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Place Value and Rounding

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Place Value and Rounding worksheet preview
Place Value and Rounding

Place Value and Rounding

Place value chart with numbers

📊 Part 1: Place Value Identification

1. Look at the number 5,847. What digit is in the hundreds place?

5

8

4

7

2. In the number 9,263, what is the value of the digit 2?

2

20

200

2,000

3. Which digit is in the thousands place in 7,519?

📝 Part 2: Expanded Form

4. Write 4,672 in expanded form:

4,672 = _______ + _______ + _______ + _______

5. Write 8,305 in expanded form:
6. What number is shown in expanded form: 6,000 + 400 + 90 + 3?

🎯 Part 3: Rounding Numbers

7. Round 3,847 to the nearest hundred:

3,800

3,900

4,000

3,850

8. Round 5,629 to the nearest thousand:
9. Round these numbers:

a) Round 2,456 to the nearest ten: __________

b) Round 7,834 to the nearest hundred: __________

c) Round 9,275 to the nearest thousand: __________

10. Circle all the numbers that round to 4,000 when rounded to the nearest thousand:

3,499

3,678

4,321

4,567

3,501

➕ Part 4: Multi-Digit Addition and Subtraction

11. Solve 2,456 + 1,378 using place value strategies. Show your work:
12. Solve 5,842 - 2,657. Show your work:
13. Add by place value: 3,245 + 1,689

Thousands: _____ + _____ = _____

Hundreds: _____ + _____ = _____

Tens: _____ + _____ = _____

Ones: _____ + _____ = _____

Final Answer: __________

🧩 Part 5: Word Problems

14. A school has 2,847 students. If 1,256 more students enroll, how many students will the school have in total? Round your answer to the nearest hundred.

Answer: __________ students

15. The library had 6,543 books. They donated 2,178 books to other schools. How many books does the library have left?

Answer: __________ books

16. Match each number with its correct expanded form:
1. 4,926
2. 7,305
3. 8,047
A. 8,000 + 40 + 7
B. 4,000 + 900 + 20 + 6
C. 7,000 + 300 + 5

🎨 Part 6: Challenge Problems

17. Explain in your own words why the digit 5 in 5,432 has a different value than the digit 5 in 1,357:
18. Create your own 4-digit number and write it three different ways:

Standard form: __________

Expanded form: ________________________________

Word form: ________________________________

19. If you round a number to the nearest hundred and get 2,400, what is the smallest number it could have been? What is the largest?

Smallest: __________

Largest: __________

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