What Are Place Values?

Place value is the value of each digit in a number, determined by its position within the number. Each position in a number has a different place value, and the value increases tenfold as you move to the left.

For example, in the number 2,345:

• The digit 2 is in the thousands place and represents 2,000.
• The digit 3 is in the hundreds place and represents 300.
• The digit 4 is in the tens place and represents 40.
• The digit 5 is in the ones place and represents 5.

Understanding place values is fundamental for working with large numbers, performing calculations, and recognising number patterns.

Place Value Chart

In the number 2,345, the digit 2 represents 2,000 (thousands), 3 represents 300 (hundreds), 4 represents 40 (tens), and 5 represents 5 (ones).

Why Is Place Value Important?

Place value helps us understand the size of numbers and perform arithmetic operations such as addition, subtraction, multiplication, and division. It also plays a crucial role in rounding numbers and estimating.

Practice Questions: Place Values in Whole Numbers

Easy Level Questions

1. What is the place value of the digit 7 in the number 7,892?
2. In the number 5,236, what is the place value of the digit 3?
3. Write the number 4,569 in expanded form.
4. What is the place value of the digit 2 in the number 12,345?
5. In the number 9,801, what is the value of the digit 9?
6. What is the value of the digit 6 in the number 6,542?
7. In the number 3,217, what is the place value of the digit 1?
8. Write the number 2,490 in expanded form.
9. What is the place value of the digit 5 in the number 5,000?
10. In the number 8,432, what is the value of the digit 4?
11. What is the value of the digit 9 in the number 19,876?
12. In the number 7,654, what is the place value of the digit 6?
13. Write the number 3,405 in expanded form.
14. What is the place value of the digit 8 in the number 28,734?
15. In the number 4,321, what is the value of the digit 3?
16. What is the place value of the digit 1 in the number 10,450?
17. Write the number 6,007 in expanded form.
18. What is the value of the digit 7 in the number 57,890?
19. In the number 2,340, what is the place value of the digit 4?
20. Write the number 9,100 in expanded form.

Medium Level Questions

1. What is the place value of the digit 4 in the number 54,389?
2. In the number 12,875, what is the value of the digit 2?
3. Write the number 78,903 in expanded form.
4. What is the place value of the digit 9 in the number 139,678?
5. In the number 5,024, what is the value of the digit 5?
6. What is the value of the digit 3 in the number 3,984?
7. In the number 83,742, what is the place value of the digit 7?
8. Write the number 60,408 in expanded form.
9. What is the place value of the digit 5 in the number 75,201?
10. In the number 24,935, what is the value of the digit 9?
11. What is the place value of the digit 1 in the number 401,256?
12. Write the number 102,504 in expanded form.
13. What is the value of the digit 8 in the number 98,673?
14. In the number 17,420, what is the place value of the digit 4?
15. Write the number 85,039 in expanded form.
16. What is the place value of the digit 6 in the number 6,342?
17. In the number 92,315, what is the value of the digit 3?
18. Write the number 34,008 in expanded form.
19. What is the place value of the digit 7 in the number 17,682?
20. In the number 81,049, what is the value of the digit 1?

Hard Level Questions

1. What is the place value of the digit 2 in the number 204,567?
2. In the number 563,120, what is the value of the digit 6?
3. Write the number 123,456 in expanded form.
4. What is the place value of the digit 9 in the number 987,654?
5. In the number 1,234,987, what is the value of the digit 4?
6. What is the place value of the digit 7 in the number 7,654,321?
7. In the number 54,321,098, what is the value of the digit 1?
8. Write the number 900,301 in expanded form.
9. What is the place value of the digit 5 in the number 25,800?
10. In the number 1,098,765, what is the value of the digit 9?
11. What is the place value of the digit 3 in the number 3,009,876?
12. Write the number 4,000,502 in expanded form.
13. What is the value of the digit 6 in the number 16,345,780?
14. In the number 2,500,904, what is the place value of the digit 5?
15. Write the number 70,001,008 in expanded form.
16. What is the place value of the digit 9 in the number 9,876,543?
17. In the number 50,004,020, what is the value of the digit 4?
18. Write the number 230,089,100 in expanded form.
19. What is the place value of the digit 7 in the number 7,030,202?
20. In the number 8,567,432, what is the value of the digit 5?

Answers with Explanation

Easy Level Answers

1. Answer: $$7,000$$
   Explanation: The digit 7 is in the thousands place, so its value is 7,000.
2. Answer: $$30$$
   Explanation: The digit 3 is in the tens place, so its value is 30.
3. Answer: $$4,000 + 500 + 60 + 9$$
   Explanation: Break the number into its place values.
4. Answer: $$2,000$$
   Explanation: The digit 2 is in the thousands place, so its value is 2,000.
5. Answer: $$9,000$$
   Explanation: The digit 9 is in the thousands place, so its value is 9,000.
6. Answer: $$6,000$$
   Explanation: The digit 6 is in the thousands place, so its value is 6,000.
7. Answer: $$10$$
   Explanation: The digit 1 is in the tens place, so its value is 10.
8. Answer: $$2,000 + 400 + 90$$
   Explanation: Break the number into its place values.
9. Answer: $$5,000$$
   Explanation: The digit 5 is in the thousands place, so its value is 5,000.
10. Answer: $$400$$
    Explanation: The digit 4 is in the hundreds place, so its value is 400.
11. Answer: $$9,000$$
    Explanation: The digit 9 is in the thousands place, so its value is 9,000.
12. Answer: $$600$$
    Explanation: The digit 6 is in the hundreds place, so its value is 600.
13. Answer: $$3,000 + 400 + 5$$
    Explanation: Break the number into its place values.
14. Answer: $$8,000$$
    Explanation: The digit 8 is in the thousands place, so its value is 8,000.
15. Answer: $$300$$
    Explanation: The digit 3 is in the hundreds place, so its value is 300.
16. Answer: $$10,000$$
    Explanation: The digit 1 is in the ten thousands place, so its value is 10,000.
17. Answer: $$6,000 + 7$$
    Explanation: Break the number into its place values.
18. Answer: $$70,000$$
    Explanation: The digit 7 is in the ten thousands place, so its value is 70,000.
19. Answer: $$40$$
    Explanation: The digit 4 is in the tens place, so its value is 40.
20. Answer: $$9,000 + 100$$
    Explanation: Break the number into its place values.

