Difference Between Place Value and Face Value: Meaning, Examples & Practice Questions

Understanding the difference between place value and face value helps students read, write, and compare numbers correctly. While the face value of a digit is the digit itself, its place value depends on its position in the number. Learning these concepts builds a strong foundation for addition, subtraction, expanded form, and other number concepts.

In this article, you'll learn the meaning of place value and face value, their differences, solved examples, comparison tables, and practice questions to strengthen your number skills.

Table of Contents

• What is Place Value?
• What is Face Value?
• Quick Difference Between Place Value and Face Value
• Place Value and Face Value Class 2
• Place Value and Face Value Class 3
• Why Is Understanding Place Value and Face Value Important?
• Difference Between Place Value and Face Value
• Visualizing Place Value with Columns
• Common Misconceptions
• Solved Examples - Face Value and Place Value
• Practice Questions on Difference Between Place Value and Face Value
  
  
• Frequently Asked Questions on Difference Between Place Value and Face Value

What is Place Value?

The place value of a digit tells us the actual value of the digit depending on its position in the number.

Formula:

Place Value = Digit × Value of its Position

Examples:

• In 573, the digit 7 is in the tens place, so its place value is 70.
• In 5432, the digit 4 is in the hundreds place, so its place value is 400.
• In 93207, the digit 2 is in the hundreds place, so its place value is 200.

The same digit can have different place values in different numbers.

 

What is Face Value?

The face value of a digit is the digit itself, regardless of its position in the number.

Example:

In the number 573:

• Face value of 5 = 5
• Face value of 7 = 7
• Face value of 3 = 3

The face value never changes.

More Examples:

• In 93207, the face value of 2 is 2.
• In 4021, the face value of 0 is 0.
• In 5432, the face value of 4 is 4.
  
  

Quick Difference Between Place Value and Face Value

Face Value	Place Value
The digit itself	Digit × position value
Does not change	Changes with position
Example: 4	Example: 400

Place Value and Face Value Class 2

In Class 2 maths, students learn about:

• ones,
• tens,
• hundreds,
• simple place values.

Example:

In 345:

• Face value of 4 = 4
• Place value of 4 = 40

This helps students understand how positions change the value of digits.

Place Value and Face Value Class 3

In Class 3 maths, students learn larger numbers and expanded forms.

Example:

In 5628:

• Face value of 6 = 6
• Place value of 6 = 600

Students also practice:

• place value charts,
• expanded forms,
• digit positions,
• number breakdowns.

Why Is Understanding Place Value and Face Value Important?

Understanding place value and face value helps students:

• read large numbers correctly,
• perform addition and subtraction easily,
• understand expanded forms,
• improve mental maths skills,
• develop strong number sense.

For example, in the number 432:

• 4 means 400,
• 3 means 30,
• 2 means 2.

This understanding makes calculations easier.

Difference Between Place Value and Face Value

Feature	Face Value	Place Value
Meaning	The digit itself	Digit × position value
Depends on Position?	No	Yes
Changes with Position?	No	Yes
Example in 5432	Face value of 4 = 4	Place value of 4 = 400
Another Example	Face value of 5 = 5	Place value of 5 = 5000

 

Visualizing Place Value with Columns

Place value charts help students understand digit positions clearly.

Thousands	Hundreds	Tens	Ones
7	3	2	1

This means:

• 7 → 7000
• 3 → 300
• 2 → 20
• 1 → 1
  
  

Common Misconceptions

Many students think place value and face value are the same. However, they are different.

Example 1: Number = 100

• Face value of 1 = 1
• Place value of 1 = 100

Example 2: Number = 9003

• Face value of 9 = 9
• Place value of 9 = 9000

Remember:

Same digit + different position = different place value

Solved Examples - Face Value and Place Value

Example 1: Find the place value of each digit in 7321.

Solution:

• Place value of 7 = 7000
• Place value of 3 = 300
• Place value of 2 = 20
• Place value of 1 = 1
  
  

Example 2: Find the face value and place value of 8 in 2853.

Solution:

• Face value of 8 = 8
• Place value of 8 = 800
  
  

Example 3: Find the face value and place value of 5 in 665840.

Solution:

• Face value of 5 = 5
• Place value of 5 = 5000

This shows that face value remains the same, while place value changes with position.

Example 4: What is the face value of 2 in 93207?

Solution:

The face value of 2 is simply 2.

Its place value is 200 because it is in the hundreds place.

Example 5: What is the place value of 4 in 5432?

Solution:

The digit 4 is in the hundreds place.

Place value of 4 = 4 × 100 = 400

Face value of 4 = 4

Practice Questions on Difference Between Place value and Face Value

1. Find the face value of 7 in 573.
2. Find the place value of 4 in 5432.
3. Find the face value of 2 in 93207.
4. Find the place value of 5 in 6543.
5. Find the face value of 9 in 9003.
6. Find the place value of 6 in 5628.
7. Find the face value and place value of 8 in 2853.
8. Find the place value of 3 in 4312.
9. Find the face value of 0 in 5040.
10. Find the place value of 2 in 7251.

Answers to Practice Questions

1. Face value = 7
2. Place value = 400
3. Face value = 2
4. Place value = 5000
5. Face value = 9
6. Place value = 600
7. Face value = 8, Place value = 800
8. Place value = 300
9. Face value = 0
10. Place value = 200

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