In Mathematics, face value is the actual value of the digit in a number. For example, if 567 is a number, then the face value of 6 is 6 only, whereas its place value is tens (i.e. 60). Thus, for any number, having a two-digit, three-digit or ‘n’ number of digits, every digit will have a place value and a face value.
Face value is the actual value of a digit in a number.
Face Value of Digits in Maths
- Face value of 0 in a number is 0
- Face value of 1 in a number is 1
- Face value of 2 in a number is 2
- Face value of 3 in a number is 3
- Face value of 4 in a number is 4
- Face value of 5 in a number is 6
- Face value of 7 in a number is 7
- Face value of 8 in a number is 8
- Face value of 9 in a number is 9
Thus, the face value is defined for all the ten digits from 0 to 9.
Face Value and Place Value in Maths
We have already discussed in the introduction, face value is the actual value of the digit. Place value defines the position of the digit in a number, such as once, tens, hundreds, thousands, ten-thousands, and so on.
For example, in the number 345, the place value of 5 is 5, 4 is 40 and 3 is 300.
345 → 300 + 40 + 5 → Three hundreds + Forty + Five
Let us find the face values of digits for different numbers with examples. Also, we will see the place value for the same number.
Example: Find the place value and face value of digits in 5689.
Solution: Given the number is 5689.
Face value of 9 is 9 and Place value of 9 is 9
Face value of 8 is 8 and place value of 8 is 80 (Eighty)
Face value of 6 is 6 and place value of 6 is 600 (Six hundred)
Face value of 5 is 5 and place value of 5 is 5000 (Five thousand)
Therefore, we can see, the face value of the digits in number 5689 represents the actual value of the digit.
Also read: Difference Between Place Value and Face Value
Solved Examples
Q.1: What is the difference between place value and the face value of 7 in 27650934?
Solution: The face value of 7 in 27650934 is 7 itself and the place value of 7 is 7000000.
Thus, the difference between 7000000 and 7 is:
7000000 – 7 = 6999993
Q.2: What is the sum of place value and face value of 7 in 478?
Solution: Given, the number is 478.
Place value of 7 = 70
Face value of 7 = 7
Required sum = 70 + 7 = 77
Q.3: What is the product of place value and face value of 5 in 756?
Solution: Given, the number is 756
Place value of 5 = 50
Face value of 5 = 5
Required product = 50 x 5 = 250
Q.4: What is the face value of 1 in 981?
Solution: The face value of 1 in 981 is 1 itself.
Practice Worksheets
Q.1: Find the face value of:
- 8 in 768
- 9 in 591454
- 7 in 7839
- 6 in 7694
- 3 in 9382585
Q.2: Find the sum of place value and face value of 8 in 182990.
Q.3: Find the difference of place value and face value of 3 in 4563999.
Frequently Asked Questions on Face Value
Q1
1. What is face value in Maths?
Answer: Face value is the actual value or original value of a digit in a number. For example, the face value of 7 in 789 is 7.
Q2
2. What is the face value of 2 in 93207?
Answer: The face value of 2 in 93207 is 2.
Q3
3. What is the face value of 6 in 64?
Answer: The face value of 6 in 64 is 6 itself.
Q4
4. What is the face value of 7 in 7000?
Answer: The face value of 7 in 7000 is 7 itself.
Q5
5. What is the difference between the face value and place value? Give examples.
Answer: Face value is the actual value of the digit whereas place value is the position of a digit in a number. For example, the face value of 5 in 5432 is 5 whereas the place value of 5 is 5000 (five-thousands).
