Place Value and Face Value

Face Value

Definition

The face value means the value of the digit itself in any number.

Example: In number 23, face value of 2 is 2 and 3 is 3.

In 321, the place value of 3 is 3 x 100 = 300.

94652, the face value of 9 is 9.

82194635, the face value of 2 is 2.

Example: 74652, the face value of 7, 4, 6, 5, 2 is 7, 4, 6, 5, 2 respectively.

In below figure the number 26749, face value of 6 is 6 and place value of 6 is 6000.

Look these below figures, here the face value of 4 is 4 in all three numbers in fig (i). In figure (ii) place value of 5 is ones, tens and hundreds.

Place value

Place value shows the position of a digit in the number.

Place value of digit = Face value of digit x Position of digit in number

In number 9534, the face value of 4 is 4 and 4 is at one’s position in the number. So place value of 4 is = 4 x 1 = 4

In number 9534, the face value of 3 is 3 and 3 is at ten’s position in the number. So place value of 3 is = 3 x 10 = 30

In number 9534, the face value of 5 is 5 and 5 is at hundred’s position in the number. So place value of 5 is = 5 x 100 = 500

In number 9534, the face value of 9 is 9 and 9 is at thousand’s position in the number. So place value of 9 is = 9 x 1000 = 9000.

4129, the face value of 4 is only 4 but place value of 4 is 4 x 1000 = 4000.

Now we look one more example in number 435 we see the place values and face values of digits.

Difference between Place value and Face Value

Place Value	Face Value
Place value shows the position or place of a digit in the number.	The face value of a digit represents the value of a digit itself.
Place value of the digit = Face value x numerical value of place.	Face value = numerical value of digit itself.
The place value of a given number is always zero.	The face value of digit zero is zero.
The place value of a number is a value depends on its place or position of the digit in the number.	The face value is independent of the position or place of the digit in a number.
Ex: The place value of 3 in 235 is 3 x 10 = 30	Ex: The face value of 3 in 235 is 3.
The place value of a digit in ones place is always a single digit. We move from right to left, the place value of every next digit represents 10 times the place value to its immediate right.	The face value of a number is always a single digit.