Page 14 - Math Skill - 5

12 Maths

Face Value and Place Value

Face Value

The face value of a digit is always the digit itself.
For example, Face value of 3 in 85,32,812 is 3. Face value of 6 in 96,78,583 is 6.

Place Value

Place value of a digit depend on the place it occupies in the place value chart. The product of
the digit and the value of its place is called the place value of the digit.

Place value = Face value × Position value of that digit

Observe the place values of every digit in 78,23,41,521.

TC C TL L TTh Th H T O Place Values
7 8 2 3 4 1 5 2 1

1 one or 1 × 1 = 1
2 tens or 2 × 10 = 20

5 hundreds or 5 × 100 = 500
1 thousand or 1 × 1000 = 1000

4 ten thousands or 4 × 10000 = 40,000
3 lakhs or 3 × 1,00,000 = 3,00,000
2 ten lakhs or 2 × 10,00,000 = 20,00,000

8 crores or 8 × 1,00,00,000 = 8,00,00,000
7 ten crores or 7 × 10,00,00,000 = 70,00,00,000

Fact-o-meter
The place value of a digit in the number has no effect on its Face value is 7
face value.
i.e. The face value of each digit in the number 5, 55, 555, is 2789
5 only.
Place value is 700

Let’s Attempt

Example 1: Find the place value of 4, 6 and 9 in 24,69,51,371.
Solution: The place values of the digits 4, 6 and 9 in 24,69,51,371 are:

Place value of 4 in the given number = 4 crores = 4,00,00,000
Place value of 6 in the given number = 6 ten lakhs = 60,00,000
Place value of 9 in the given number = 9 lakhs = 9,00,000