Face Value of a Number and Difference with Place Value

The face value of any digit in a number represents the value of that digit. Place value and face value are different, and we will learn that in this article. 

Face Value of a Number

The face value of a digit in a number is the value of that digit in the number. We know that every number has digits. Numbers may be of one-digit, two-digit, three-digit, or more than three digits. Each digit in these numbers has its place value as well as face value.

In short-

• The face value of a digit in any number is that digit itself.
• Face value is the same wherever the digit is placed in a number.

Examples of Face Value of a Digit in a Number

Now we will understand this by taking an example.

We have the number 4513, and we have the digits 4, 5, 1, and 3 in this number.

So we get the face value of-

4 is 4 

5 is 5

1 is 1

3 is 3

Some more examples:

For number 132, the face values of 1, 3, and 2 are 1, 3 and 2, respectively.

For number 34165, the face values of 3, 4, 1, 6, and 5 are 3, 4, 1, 6, and 5, respectively.

Difference Between Place Value and Face Value

The significant differences between the place value and the face value of a digit in a number are given below:

• Place value represents the value of a digit based on its position in a number. Face value represents the value of a digit in a number.
• To find the place value, the digit should be multiplied with the numerical value where it is placed in the number. For example, in the number 412, the place value of 1 is (1 × 10) = 10, since 1 is in tens place. The face value of any digit in a number represents the value of that digit. For example, in the number 412, the face value of 1 is 1.

• The place value can have many digits, but the face value always has only a single digit.

Example

1. Find the Face value for every digit 8752?

Solution:

Face value of 8 is 8.

Face value of 7 is 7.

Face value of 5 is 5.

Face value of 2 is 2.

2. Find the place value and face value of 3 in the number 23,264.

Solution:

Place value of 3 in 23,264 = 3000

Face value of 3 in 23,264 = 3