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Subtracting Decimals Partial Products

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Subtracting Decimals Partial Products

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🎯 I Can Statement

I can subtract decimals using partial products by breaking down numbers into their place value parts.

Success Criteria:

✓ I can identify place values in decimal numbers
✓ I can break decimals into parts (ones, tenths, hundredths)
✓ I can subtract each part separately
✓ I can combine the partial products to find the final answer

📚 Part 1: Understanding Partial Products

1. Look at this subtraction problem: 4.67 - 2.34. Which shows the correct way to break this into partial products?

(4 - 2) + (0.6 - 0.3) + (0.07 - 0.04)

(4 - 2) + (6 - 3) + (7 - 4)

(4.6 - 2.3) + (0.07 - 0.04)

2. When subtracting 5.89 - 3.45 using partial products, what is the result of subtracting the tenths place?

0.4

0.04

4

3. Complete this partial products subtraction: 7.52 - 3.21

Ones place: 7 - 3 = _____

Tenths place: 0.5 - 0.2 = _____

Hundredths place: 0.02 - 0.01 = _____

Final answer: _____ + _____ + _____ = _____

✏️ Part 2: Solve Using Partial Products

4. Solve 6.84 - 2.63 using partial products. Show your work:
5. A recipe calls for 3.75 cups of flour. Maria has already used 1.42 cups. How much flour does she have left? Use partial products to solve.
6. Challenge Problem: Solve 8.06 - 4.28 using partial products. (Hint: You may need to regroup!)
7. Explain in your own words why breaking decimals into partial products makes subtraction easier:

🌟 Extension Activity

8. Advanced Learners: Create your own decimal subtraction problem that requires regrouping. Solve it using partial products and explain each step:

Differentiation Support: If you need help, start with simpler numbers like 2.45 - 1.23 before trying problems with regrouping.

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