Difference Between Place Value and Face Value
The major difference between place value and face value is that the place value deals with the position of the digit, and the face value represents the actual value of a digit. The number system is available and is essential for characterising the digits into groups of tens, hundreds and even thousands.
Definition of Face Value and Place Value
The definition of face value and place value of a digit can be understood in a better way with the help of an expanded form of a number.
625 = 600 + 20 + 5
= 6 × 100 + 2 × 10 + 5 × 1
Here,
| Digit | Place value | Face value |
| 6 | 600 | 6 |
| 2 | 20 | 2 |
| 5 | 5 | 5 |
From the above table we can write the answer for the question: what is face value and place value of a digit in the number.
Face value
Face Value: The face value of any number can be represented as the value of the digit itself. For example, the face value of digit 3 in number 394 is 3 itself.
Place value
Place Value: The place value represents the position of a digit in a number. For example, the place value of digit 3 in 394 is hundredth i.e. 3 x 100 = 300th.
What is the Difference between Place Value and Face Value?
One must understand the key differences that separate the place value from the face value. In place value, the number system begins from 0 to tens, hundreds, thousands and so on. To know more about the major differences between place value and face value, check out the tabular column below:
| Difference between Place Value and Face Value | |
|---|---|
| Place Value |
Face Value |
| Place value is defined as the digit multiplied wherever it is placed, either by hundreds or thousands. | Face value is simply defined as the digit itself within a number. |
| Example: Place value of 5 in 350 is: 5*10= 50 | Example: Face value of 5 in 350 is: 5 |
| The place value of 0 is 0 | The face value of 0 is also 0 |
| Place value of a digit should be multiplied by the digit value of the position where it is located. | Face value of a digit always remains the same, irrespective of the position where it is located. |
Also, try out: Place Value Worksheets.
Solved Example
Example: Find the Place value and Face value for every digit 4657.
Face value of 7 is 7
Place value of 7 is 7
Face value of 5 is 5
Place value of 5 is 50
Face value of 6 is 6
Place value of 6 is 600
Face value of 4 is 4
Place value of 4 is 4000
Thus, these are some of the key differences between the face value and place value. It is important to know the distinctions between the two, as they are both used in mathematical expressions to solve and calculate. To know more, subscribe to the BYJU’S app today!