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Multi-Digit Addition Carrying

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Multi-Digit Addition Carrying

Multi-Digit Addition Carrying

Addition with carrying illustration

🔢 Part 1: Understanding Carrying

1. Look at this addition problem: 47 + 36. Circle the correct explanation for why we need to carry:

Because 7 + 6 = 13, which is more than 9, so we carry 1 ten to the tens column

Because we always carry in addition

Because 4 + 3 = 7

Because the numbers are too big

2. Complete this addition problem by showing your working step by step:

Problem: 58 + 27 = _______

Step 1: Add the ones: 8 + 7 = _______

Step 2: Carry _______ to the tens column

Step 3: Add the tens: 5 + 2 + _______ = _______

Final answer: _______

📊 Part 2: Place Value Practice

3. Solve these addition problems. Show your carrying clearly:

a) 146 + 78 = _______

b) 259 + 167 = _______

c) 384 + 249 = _______

4. Which of these problems will require carrying? Check all that apply:

23 + 45

67 + 28

134 + 52

456 + 387

201 + 108

🎯 Part 3: Estimation and Checking

5. For each problem, first estimate by rounding to the nearest ten, then solve exactly:

Problem A: 347 + 186

Estimate: 350 + 190 = _______

Exact answer: _______

Is your exact answer reasonable? _______

Problem B: 578 + 294

Estimate: _______ + _______ = _______

Exact answer: _______

Is your exact answer reasonable? _______

6. Check your answer to Problem A (347 + 186) using subtraction:

If 347 + 186 = _______, then _______ - 186 should equal 347

Check: _______ - 186 = _______

Is your addition correct? _______

🧮 Part 4: Real-World Problems

7. The school is organising a fundraiser. Year 7 raised $348 and Year 8 raised $267. How much money did they raise altogether?

Estimation: $_______ + $_______ = approximately $_______

Exact calculation:

Total amount raised: $_______

8. A delivery truck travels 458 kilometres on Monday and 376 kilometres on Tuesday. What is the total distance travelled over the two days?

Total distance: _______ kilometres

9. Explain in your own words why we carry when adding multi-digit numbers:

🎨 Part 5: Challenge Problems

10. Solve these challenging addition problems that require multiple carries:

a) 1,847 + 2,695 = _______

b) 3,456 + 1,789 = _______

c) 2,938 + 4,567 = _______

11. Create your own addition problem that requires carrying in both the ones and tens places:

_______ + _______ = _______

Explain why your problem requires carrying in both places:

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