Difference Between Place Value and Face Value

Knowing the difference between place value and face value deepens our knowledge of how numbers function in reality. We deal with numbers every day while measuring something, reading the price tags of products, or even counting toys. Each digit within a number has a specific value associated with it based on its position. This is why we need to learn two very important concepts in mathematics: place value and face value. Although they sound alike, place value and face value are very different. 

This blog aims to explain these concepts in a simple manner, making them easy to understand for anyone, be it a school student or a math beginner. So, let's start learning more about numbers, their place value and face value along with their functions and significance.

 

Table of Contents

• What is Face Value?
• What is Place Value?
• Why Is Understanding Place Value and Face Value Important?
• Difference Between Place Value and Face Value
• Real-Life Examples of Place Value and Face Value
• Special Case: Face Value of Zero
• Visualizing Place Value with Columns
• Common Confusions Cleared
• Activities for Kids: Practice Place and Face Value
• Conclusion
• FAQs On the Difference Between Place Value and Face Value

 

What is Face Value?

The face value of a digit is the digit itself, without considering where it is located in the number. It’s like the name of a person; it doesn’t change, no matter where that person goes.

Let’s look at a few examples to understand this better:

• In the number 573, the face value of 7 is 7.

• In 4021, the face value of 0 is 0.

• In 93207, the face value of 2 is simply 2.

No matter whether the number is big or small, the face value of a digit is always just the digit itself. It does not depend on its place or position.

Key Point:

Face value = the digit itself (no multiplication involved).

 

What is Place Value?

The place value of a digit tells us the actual value of that digit based on its place in the number. In other words, the place value changes depending on whether the digit is in the units, tens, hundreds, or thousands place.

Let’s use examples again to make this clear:

• In the number 573, the digit 7 is in the tens place. So its place value is 70 (7 × 10).

• In 4021, the digit 2 is in the tens place. Its place value is 20 (2 × 10).

• In 5432, the digit 4 is in the hundreds place. Its place value is 400 (4 × 100).

The place value tells us how much a digit is worth depending on its position. The same digit can have different place values in different numbers.

Key Point:

Place value = digit × value of its position.

 

Why Is Understanding Place Value & Face Value Important?

Knowing the difference between place value and face value helps you:

• Understand large numbers more easily.

• Break numbers into parts when solving addition and subtraction problems.

• Identify the real value of a digit depending on its place.

• Improve your number sense and make mental math easier.

For example, when solving a sum like 432 + 215, it's helpful to break the numbers into hundreds, tens, and ones. That’s only possible when you understand place value correctly.

If you only looked at the digits without knowing their positions, math problems would become very confusing!

 

Difference Between Place Value and Face Value

Here is a simple way to understand the difference between place value and face value using a comparison chart:

 

This chart helps highlight that the face value is constant, while the place value changes depending on the digit’s position in the number.

 

Real-Life Examples of Place Value and Face Value

Let’s take real numbers and break them down to see the place value and face value of each digit:

Number: 7321

• Digit 7

• Face value = 7

• Place value = 7000 (in thousands place)
  
  

• Digit 3

• Face value = 3

• Place value = 300 (in hundreds place)
  
  

• Digit 2

• Face value = 2

• Place value = 20 (in tens place)
  
  

• Digit 1

• Face value = 1

• Place value = 1 (in ones place)
  
  

This shows how each digit’s actual value changes with position, even though the digits themselves remain the same.

 

Special Case: Face Value of Zero

The face value of 0 is always 0, and its place value is also 0, no matter where it appears in a number.

For example:

In 5040,

• Face value of 0 = 0

• Place value of 0 = 0

Even though the zero might be in the hundreds or tens place, its value remains zero.

 

Visualizing Place Value with Columns

Sometimes it helps to use a chart to see the positions clearly:

 

This shows that:

• 7 is in the thousands place → 7000

• 3 is in the hundreds place → 300

• 2 is in the tens place → 20

• 1 is in the ones place → 1

Each digit has a place value depending on the column it sits in.

 

Common Confusions Cleared

Many students get confused and think that face value and place value are the same. Let’s clear that up with a few more examples.

Example 1: Number = 100

• Face value of 1 = 1

• Place value of 1 = 100

Here, 1 is in the hundreds place.

 

Example 2: Number = 9003

• Face value of 9 = 9

• Place value of 9 = 9000

Again, 9 is in the thousands place.

So remember: same digit, different place = different place value, but same face value.

Activities for Kids: Practice Place and Face Value

Here are a few fun activities to help kids master these concepts:

1. Digit Breakdown Game:
   Write numbers like 4521 or 6089 and ask kids to find the place and face value of each digit.

2. Place Value Match Cards:
   Create cards with digits and place values. Ask kids to match the correct digit with its place value.

3. Make Your Numbers:
   Let kids build numbers using place value blocks (thousands, hundreds, tens, ones) and ask them to write the face and place value for each digit.

These small exercises make learning about place value and face value fun and interactive.

Conclusion

Recognising the distinction between place value and face value is one of the key components in early mathematics. These terms may sound alike, but their definitions are worlds apart. A digit’s face value is simply the number itself. On the other hand, place value gives us information on the significance of the number depending on its position in the larger digit.

Frequently Asked Questions On the Difference Between Place Value and Face Value

1. What is the difference between place value and face value with an example?

Answer: The face value is simply the digit itself, and it never changes. The place value is the digit multiplied by its place in the number.

Example: In 5432, the digit 4 is in the hundreds place.

• Face value of 4 = 4

• Place value of 4 = 400

 

2. What is the face value of 7 in 573?

Answer: The face value of 7 in the number 573 is just 7. It doesn’t change based on its position.

 

3. What is the place value and face value of 4 in 5432?

Answer: The face value of 4 is 4 and the place value of 4 is 400 because it is in the hundreds place.

 

4. What is the face value of 2 in 93207?

Answer: In 93207, the face value of 2 is simply 2. It is in the hundreds place, but face value does not depend on position.

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