Section 1
Subtracting Decimals with Like Units
Property
Subtracting decimals with the same place value (like units) is equivalent to subtracting whole numbers of that unit.
In this Grade 5 Eureka Math lesson from Chapter 4, students learn to subtract decimals by applying place value strategies, including regrouping across tenths, hundredths, and thousandths. Using place value charts and disk models, students work through problems such as subtracting mixed decimal units and cases requiring renaming, then connect these concrete methods to the standard written algorithm. The lesson builds directly on prior work with decimal addition and place value decomposition introduced earlier in the chapter.
Section 1
Subtracting Decimals with Like Units
Subtracting decimals with the same place value (like units) is equivalent to subtracting whole numbers of that unit.
Section 2
Subtracting Decimals Using the Standard Algorithm
To subtract decimals using the standard algorithm, align the numbers vertically by their decimal points. Subtract each column from right to left, regrouping from the place value to the left when a top digit is smaller than the bottom digit. Place the decimal point in the answer directly below the decimal points in the problem.
Section 3
Annexing Zeros to Subtract Decimals
To subtract decimals with a different number of decimal places, annex (add) zeros to the right of the number with fewer decimal places until both numbers have the same number of places. This does not change the number's value (e.g., ).
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Section 1
Subtracting Decimals with Like Units
Subtracting decimals with the same place value (like units) is equivalent to subtracting whole numbers of that unit.
Section 2
Subtracting Decimals Using the Standard Algorithm
To subtract decimals using the standard algorithm, align the numbers vertically by their decimal points. Subtract each column from right to left, regrouping from the place value to the left when a top digit is smaller than the bottom digit. Place the decimal point in the answer directly below the decimal points in the problem.
Section 3
Annexing Zeros to Subtract Decimals
To subtract decimals with a different number of decimal places, annex (add) zeros to the right of the number with fewer decimal places until both numbers have the same number of places. This does not change the number's value (e.g., ).
Book overview
Jump across lessons in the current chapter without opening the full course modal.
Continue this chapter