Place Value and Face Value

Place value and Face value:

Face value is the actual value of the digit. In the number 456, the "5" has a face value of 5. Value = The place value of the digit times its face value.

Example: Find the value of the digits 6, 8 and 4 in the number 684.

The place value of a digit in a number is the value it holds to be at the place in the number. If 5 is at Thousand-place in a number, its place value will be 5000, if it is at Hundred-place, its value will be 500, etc.

In the number 2137, 2 is at Thousand-place, 1 is at Hundred-place, 3 is at ten’s-place and 7 is at one’s-place. So, the place values of the digits 2, 1, 3 and 7 are 2000, 100, 30 and 7.

The face value of a digit is the digit itself, at whatever place it may be. It is unchangeable and definite. But place value changes according to the digit’s place.

For example; to find face value and place value of 3572:

face value of 2 is 2 place value of 2 is 2

face value of 7 is 7 place value of 7 is 70

face value of 5 is 5 place value of 5 is 500

face value of 3 is 3 place value of 3 is 3000

The face value as well as place value of zero (0) is always (0).