Learn on PengiEureka Math, Grade 4Chapter 7: Metric Unit Conversions

Lesson 1: Express metric length measurements in terms of a smaller unit; model and solve addition and subtraction word problems involving metric length.

In this Grade 4 Eureka Math lesson from Chapter 7, students learn to express metric length measurements in terms of a smaller unit, converting between kilometers, meters, and centimeters. Using number bonds and tape diagrams, students build fluency with unit conversions and apply that skill to solve addition and subtraction word problems involving mixed metric length units. The lesson connects metric measurement to place value concepts introduced in earlier Grade 4 modules.

Section 1

Understanding Metric Length Units

Property

The standard units for metric length are the kilometer (km), meter (m), and centimeter (cm). They are related by the following equivalencies:

1 m=100 cm1 \text{ m} = 100 \text{ cm}
1 km=1000 m1 \text{ km} = 1000 \text{ m}

Examples

Section 2

Converting Mixed Metric Lengths to a Smaller Unit

Property

To express a mixed unit measurement in a single, smaller unit, convert the value of the larger unit and then add the value of the smaller unit.
Use the equivalencies 1 km=1000 m1 \text{ km} = 1000 \text{ m} and 1 m=100 cm1 \text{ m} = 100 \text{ cm}.

Examples

Section 3

Add and Subtract Mixed Metric Lengths

Property

To add or subtract lengths with mixed units, first convert all measurements into the common, smaller unit. Then, perform the addition or subtraction with the single-unit measurements.

Examples

Book overview

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Chapter 7: Metric Unit Conversions

  1. Lesson 1Current

    Lesson 1: Express metric length measurements in terms of a smaller unit; model and solve addition and subtraction word problems involving metric length.

    LearnPractice
  2. Lesson 2

    Lesson 2: Express metric mass measurements in terms of a smaller unit; model and solve addition and subtraction word problems involving metric mass.

    LearnPractice
  3. Lesson 3

    Lesson 3: Express metric capacity measurements in terms of a smaller unit; model and solve addition and subtraction word problems involving metric capacity.

    LearnPractice

Lesson overview

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Section 1

Understanding Metric Length Units

Property

The standard units for metric length are the kilometer (km), meter (m), and centimeter (cm). They are related by the following equivalencies:

1 m=100 cm1 \text{ m} = 100 \text{ cm}
1 km=1000 m1 \text{ km} = 1000 \text{ m}

Examples

Section 2

Converting Mixed Metric Lengths to a Smaller Unit

Property

To express a mixed unit measurement in a single, smaller unit, convert the value of the larger unit and then add the value of the smaller unit.
Use the equivalencies 1 km=1000 m1 \text{ km} = 1000 \text{ m} and 1 m=100 cm1 \text{ m} = 100 \text{ cm}.

Examples

Section 3

Add and Subtract Mixed Metric Lengths

Property

To add or subtract lengths with mixed units, first convert all measurements into the common, smaller unit. Then, perform the addition or subtraction with the single-unit measurements.

Examples

Book overview

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

Continue this chapter

Chapter 7: Metric Unit Conversions

  1. Lesson 1Current

    Lesson 1: Express metric length measurements in terms of a smaller unit; model and solve addition and subtraction word problems involving metric length.

    LearnPractice
  2. Lesson 2

    Lesson 2: Express metric mass measurements in terms of a smaller unit; model and solve addition and subtraction word problems involving metric mass.

    LearnPractice
  3. Lesson 3

    Lesson 3: Express metric capacity measurements in terms of a smaller unit; model and solve addition and subtraction word problems involving metric capacity.

    LearnPractice