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Place Value Tidy Numbers

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Place Value Tidy Numbers

Place Value Tidy Numbers

Place value blocks illustration

🔢 Part 1: Understanding Place Value

1. Write the value of each digit in these numbers:

Example: 4,567 = 4,000 + 500 + 60 + 7

a) 3,248 = _______ + _______ + _______ + _______

b) 7,105 = _______ + _______ + _______ + _______

c) 12,639 = _______ + _______ + _______ + _______ + _______

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

In 5,472, the 4 represents:

4 ones

4 tens

4 hundreds

4 thousands

➕ Part 2: Adding Tidy Numbers

3. Solve these addition problems using place value:

a) 3,000 + 400 + 20 + 5 = _______

b) 6,000 + 200 + 80 + 7 + 1,000 + 100 + 10 + 2 = _______

c) 4,567 + 2,321 = _______

4. Show your working for this problem both horizontally and vertically:

Problem: 5,234 + 3,451

➖ Part 3: Subtracting Tidy Numbers

5. Solve these subtraction problems:

a) 8,000 - 3,000 = _______

b) 7,456 - 2,234 = _______

c) 10,000 - 4,567 = _______

6. Word problem:

A school has 4,567 books in their library. They buy 1,234 more books. How many books do they have altogether?

Answer: _______ books

🎯 Part 4: Rounding and Estimation

7. Round these numbers to the nearest 10, 100, and 1,000:
Number Nearest 10 Nearest 100 Nearest 1,000
3,276 _______ _______ _______
8,432 _______ _______ _______
8. Use estimation to check if these answers are reasonable:

4,567 + 3,234 = 7,801

Reasonable

Not reasonable

Explain your thinking: ________________________________

🧠 Part 5: Challenge Problems

9. Extension problem with ten thousands:

A city has a population of 23,456 people. During the year, 4,567 people move to the city and 1,234 people move away. What is the new population?

Answer: _______ people

10. Check all the strategies you could use to solve 6,789 + 2,345:

Break apart by place value

Use a number line

Column addition

Estimate first, then calculate

11. Explain your thinking:

How does understanding place value help you add and subtract large numbers?

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