What is Place Value?

Place value tells us what a digit in a number means based on its position. In our number system, each position represents a different value. For example, in the number 345:

  • The digit 3 is in the hundreds place, which means it stands for 300.
  • The digit 4 is in the tens place, which means it stands for 40.
  • The digit 5 is in the ones place, which means it stands for 5.

So, 345 means 300 + 40 + 5!

Key Points to Remember

  • Each place value is ten times bigger than the place to its right.
  • The places from right to left are: ones, tens, hundreds, thousands, and so on.

Tips and Tricks

  • When you see a digit, think about its place. Ask yourself: “What place is this digit in?”
  • Use counters, blocks, or drawings to represent different place values. This can help you visualise the numbers better.
  • Remember the phrase: “Each place is ten times more than the one before it!”

Examples of Place Value

Let’s look at a few numbers:

  1. 2345
    • 2 is in the thousands place = 2000
    • 3 is in the hundreds place = 300
    • 4 is in the tens place = 40
    • 5 is in the ones place = 5
    • Total: 2000 + 300 + 40 + 5 = 2345
  2. 678
    • 6 is in the hundreds place = 600
    • 7 is in the tens place = 70
    • 8 is in the ones place = 8
    • Total: 600 + 70 + 8 = 678

Practice Questions

Easy Level Questions (20)

  1. What is the place value of 5 in 45?
  2. What is the place value of 2 in 72?
  3. What digit is in the tens place of 93?
  4. What is the place of 4 in 241?
  5. Write the value of 3 in 303.
  6. What is the place value of 9 in 189?
  7. What digit is in the hundreds place of 450?
  8. What is the place value of 6 in 56?
  9. What digit is in the ones place of 72?
  10. Write the value of 1 in 401.
  11. What is the place value of 7 in 87?
  12. What digit is in the tens place of 65?
  13. What is the place value of 3 in 30?
  14. What is the place of 0 in 105?
  15. Write the value of 8 in 58.
  16. What digit is in the hundreds place of 200?
  17. What is the place value of 5 in 15?
  18. What is the place of 2 in 220?
  19. Write the value of 4 in 641.
  20. What is the place value of 1 in 19?

Medium Level Questions (20)

  1. What is the place value of 9 in 495?
  2. What is the total value of the number 1234?
  3. Write the digits in the correct place value: 500 + 80 + 7.
  4. What is the place value of 4 in 740?
  5. What digit is in the thousands place of 5021?
  6. What is the place value of 6 in 86?
  7. Write the value of 2 in 92.
  8. What is the total value of the number 507?
  9. What digit is in the ones place of 1234?
  10. What is the place value of 1 in 1001?
  11. Write the digits in the correct place value: 2000 + 500 + 30 + 6.
  12. What is the place value of 5 in 65?
  13. What digit is in the hundreds place of 1650?
  14. What is the total value of the number 346?
  15. What is the place value of 3 in 732?
  16. What digit is in the tens place of 482?
  17. What is the place value of 0 in 305?
  18. Write the value of 7 in 87.
  19. What is the place value of 2 in 720?
  20. What digit is in the thousands place of 2023?

Hard Level Questions (20)

  1. What is the place value of 8 in 9847?
  2. Write the total value of the number 2506.
  3. What digit is in the tens place of 7643?
  4. What is the place value of 9 in 789?
  5. Write the digits in the correct place value: 3000 + 400 + 50 + 8.
  6. What is the place value of 6 in 2684?
  7. What digit is in the hundreds place of 1432?
  8. What is the place value of 4 in 547?
  9. Write the total value of the number 8123.
  10. What is the place value of 7 in 6721?
  11. What digit is in the ones place of 4910?
  12. What is the place value of 5 in 3054?
  13. Write the digits in the correct place value: 2000 + 300 + 40 + 9.
  14. What is the total value of the number 5067?
  15. What is the place value of 3 in 9234?
  16. What digit is in the thousands place of 8564?
  17. What is the place value of 0 in 502?
  18. Write the value of 2 in 4201.
  19. What is the place value of 1 in 1583?
  20. What digit is in the hundreds place of 9900?

Answers

Easy Level Answers

  1. 5 (ones)
  2. 2 (tens)
  3. 9 (tens)
  4. 4 (tens)
  5. 3 (three hundred)
  6. 9 (hundreds)
  7. 4 (hundreds)
  8. 6 (tens)
  9. 2 (ones)
  10. 1 (hundreds)
  11. 7 (tens)
  12. 6 (tens)
  13. 3 (tens)
  14. 0 (hundreds)
  15. 8 (tens)
  16. 2 (hundreds)
  17. 5 (ones)
  18. 2 (hundreds)
  19. 4 (hundreds)
  20. 1 (ones)

Medium Level Answers

  1. 9 (hundreds)
  2. 1234 (1000 + 200 + 30 + 4)
  3. 587 (5 in hundreds, 8 in tens, 7 in ones)
  4. 4 (hundreds)
  5. 5 (thousands)
  6. 6 (tens)
  7. 2 (tens)
  8. 507 (500 + 7)
  9. 4 (thousands)
  10. 1 (thousands)
  11. 2536 (2000 + 500 + 30 + 6)
  12. 5 (ones)
  13. 1 (hundreds)
  14. 346 (300 + 40 + 6)
  15. 3 (hundreds)
  16. 8 (tens)
  17. 0 (hundreds)
  18. 7 (tens)
  19. 2 (hundreds)
  20. 2 (thousands)

Hard Level Answers

  1. 8 (thousands)
  2. 2506 (2000 + 500 + 6)
  3. 6 (hundreds)
  4. 9 (hundreds)
  5. 3848 (3000 + 800 + 40 + 8)
  6. 6 (thousands)
  7. 4 (hundreds)
  8. 4 (hundreds)
  9. 8123 (8000 + 100 + 20 + 3)
  10. 7 (thousands)
  11. 0 (ones)
  12. 5 (hundreds)
  13. 2349 (2000 + 300 + 40 + 9)
  14. 5067 (5000 + 60 + 7)
  15. 3 (thousands)
  16. 8 (thousands)
  17. 0 (hundreds)
  18. 2 (thousands)
  19. 1 (thousands)
  20. 9 (hundreds)

Now, let’s practice! Remember to think about the position of each digit and what it represents. Happy learning!