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FACe VALue ANd PLACe VALue

Face Value

The face value of a digit in a number is the digit itself. The place at which the digit is
present in the number does not matter.

example 1. Find the face value of each digit in 6,42,089.
Solution. Face value of 6 = 6 Face value of 4 = 4

Face value of 2 = 2 Face value of 0 = 0 L TTh Th H T O

Face value of 8 = 8 Face value of 9 = 9 6 4 2 0 8 9

Place Value

The place value of a digit depends on the place of the digit in the number.

Place value of a digit = Face value × Place the digit occupies in the number

example 2. Write the place value of each digit in the following numbers:
a. 5,21,603 b. 70,50,106

Solution. a.
L TTh Th H T O
5 2 1 6 0 3

3 × 1 = 3

0 × 10 = 0
6 × 100 = 600
1 × 1,000 = 1,000

2 × 10,000 = 20,000
5 × 1,00,000 = 5,00,000

Tips
b. TL L TTh Th H T O

The place value of 0 in a
7 0 5 0 1 0 6
number is always zero.
6 × 1 = 6
0 × 10 = 0
1 × 100 = 100
0 × 1,000 = 0
5 × 10,000 = 50,000
0 × 1,00,000 = 0

7 × 10,00,000 = 70,00,000

14 Mathematics 5