Solve Multi-Step Measurement Problems

Property

To solve a multi-step measurement word problem, first model the relationships between the known and unknown quantities using a tape diagram. Then, use the diagram to set up and solve the sequence of addition and subtraction equations needed to find the solution. Finally, assess if the answer is reasonable in the context of the problem.

Examples

Book overview

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

Continue this chapter

Chapter 8: Application of Metric Unit Conversions

  1. Lesson 1

    Lesson 1: Know and relate metric units to place value units in order to express measurements in different units.

  2. Lesson 2Current

    Lesson 2: Use addition and subtraction to solve multi-step word problems involving length, mass, and capacity.