Learn on PengiEureka Math, Grade 4Chapter 31: Decimal Comparison

Lesson 1: Use the place value chart and metric measurement to compare decimals and answer comparison questions.

In this Grade 4 Eureka Math lesson from Chapter 31, students use place value charts and metric measurement tools to compare decimals, applying concepts like tenths, hundredths, and decimal fraction equivalence. Students practice renaming decimals as mixed numbers and fractions, then use real-world measurements of length, mass, and volume to answer comparison questions. The lesson builds on prior work with unit decomposition to develop fluency with decimal comparison using standard comparison symbols.

Section 1

Representing Metric Measurements as Decimals

Property

Metric measurements combining large and small units can be written as a single decimal number. The larger unit represents the whole number, and the smaller units are represented as a fraction of the larger unit, which forms the decimal part.

1 meter 25 centimeters=1+25100 meters=1.25 m1 \text{ meter} \ 25 \text{ centimeters} = 1 + \frac{25}{100} \text{ meters} = 1.25 \text{ m}

Examples

Section 2

Comparing Decimals Using a Place Value Chart

Property

To compare decimals, compare the digits in the same place value, starting from the largest place value on the left. The first place value with a greater digit determines the greater number.

Examples

Section 3

Ordering Decimals

Property

To order a set of decimal numbers, systematically compare pairs of numbers place value by place value, from left to right (ones, then tenths, then hundredths), to determine the position of each number in the sequence.

Examples

Book overview

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Chapter 31: Decimal Comparison

  1. Lesson 1Current

    Lesson 1: Use the place value chart and metric measurement to compare decimals and answer comparison questions.

  2. Lesson 2

    Lesson 2: Use area models and the number line to compare decimal numbers, and record comparisons using <, >, and =.

  3. Lesson 3

    Lesson 3: Compare and order mixed numbers in various forms.

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

Representing Metric Measurements as Decimals

Property

Metric measurements combining large and small units can be written as a single decimal number. The larger unit represents the whole number, and the smaller units are represented as a fraction of the larger unit, which forms the decimal part.

1 meter 25 centimeters=1+25100 meters=1.25 m1 \text{ meter} \ 25 \text{ centimeters} = 1 + \frac{25}{100} \text{ meters} = 1.25 \text{ m}

Examples

Section 2

Comparing Decimals Using a Place Value Chart

Property

To compare decimals, compare the digits in the same place value, starting from the largest place value on the left. The first place value with a greater digit determines the greater number.

Examples

Section 3

Ordering Decimals

Property

To order a set of decimal numbers, systematically compare pairs of numbers place value by place value, from left to right (ones, then tenths, then hundredths), to determine the position of each number in the sequence.

Examples

Book overview

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

Continue this chapter

Chapter 31: Decimal Comparison

  1. Lesson 1Current

    Lesson 1: Use the place value chart and metric measurement to compare decimals and answer comparison questions.

  2. Lesson 2

    Lesson 2: Use area models and the number line to compare decimal numbers, and record comparisons using <, >, and =.

  3. Lesson 3

    Lesson 3: Compare and order mixed numbers in various forms.