🔢 Part 1: Place Value Understanding

1. Break down these numbers into place value parts (hundreds + tens + ones):

a) 456 = _______ + _______ + _______

b) 789 = _______ + _______ + _______

c) 923 = _______ + _______ + _______

2. Circle the correct place value for the underlined digit:

In the number 347, the digit 4 represents:

4 ones

4 tens

4 hundreds

3. Write these numbers in expanded form:

a) 2,468 = _______ + _______ + _______ + _______

b) 5,039 = _______ + _______ + _______ + _______

➕ Part 2: Vertical Column Addition

4. Solve these addition problems using the vertical column method. Show all your working:

a) 234 + 156 = _______

b) 467 + 328 = _______

c) 589 + 247 = _______

5. Estimate first, then calculate:

a) 392 + 178

Estimate (round to nearest 100): _______ + _______ = _______

Exact answer: _______

6. Check if these addition problems are correct. Tick ✓ if correct, cross ✗ if incorrect:

a) 245 + 167 = 412

b) 389 + 156 = 545

c) 478 + 239 = 717

🔄 Part 3: Addition with Regrouping (Carrying)

7. Complete these addition problems that require regrouping. Show your carrying clearly:

a) 468 + 379 = _______

b) 597 + 248 = _______

c) 786 + 159 = _______

8. Explain why we need to "carry" in addition:

9. Circle the problems that will need regrouping (carrying):

234 + 125

456 + 378

123 + 456

789 + 156

🛒 Part 4: Real-Life Applications

10. Shopping at the supermarket: Sarah buys groceries costing $47, $29, and $38. What is the total cost?

Estimate: _______

Exact total: $ _______

11. School fundraiser: Class 7A raised $468 and Class 7B raised $395. How much did they raise altogether?

Total raised: $ _______

12. Distance problem: On a school trip, the bus travels 156 kilometres in the morning and 248 kilometres in the afternoon. What is the total distance travelled?

Total distance: _______ kilometres

13. Check your answer to question 12 using subtraction:

_______ - 156 = _______ ✓

_______ - 248 = _______ ✓

🎯 Part 5: Challenge Problems

14. Four-digit addition with multiple regrouping:

a) 2,847 + 1,695 = _______

b) 3,578 + 2,967 = _______

15. Multi-step problem: A school has 1,247 students. If 389 new students enrol and 156 students leave, how many students are there now?

Step 1: Add new students: 1,247 + 389 = _______

Step 2: Subtract students who left: _______ - 156 = _______

Final answer: _______ students

16. Reflection: Which addition strategy do you find most helpful and why?

Addition Algorithms Mastery

Addition Algorithms Mastery

🔢 Part 1: Place Value Understanding

➕ Part 2: Vertical Column Addition

🔄 Part 3: Addition with Regrouping (Carrying)

🛒 Part 4: Real-Life Applications

🎯 Part 5: Challenge Problems

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