Difference Between Place Value and Face Value
The main difference between place value and face value is that 'place value' gives the value of a digit based on its position in a number, whereas, 'face value' is the actual value of a digit in a number. The face value of a number is definite and cannot be changed, whereas, the place value of a number changes according to the digit's place.
Definition of Place Value and Face Value
Place Value
Place value is defined as the value of each digit in a number. We get the place value of a number by multiplying the digit value with its numerical value. For example, in the number 45634, to get the place value of '3', we multiply 3 (numerical value) by 10 (digit value) and get 30, since 3 is in the tens place. Similarly, we can find the place values of the rest of the digits in the number.
Face Value
The face value of a digit in a number is the same digit itself. For example, in the number 45634, the face value of '3' is 3 itself. The following figure illustrates the difference between place value and face value.
Expanded Form
Let us understand the difference between place value and face value through the expanded form of a number. The expanded form of 432 = 400 + 30 + 2.
In the expanded form, we express a number as the sum of the individual digit's place value. In the above example, the place value of 4 is 400 (since 4 is in the hundreds place), and the place value of 3 is 30 (since 3 is in the tens place) and the place value of 2 is 2 (since 2 is in ones place). However, in the same number 432, the face value of 4 is 4, the face value of 3 is 3, and the face value of 2 is 2.
Place Value and Face Value in an Abacus
Now, let us differentiate between the place value and face value of digits with the help of an abacus. A spike abacus is a tool in which each spike represents place values starting from ones, tens, hundreds, thousands and so on. For example, let us take the number 435. Observe the abacus shown below in which the colored beads represent the value of each digit in the place. There are 5 pink beads in ones place, which means, the face value of the digit is 5. Now let us look at its place value. The place value of the digit in ones place is (5 × 1), which is 5. Similarly, there are 3 blue beads in the tens place, which means, that the face value is 3 and the place value of the digit in tens place is (3 × 10), which is 30. The same concept holds good for the next digit. There are 4 yellow beads in the hundreds place, which means that the face value is 4 and the place value of the digit is 4 × 100 = 400.
Difference Between Place Value and Face Value
The table shown below lists the major differences between the place value and the face value of a number.
Place Value  Face Value  
1)  Place value is defined as the position that a digit occupies in a number.  Face value is the actual value of a digit in a number. 
2)  To get the place value of a number, we multiply the digit value with its numerical value. For example, in the number 452, the place value of 5 is (5 × 10) which is 50, since 5 is in tens place.  The face value of a digit is the number itself. 
3)  The place value of a number depends upon the position of the digit in the number.  The face value is independent of the position of the digit in the number. 
4)  The place value of 0 in any number is equal to 0.  The face value of 0 is 0. 
5)  The place value of a digit in ones place is always a single digit and the place value of every next digit increases by one more digit.  The face value of a number is always a single digit. 
Important Topics
Solved Examples on Difference Between Place Value and Face Value

Example 1: Find the place value and face value of all the digits in the number 6741.
Solution:Place Value Position/Place Face Value 6 6000 Thousands 6 7 700 Hundreds 7 4 40 Tens 4 1 1 Ones 1 
Example 2: Find the difference between the place value and face value of 8 in the number 83,762.
Solution:
Place value of 8 in 83,762 = 80000
Face value of 8 in 83,762 = 8.
Therefore, the difference between the place value and face value of 8 in 83,762 = 80,000  8 = 79,992.
Practice Questions on Difference Between Place Value and Face Value
FAQs on Difference Between Place Value and Face Value
What is the Difference Between Place Value and Face Value?
Place value is defined as the position that a digit occupies in a number, whereas, face value is the actual value of a digit in a number. For example, in 4538, the place value of 5 is 500 and the face value of 5 is 5 itself.
How To Find the Face Value of a Digit?
The face value of a digit in a number is the digit itself. For example, in 342, the face value of 3 is 3, the face value of 4 is 4, and the face value of 2 is 2.
How To Find the Place Value of a Digit?
To get the place value of a number, we multiply the digit value with its numerical value. For example, in the number 512, to get the place value of '5' we multiply 5 (numerical value) by 100 (digit value) and get 500, since 5 is in hundreds place.
What is the Place Value of 5 in 8756?
In the number 8756, the place value of 5 is 50. Since 5 is in tens place, we multiply 5 by 10 which is equal to 50.
What are the Place value and Face Value of 0 in a Given Number?
The place value of 0 in any given number is always zero. This is due to the reason that to get the place value of a number, we multiply the digit value with its numerical value, and 0 multiplied by any number is zero. Similarly, the face value of 0 is 0 because the face value of a number is the number itself.