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

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