Section 1
Recording Decimal Comparisons
Property
To record the result of a comparison between two numbers, and , we use the following symbols:
- means " is less than ".
- means " is greater than ".
- means " is equal to ".
In this Grade 4 lesson from Pengi Math Chapter 8, students learn to compare and order decimals to the hundredths place using inequality symbols (<, >, =). They use area models and number lines as visual tools to justify comparisons, and practice converting between fractions and decimals to compare numbers in different forms. Students also arrange sets of decimals from least to greatest and greatest to least.
Section 1
Recording Decimal Comparisons
To record the result of a comparison between two numbers, and , we use the following symbols:
Section 2
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 3
Compare Decimals Using Like Units
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.
Section 4
Ordering Decimals
To order a set of decimal numbers, systematically compare pairs of numbers place value by place value, from left to right (ones, then tenths, then hundredths), to determine the position of each number in the sequence.
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Section 1
Recording Decimal Comparisons
To record the result of a comparison between two numbers, and , we use the following symbols:
Section 2
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 3
Compare Decimals Using Like Units
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.
Section 4
Ordering Decimals
To order a set of decimal numbers, systematically compare pairs of numbers place value by place value, from left to right (ones, then tenths, then hundredths), to determine the position of each number in the sequence.
Book overview
Jump across lessons in the current chapter without opening the full course modal.
Continue this chapter