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

Lesson overview

Expand to review the lesson summary and core properties.

Expand

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