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Addition Algorithms Practice

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Addition Algorithms Practice

Addition Algorithms Practice

Students solving maths problems

📊 Part 1: Place Value and Vertical Addition

1. Use the vertical-column method to solve these addition problems. Show all your working.

a) 234 + 165 = _______

b) 567 + 298 = _______

c) 1,456 + 2,387 = _______

2. Break down these numbers using place value. The first one is done for you.

Example: 456 = 400 + 50 + 6

a) 789 = _____ + _____ + _____

b) 2,345 = _____ + _____ + _____ + _____

c) 6,127 = _____ + _____ + _____ + _____

🔄 Part 2: Addition with Regrouping (Carrying)

3. Solve these addition problems that require regrouping. Circle where you need to carry over.

a) 478 + 365 = _______

b) 1,847 + 2,695 = _______

c) 3,968 + 1,579 = _______

4. Explain in your own words why we need to "carry over" in addition.

📈 Part 3: Estimation and Checking

5. Before solving each problem, estimate the answer by rounding to the nearest hundred. Then solve using the vertical-column method.

a) 456 + 789

Estimate: _____ + _____ = _____

Actual answer: _____

b) 2,134 + 1,867

Estimate: _____ + _____ = _____

Actual answer: _____

6. Check your answer to question 5a by using subtraction (inverse operation).

💰 Part 4: Real-Life Applications

7. Sarah is saving money for a new bike. She has $1,245 in her savings account and receives $387 for her birthday. How much money does she have now?

Estimate: $ _____

Answer: $ _____

8. A school is organising a fun run. On Monday, 1,456 students signed up. On Tuesday, another 789 students registered. On Wednesday, 234 more students joined. How many students are participating in total?

Estimate: _____ students

Answer: _____ students

9. The local library counted their books. They have 2,567 fiction books, 1,834 non-fiction books, and 456 reference books. What is the total number of books?

Estimate: _____ books

Answer: _____ books

🎯 Part 5: Algorithm Mastery Challenge

10. Choose the correct answer for each addition problem:

a) 3,456 + 2,789 = ?

6,145

6,245

6,235

5,245

b) 5,967 + 3,458 = ?

9,425

9,325

8,425

9,415

11. Which strategies help you solve addition problems accurately? Tick all that apply:

Lining up digits by place value

Starting from the ones column

Estimating first to check reasonableness

Carrying over when a column total exceeds 9

Using subtraction to check answers

12. Explain the steps you follow when using the vertical-column addition method:

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