Question

Generalised form of a three-digit number xyz is ​

Answer 1

Answer:

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 a and b as its digits at the tens and the ones places respectively is written in the generalized form as 10a + b, i.e., in general, a two-digit number can be written as 10a + b, where ‘a’ can be any of the digits from 1 to 9 and ‘b’ can be any of the digits from 0 to 9.

Similarly, a three-digit number can be written in the generalized form as 100a + 10b + c, where ‘a’ can be any one of the digits from 1 to 9 while ‘b’ and ‘c’ can be any of the digits from 0 to 9.

Explanation:

For example:

The generalized forms of a few numbers are given below:

56 = 10 × 5 + 6;

37 = 10 × 3 + 7;

90 = 10 × 9 + 0;

129 = 100 × 1 + 2 × 10 + 9;

206 = 100 × 2 + 10 × 0 + 6;

700 = 100 × 7 + 10 × 0 + 0.

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Answer 2

Answer:

For example take 345

Then

345 = ( 3× 100) + ( 4× 10) + ( 5× 1)

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