What is Face Value?
The face value of any digit in a number is defined as the value of the digit itself. For example, if we consider the number 481, the face value of 8 will be 8.
What is Place Value?
Place value of any digit in a number is defined by the value of the digit on the basis of its position. The order of places of digits begins from the right to the left of a number. Starting from ones at the extreme right, the order continues with tens, hundreds, thousands, and so on.
What is the Difference between Face Value and Place Value of Digits?
The face value of any digit of a number is represented by the value of the digit itself, whereas, the place value of any digit of a number is given by the value of its position. To find the place value of a digit, we have to note the place in which the digit occurs in a number, and multiply its face value by the value of that place.
Solved Examples
Example 1:
Find the face value of the following digits for the following numbers:
- 7 in 6799
- 3 in 23
- 0 in 490
Answer:
As we have learned, the face value of any digit of a number is the number itself.
- Face value of 7 in 6799 is 7.
- Face value of 3 in 23 is 3.
- Face value of 0 in 490 is 0.
Example 2:
Find the face value and place value of 5 in 359028.
Answer:
As we have learned, the face value of any digit in a number is the value of the number itself. Whereas the place value of the digit of the number is its value based on the position.
Hence, the face value of 5 in 359028 is 5.
We start from the extreme right to note the place in which 5 lies at. 5 lies in the 5th place from the right which corresponds to the ten thousands place.
Therefore, The place value of 5 in 359028 is 510,000=50,000 as the digit is in ten thousands place.
Example 3:
Natalie and Trace are in a heated argument. In the number 456259, Natalie says that the place value of 9 is the same as its face value. Trace on the other hand tells Natalie that she has learnt that the place value of a number is different from its face value. Mrs. Patt listens to both of them and says they are both right. But, how could that be possible?
Answer:
In 456259, the number 9 has a face value of 9 because face value is defined as the value of the number itself. Place value on the other hand, depends on the place in which the digits lie. But here, 9 lies in the ones place, hence its place value is 91 = 9, which is the same as its face value. So Trace is right. This is because when a digit lies in the ones place both the face value and place value are the same.
So, although Natalie is right in thinking that face value is different from place value, in the case the digit lies in the ones place they are the same.
The face value of any digit of a number is the number itself. For example, in 278, the face value of 2 is 2 itself, the face value of 7 is 7 itself and the face value of 8 is 8 itself.
Since face value gives the actual value of the digit of the number, it gives us clarity on the value of digits.
The face value of 9 in 409 is 9 itself.