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Decimal Subtraction Partitioning

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Decimal Subtraction Partitioning

Decimal Subtraction Partitioning

Decimal place value chart illustration

🔢 Part 1: Understanding Decimal Place Value

1. Write the decimal number 4.67 in words:
2. Complete the place value chart for 8.35:

Tens: _____ | Ones: _____ | Tenths: _____ | Hundredths: _____

3. Circle the correct way to partition 6.42:

6 + 0.4 + 0.02

6 + 4 + 2

0.6 + 0.04 + 0.002

➖ Part 2: Partitioning Method Practice

4. Use partitioning to solve 7.84 - 3.52. Show your working:
5. Partition these numbers and subtract:

9.67 - 4.23

9.67 = _____ + _____ + _____

4.23 = _____ + _____ + _____

Subtract: _____ - _____ = _____

Answer: _____

6. Complete this partitioned subtraction:

12.75 - 8.46

Ones: 12 - 8 = _____

Tenths: 0.7 - 0.4 = _____

Hundredths: 0.05 - 0.06 = _____ (Need to regroup!)

🧮 Part 3: Regrouping Practice

7. Solve using partitioning with regrouping:

15.23 - 7.68

8. Which of these problems will need regrouping? Check all that apply:

8.45 - 3.21

6.32 - 2.47

9.76 - 4.89

7.84 - 5.62

💰 Part 4: Real-Life Problems

9. Sarah had $25.75. She bought a book for $12.48. How much money does she have left?

Estimate first: $26 - $12 = $_____ (approximately)

Exact answer: $_____

10. A piece of rope was 8.65 metres long. Tom cut off 3.78 metres. How much rope is left?

Answer: _____ metres

11. The temperature was 18.7°C in the morning. It dropped by 5.9°C by evening. What was the evening temperature?

Answer: _____°C

✅ Part 5: Check Your Understanding

12. Explain in your own words how to use partitioning to subtract decimals:
13. Match the problem with the correct partitioned form:
1. 14.56 - 9.23
2. 7.84 - 2.67
3. 11.35 - 6.18
A. (7+0.8+0.04) - (2+0.6+0.07)
B. (11+0.3+0.05) - (6+0.1+0.08)
C. (14+0.5+0.06) - (9+0.2+0.03)
14. Create your own decimal subtraction problem and solve it using partitioning:

My problem: _______ - _______ = _______

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