Medium Level Answers

1. Answer: $$4,000$$
   Explanation: The digit 4 is in the thousands place, so its value is 4,000.
2. Answer: $$200$$
   Explanation: The digit 2 is in the hundreds place, so its value is 200.
3. Answer: $$70,000 + 8,000 + 900 + 3$$
   Explanation: Break the number into its place values.
4. Answer: $$90,000$$
   Explanation: The digit 9 is in the ten thousands place, so its value is 90,000.
5. Answer: $$5,000$$
   Explanation: The digit 5 is in the thousands place, so its value is 5,000.
6. Answer: $$3,000$$
   Explanation: The digit 3 is in the thousands place, so its value is 3,000.
7. Answer: $$700$$
   Explanation: The digit 7 is in the hundreds place, so its value is 700.
8. Answer: $$60,000 + 400 + 8$$
   Explanation: Break the number into its place values.
9. Answer: $$5,000$$
   Explanation: The digit 5 is in the thousands place, so its value is 5,000.
10. Answer: $$900$$
    Explanation: The digit 9 is in the hundreds place, so its value is 900.
11. Answer: $$100,000$$
    Explanation: The digit 1 is in the hundred thousands place, so its value is 100,000.
12. Answer: $$100,000 + 2,000 + 500 + 4$$
    Explanation: Break the number into its place values.
13. Answer: $$80,000$$
    Explanation: The digit 8 is in the ten thousands place, so its value is 80,000.
14. Answer: $$400$$
    Explanation: The digit 4 is in the hundreds place, so its value is 400.
15. Answer: $$80,000 + 5,000 + 30 + 9$$
    Explanation: Break the number into its place values.
16. Answer: $$6,000$$
    Explanation: The digit 6 is in the thousands place, so its value is 6,000.
17. Answer: $$300$$
    Explanation: The digit 3 is in the hundreds place, so its value is 300.
18. Answer: $$30,000 + 8$$
    Explanation: Break the number into its place values.
19. Answer: $$7,000$$
    Explanation: The digit 7 is in the thousands place, so its value is 7,000.
20. Answer: $$1,000$$
    Explanation: The digit 1 is in the thousands place, so its value is 1,000.

Hard Level Answers

1. Answer: $$200,000$$
   Explanation: The digit 2 is in the hundred thousands place, so its value is 200,000.
2. Answer: $$60,000$$
   Explanation: The digit 6 is in the ten thousands place, so its value is 60,000.
3. Answer: $$100,000 + 20,000 + 3,000 + 400 + 50 + 6$$
   Explanation: Break the number into its place values.
4. Answer: $$900,000$$
   Explanation: The digit 9 is in the hundred thousands place, so its value is 900,000.
5. Answer: $$4,000$$
   Explanation: The digit 4 is in the thousands place, so its value is 4,000.
6. Answer: $$7,000,000$$
   Explanation: The digit 7 is in the millions place, so its value is 7,000,000.
7. Answer: $$1,000,000$$
   Explanation: The digit 1 is in the millions place, so its value is 1,000,000.
8. Answer: $$900,000 + 300 + 1$$
   Explanation: Break the number into its place values.
9. Answer: $$5,000$$
   Explanation: The digit 5 is in the thousands place, so its value is 5,000.
10. Answer: $$90,000$$
    Explanation: The digit 9 is in the hundred thousands place, so its value is 90,000.
11. Answer: $$3,000,000$$
    Explanation: The digit 3 is in the millions place, so its value is 3,000,000.
12. Answer: $$4,000,000 + 500 + 2$$
    Explanation: Break the number into its place values.
13. Answer: $$60,000,000$$
    Explanation: The digit 6 is in the ten millions place, so its value is 60,000,000.
14. Answer: $$500,000$$
    Explanation: The digit 5 is in the hundred thousands place, so its value is 500,000.
15. Answer: $$70,000,000 + 1,000 + 8$$
    Explanation: Break the number into its place values.
16. Answer: $$9,000,000$$
    Explanation: The digit 9 is in the millions place, so its value is 9,000,000.
17. Answer: $$4,000$$
    Explanation: The digit 4 is in the thousands place, so its value is 4,000.
18. Answer: $$200,000,000 + 30,000,000 + 89,000 + 100$$
    Explanation: Break the number into its place values.
19. Answer: $$7,000,000$$
    Explanation: The digit 7 is in the millions place, so its value is 7,000,000.
20. Answer: $$5,000,000$$
    Explanation: The digit 5 is in the millions place, so its value is 5,000,000.