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Addition Algorithms Mastery

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Addition Algorithms Mastery

Addition Algorithms Mastery

Students working with addition algorithms

🔢 Part 1: Place Value Understanding

1. Decompose these numbers into place value parts:

a) 456 = _______ + _______ + _______

b) 1,847 = _______ + _______ + _______ + _______

c) 2,305 = _______ + _______ + _______ + _______

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

In 3,467, the digit 4 is in the:

ones place

tens place

hundreds place

thousands place

3. Write these numbers in expanded form:

a) 2,894 = _________________________________

b) 5,067 = _________________________________

➕ Part 2: Vertical Column Addition

4. Solve these addition problems using the vertical column method. Show all your working:
5. Complete these addition problems with regrouping:
6. Estimate first, then calculate the exact answer:

a) 347 + 186

Estimate: _______ + _______ = _______

Exact calculation:

b) 1,456 + 789

Estimate: _______ + _______ = _______

Exact calculation:

🔄 Part 3: Understanding Regrouping

7. Explain why we need to regroup when adding 468 + 379:
8. Check all the addition problems that will require regrouping:

234 + 152

467 + 285

123 + 304

578 + 196

345 + 421

9. Complete this regrouping example step by step:

2 5 7

+ 1 8 6

_______

Step 1: Add the ones: 7 + 6 = _____ Write _____ carry _____

Step 2: Add the tens: 5 + 8 + _____ = _____ Write _____ carry _____

Step 3: Add the hundreds: 2 + 1 + _____ = _____

Final answer: _______

🛒 Part 4: Real-Life Applications

10. Shopping Problem: Sarah is buying school supplies. Calculate the total cost:

• Backpack: $47

• Stationery set: $28

• Calculator: $35

• Art supplies: $19

Show your working using the vertical column method:

Total cost: $________

11. Sports Day Problem: Three classes collected donations for charity:

• Class 7A collected $284

• Class 7B collected $356

• Class 7C collected $198

a) Estimate the total: _______

b) Calculate the exact total:

c) Check your answer using subtraction:

12. Explain how you would check if your addition answer is reasonable:

🎯 Part 5: Challenge Problems

13. Multi-step Problem: A school is organising a fundraiser. They need to add up donations from different sources:

• Week 1: $1,247

• Week 2: $896

• Week 3: $1,358

• Week 4: $679

a) First, add Week 1 and Week 2:

b) Then add Week 3 and Week 4:

c) Finally, add your two subtotals:

Total fundraising amount: $________

14. Create your own addition word problem involving money and solve it:

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