The significant distinction between place value and face value is that place value assigns a digit based on its location in a number. In contrast, face-value assigns a digit’s actual value. A number’s face value is fixed and cannot be modified.
Place Value
The digit multiplied by hundreds or thousands, depending on where it is put, is called place value.
For e.g.:
Place value of 6 in 650:
6*100 = 600
For 0, the place value is 0.
A digit’s place value should be multiplied by the digit value of the position in which it is found.
Face Value
Face value simply refers to the value of a digit within a number.
For e.g.:
The face value of 6 in 650 is 6.
For 0, the face value is also 0
The face value of a digit remains constant irrespective of its location.
Solved Example
Determine the Place value and Face value for each digit in the following numbers –
1. 7635
For 5 Place Value 5
Face Value 5*1 = 5
For 3 Place Value 3
Face Value 3*10 =30
For 6 Place Value 6
Face Value 6*100 = 600
For 7 Place Value 7
Face Value 7*1000 = 7000
2. Find the product of Place value of 8 in 8,439
For the Place value of 8,
8 × 1000 = 8000
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