Learn on PengienVision, Mathematics, Grade 4Chapter 12: Understand and Compare Decimals

Lesson 3: Compare Decimals

Property.

Section 1

Compare Decimals Using Area Models

Property

To compare decimals using an area model, represent each decimal by shading a portion of identical wholes (e.g., 10x10 grids). The decimal corresponding to the larger shaded area is the greater number.

Examples

Section 2

Compare Decimals Using a Number Line

Property

On a number line, the value of a number increases as you move from left to right. For any two decimals aa and bb:

  • If decimal aa is to the right of decimal bb, then a>ba > b.
  • If decimal aa is to the left of decimal bb, then a<ba < b.

Examples

Section 3

Compare Decimals Using Like Units

Property

To compare decimals, rewrite them so they have the same number of decimal places (like units) by adding trailing zeros. This does not change the decimal's value. Once in like units, compare the numbers as if they were whole numbers.

Examples

Book overview

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Chapter 12: Understand and Compare Decimals

  1. Lesson 1

    Lesson 1: Fractions and Decimals

  2. Lesson 2

    Lesson 2: Fractions and Decimals on the Number Line

  3. Lesson 3Current

    Lesson 3: Compare Decimals

  4. Lesson 4

    Lesson 4: Add Fractions with Denominators of 10 and 100

  5. Lesson 5

    Lesson 5: Solve Word Problems Involving Money

Lesson overview

Expand to review the lesson summary and core properties.

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Section 1

Compare Decimals Using Area Models

Property

To compare decimals using an area model, represent each decimal by shading a portion of identical wholes (e.g., 10x10 grids). The decimal corresponding to the larger shaded area is the greater number.

Examples

Section 2

Compare Decimals Using a Number Line

Property

On a number line, the value of a number increases as you move from left to right. For any two decimals aa and bb:

  • If decimal aa is to the right of decimal bb, then a>ba > b.
  • If decimal aa is to the left of decimal bb, then a<ba < b.

Examples

Section 3

Compare Decimals Using Like Units

Property

To compare decimals, rewrite them so they have the same number of decimal places (like units) by adding trailing zeros. This does not change the decimal's value. Once in like units, compare the numbers as if they were whole numbers.

Examples

Book overview

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

Continue this chapter

Chapter 12: Understand and Compare Decimals

  1. Lesson 1

    Lesson 1: Fractions and Decimals

  2. Lesson 2

    Lesson 2: Fractions and Decimals on the Number Line

  3. Lesson 3Current

    Lesson 3: Compare Decimals

  4. Lesson 4

    Lesson 4: Add Fractions with Denominators of 10 and 100

  5. Lesson 5

    Lesson 5: Solve Word Problems Involving Money