Learn on PengienVision, Mathematics, Grade 5Chapter 1: Understand Place Value

Lesson 5: Compare Decimals

In this Grade 5 lesson from enVision Mathematics Chapter 1, students learn how to compare and order decimals to the thousandths place by lining up decimal points and comparing digits from left to right by place value. The lesson uses real-world measurement contexts, such as insect lengths, to help students apply inequality symbols and correctly sequence decimals like 3.432, 3.576, and 3.582.

Section 1

Compare by Aligning Place Values

Property

To compare decimals, align them by their decimal points. Compare the digits in each place value, starting from the largest place (leftmost). The first place where the digits differ determines which number is greater.

Examples

Section 2

Ordering Decimals

Property

Ordering decimals involves arranging a set of numbers from least to greatest (ascending order) or greatest to least (descending order). This is achieved by repeatedly applying pairwise comparison to the numbers in the set.

Examples

Book overview

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Chapter 1: Understand Place Value

  1. Lesson 1

    Lesson 1: Patterns with Exponents and Powers of 10

  2. Lesson 2

    Lesson 2: Understand Whole-Number Place Value

  3. Lesson 3

    Lesson 3: Decimals to Thousandths

  4. Lesson 4

    Lesson 4: Understand Decimal Place Value

  5. Lesson 5Current

    Lesson 5: Compare Decimals

  6. Lesson 6

    Lesson 6: Round Decimals

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

Compare by Aligning Place Values

Property

To compare decimals, align them by their decimal points. Compare the digits in each place value, starting from the largest place (leftmost). The first place where the digits differ determines which number is greater.

Examples

Section 2

Ordering Decimals

Property

Ordering decimals involves arranging a set of numbers from least to greatest (ascending order) or greatest to least (descending order). This is achieved by repeatedly applying pairwise comparison to the numbers in the set.

Examples

Book overview

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

Continue this chapter

Chapter 1: Understand Place Value

  1. Lesson 1

    Lesson 1: Patterns with Exponents and Powers of 10

  2. Lesson 2

    Lesson 2: Understand Whole-Number Place Value

  3. Lesson 3

    Lesson 3: Decimals to Thousandths

  4. Lesson 4

    Lesson 4: Understand Decimal Place Value

  5. Lesson 5Current

    Lesson 5: Compare Decimals

  6. Lesson 6

    Lesson 6: Round Decimals