Number Formation

 

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 Thousand

3 being in the place of Hundred

6 being in the place of Tens

0 being in the place of Unit

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

Place Value of the Digit 0