In this Grade 4 Eureka Math lesson from the Decimal Comparison chapter, students learn to compare decimal numbers using area models and number lines, then record those comparisons with the symbols <, >, and =. The lesson builds on decimal fraction equivalence and place value concepts as students analyze pairs of decimals such as 0.15 and 0.51 by shading hundredths grids and plotting values on a number line. Real-world contexts, like comparing volumes of water measured in tenths and hundredths of a liter, help students apply comparison reasoning to practical problems.
Section 1
Compare Decimals Using Area Models
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.
Section 2
Recording Decimal Comparisons
To record the result of a comparison between two numbers, and , we use the following symbols:
Section 3
Decimal Equivalence of Tenths and Hundredths
A decimal's value does not change when a zero is added to the rightmost decimal place. Any number of tenths is equivalent to ten times that number of hundredths.
Section 4
Comparing Numbers in Different Forms
To compare numbers written in different forms (e.g., fraction, mixed number, unit form), first convert them to a common form, such as a decimal.
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Section 1
Compare Decimals Using Area Models
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.
Section 2
Recording Decimal Comparisons
To record the result of a comparison between two numbers, and , we use the following symbols:
Section 3
Decimal Equivalence of Tenths and Hundredths
A decimal's value does not change when a zero is added to the rightmost decimal place. Any number of tenths is equivalent to ten times that number of hundredths.
Section 4
Comparing Numbers in Different Forms
To compare numbers written in different forms (e.g., fraction, mixed number, unit form), first convert them to a common form, such as a decimal.
Book overview
Jump across lessons in the current chapter without opening the full course modal.
Continue this chapter