Difference between Face Value and Place value

1.Face value of a digit in a number is the digit itself whereas the place value of a digit in a number is the digit multiplied by thousand or hundred or whatever place it is situated in the place value table.

Example: for the number 25486 the face value of digit 5 situated at thousand's place is 5 and the place value is 5 x 1000 = 5000.

2. Face value of a digit always remain the same irrespective of the number it is used. For example the face value of digit 2 in 26455665 and in 290 is the same and is digit 2 itself.Whereas the place value of a digit changes with number it is used in. 
For example the place value of 2 in 26455665 is 20000000 and in number 29 it is 20.


Some examples:

1.What is the face value of 9 in 25954558700?

Here the face value of 9 is 9 itself. The face value is not impacted by the location of the digit 9 in the number.

Whereas 
Place value of 9 in the above number is 9x100000000.


Easy way of getting place value of a digit.

Take the case of finding the place value of 8 in 5458233.

Step 1: Ignore any digits to the left of 8 in the number 5458233. We get 8233.

Step 2: Now replace all the digits after the digit 8 by 0. We will get 8000.

Hence , 8000 is the required place value of 8 in 5458233.