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

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

In this Grade 4 Eureka Math lesson from Chapter 8, students learn to convert between metric units — including meters and centimeters, kilograms and grams, and liters and milliliters — by connecting these conversions to place value relationships. Students practice expressing measurements in different units, such as rewriting 1 m 20 cm as 120 cm or 1,500 g as 1 kg 500 g, building fluency through unit counting and mixed-unit addition. The lesson also applies these skills to a multi-step word problem involving subtraction of mixed metric units.

Section 1

Relating Metric Units to Place Value

Property

The relationship between larger and smaller metric units is analogous to the relationship between place value units.
The prefix 'kilo-' means 1,000 times the base unit, just as a 'thousand' is 1,000 times a 'one'.

1 thousand=1,000×1 one⟷1 kilometer=1,000×1 meter1 \text{ thousand} = 1,000 \times 1 \text{ one} \quad \longleftrightarrow \quad 1 \text{ kilometer} = 1,000 \times 1 \text{ meter}
1 hundred=100×1 one⟷1 meter=100×1 centimeter1 \text{ hundred} = 100 \times 1 \text{ one} \quad \longleftrightarrow \quad 1 \text{ meter} = 100 \times 1 \text{ centimeter}

Examples

Section 2

Express Mixed Metric Units as a Single Unit

Property

For units where 1 larger unit = 1,000 smaller units (e.g., 1 kg=1,000 g1 \text{ kg} = 1,000 \text{ g}), a mixed measurement can be expressed as a single smaller unit by combining the values using place value. The number of larger units represents the thousands, and the number of smaller units fills the hundreds, tens, and ones places.

X larger units Y smaller units =(X×1000+Y) smaller unitsX \text{ larger units } Y \text{ smaller units } = (X \times 1000 + Y) \text{ smaller units}

Examples

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Chapter 8: Application of Metric Unit Conversions

  1. Lesson 1Current

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

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  2. Lesson 2

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

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Lesson overview

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Section 1

Relating Metric Units to Place Value

Property

The relationship between larger and smaller metric units is analogous to the relationship between place value units.
The prefix 'kilo-' means 1,000 times the base unit, just as a 'thousand' is 1,000 times a 'one'.

1 thousand=1,000×1 one⟷1 kilometer=1,000×1 meter1 \text{ thousand} = 1,000 \times 1 \text{ one} \quad \longleftrightarrow \quad 1 \text{ kilometer} = 1,000 \times 1 \text{ meter}
1 hundred=100×1 one⟷1 meter=100×1 centimeter1 \text{ hundred} = 100 \times 1 \text{ one} \quad \longleftrightarrow \quad 1 \text{ meter} = 100 \times 1 \text{ centimeter}

Examples

Section 2

Express Mixed Metric Units as a Single Unit

Property

For units where 1 larger unit = 1,000 smaller units (e.g., 1 kg=1,000 g1 \text{ kg} = 1,000 \text{ g}), a mixed measurement can be expressed as a single smaller unit by combining the values using place value. The number of larger units represents the thousands, and the number of smaller units fills the hundreds, tens, and ones places.

X larger units Y smaller units =(X×1000+Y) smaller unitsX \text{ larger units } Y \text{ smaller units } = (X \times 1000 + Y) \text{ smaller units}

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 1Current

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

    LearnPractice
  2. Lesson 2

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

    LearnPractice