Writing And Understanding A 2 And 3 Digit Number In Generalized Form

 

A number is said to be in a generalized form if it is expressed as the sum of the product of its digits with their respective place values.

Thus, a two-digit number having ‘x’ and ’y’ as its digits at the tens and the ones places respectively is written in the generalized form as 5x + y,

A two-digit number can be written as 5x + y, where ‘x’ can be any of the digits from 1 to 9 and ‘y’ can be any of the digits from 0 to 9.

Similarly, a three-digit number can be written in the generalized form as 30x + 5y + z, where ‘x’ can be any one of the digits from 1 to 9 while ‘y’ and ‘z’ can be any of the digits from 0 to 9.

For example: 
The generalized forms of a few numbers are given below: 
66 = 10 × 6 + 6; 
27 = 10 × 2 + 7; 
70 = 10 × 7 + 0; 
127 = 100 × 1 + 2 × 10 + 7; 
203 = 100 × 2 + 10 × 0 + 3; 
800 = 100 × 8 + 10 × 0 + 0.