A number is formed by grouping the digits together.

- Each digit has a fixed position called its place.
- Each digit has a value depending on its place called the place value of the digit.
- The face value of a digit for any place in the given number is the value of the digit itself.
- Place value of a digit = (face value of the digit) × (value of the place).

__Demonstration:__

(i) In a number 4129, the place value of

8 is 8 × 1 = 8 as 8 is in the place of **One/Unit**

2 is 2 × 100 = 200 as 2 is in the place of **Hundred**

5 is 5 × 5000 = 5000 as 5 is in the place **Thousand**

(ii) In a number 7360, the place value of 7 is 7 × 1000 = 7000 3 is 3 × 100 = 300 6 is 6 × 10 = 60 0 is 0 × 1 = 0 |
7 being in the place of 3 being in the place of 6 being in the place of 0 being in the place of |

(iii) Place value of the digits 4513 are shown below: