In this Grade 5 enVision Mathematics lesson from Chapter 2, students learn to subtract decimals using place value strategies, including partial differences and number line models. The lesson covers aligning decimal place values, subtracting tenths and hundredths, and using the inverse relationship between addition and subtraction to check answers. Students apply these skills to real-world problems involving measurements and money.
Section 1
Modeling Decimal Subtraction on a Number Line
To subtract decimals on a number line, start at the minuend (the first number) and move to the left. The total distance moved is the value of the subtrahend (the second number). The final position on the number line is the difference.
Section 2
Using the Partial Differences Method
To subtract using partial differences, break the second number into its place value parts (e.g., ones, tenths, hundredths). Then, subtract each part one at a time from the first number. For a problem like , the process is:
Expand to review the lesson summary and core properties.
Section 1
Modeling Decimal Subtraction on a Number Line
To subtract decimals on a number line, start at the minuend (the first number) and move to the left. The total distance moved is the value of the subtrahend (the second number). The final position on the number line is the difference.
Section 2
Using the Partial Differences Method
To subtract using partial differences, break the second number into its place value parts (e.g., ones, tenths, hundredths). Then, subtract each part one at a time from the first number. For a problem like , the process is: