Face Value in Maths: Definition, Formula & Solved Examples

Face Value in Maths

Face value in maths is the actual value of a digit as it is written in a number. It is simply the digit itself and does not depend on its position in the number.

For example:

• In the number 472, the face value of 7 is 7.

• In 509, the face value of 0 is 0.

• In 8634, the face value of 3 is 3.

So, no matter where the digit is placed (ones, tens, hundreds, etc.), the face value of digits remains the same.

Read more: Indian Place Value Chart

Example of Face Value in Maths

Let’s take a number: 5724

Here is the face value of each digit:

• Face value of 5 = 5

• Face value of 7 = 7

• Face value of 2 = 2

• Face value of 4 = 4

Another example: 9081

• Face value of 9 = 9

• Face value of 0 = 0

• Face value of 8 = 8

• Face value of 1 = 1

These are all examples of face value in maths and show how easy it is to find.

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Face Value of Digits from 0 to 9

Here’s a quick reference table showing the face value of each digit:

Face Value vs Place Value

Many students confuse face value with place value. Let's look at the face value vs place value difference clearly:

Face Value

• It is the digit itself.

• It does not depend on the position of the digit.

Example: In 357, the face value of 5 is 5.

Place Value

• It is the digit multiplied by its position.

• Depends on the digit's place (ones, tens, hundreds, etc.)

Example: In 357, place value of 5 is 50 (5 × 10)

Here’s a table to understand better:

So, face value is what the digit is, and place value is what the digit is worth based on its position.

Read More: Additive Inverse

Face Value Solved Examples

These solved examples will help you clearly understand how to find the face value of digits in a variety of numbers.

Example 1: What is the face value of 6 in the number 16,782?

Solution: In the number 16,782, we are asked to find the face value of the digit 6.
The face value of any digit is the digit itself, regardless of its position.
So, the face value of 6 is 6.

Example 2: Write the face value and place value of each digit in 4,503.

Solution: Let’s break down each digit:

• Face value of 4 = 4, Place value = 4 × 1000 = 4000

• Face value of 5 = 5, Place value = 5 × 100 = 500

• Face value of 0 = 0, Place value = 0 × 10 = 0

• Face value of 3 = 3, Place value = 3 × 1 = 3

This helps compare face value vs place value clearly.

Example 3: In the number 90,456, what is the face value and place value of 0 and 5?

Solution: Face value of 0 = 0

Place value of 0 = 0 × 1000 = 0

Face value of 5 = 5

Place value of 5 = 5 × 10 = 50

This shows that the face value of 0 is still 0, no matter where it is placed.

Example 4: What is the difference between the place value and face value of 7 in 87,932?

Solution: In the number 87,932, the digit 7 is in the thousands place.

Face value of 7 = 7

Place value of 7 = 7 × 1000 = 7000

Difference = 7000 – 7 = 6993

So, the difference between place value and face value of 7 is 6993.

Example 5: Find the sum of the face values of all digits in 2,018.

Solution: Digits in the number = 2, 0, 1, 8

Face values = 2 + 0 + 1 + 8 = 11

So, the sum of the face values of the digits is 11.

Also read: Ratio and Proportion

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