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

Lesson overview

Expand to review the lesson summary and core properties.

Expand

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