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Place Value Addition Partitioning

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Place Value Addition Partitioning

Place value blocks showing thousands, hundreds, tens and units

📚 Part 1: Number Partitioning

1. Partition these numbers into thousands, hundreds, tens and units:

Example: 7840 = 7000 + 800 + 40 + 0

a) 5632 = _______ + _______ + _______ + _______

b) 2485 = _______ + _______ + _______ + _______

c) 9103 = _______ + _______ + _______ + _______

d) 4076 = _______ + _______ + _______ + _______

2. Circle the correct partitioning for 6829:

6000 + 800 + 20 + 9

600 + 80 + 2 + 9

6000 + 829

6829 + 0

✏️ Part 2: Addition Using Partitioning

3. Use partitioning to solve: 3642 + 2135

Partition the first number: 3642 = _____ + _____ + _____ + _____

Partition the second number: 2135 = _____ + _____ + _____ + _____

Add thousands: _____ + _____ = _____

Add hundreds: _____ + _____ = _____

Add tens: _____ + _____ = _____

Add units: _____ + _____ = _____

Final answer: _____ + _____ + _____ + _____ = _____

4. Solve using partitioning: 5847 + 1692
5. Before calculating, estimate the answer to 4321 + 2876 by rounding to the nearest thousand:

4321 rounds to _______ and 2876 rounds to _______

My estimate: _______ + _______ = _______

Now calculate the exact answer using partitioning:

🤔 Part 3: Problem Solving

7. Explain in your own words why partitioning helps make addition easier:
8. Challenge: Use partitioning to add three numbers: 2143 + 1526 + 3214

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