Write 423 in generalised form.
Answers
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.
Given: The number is 423
To find The generalized form of the given number
Solution: When the given number is shown in the sum of products form according to each digit's place value, then that form is said to be the generalized form.
If we consider a two-digit number, the place value and the face value of the unit's place are alike but for the ten's place, the place value of the digit of the ten's place is multiplied by 10 and the face value is only the digit of the ten's place.
The above is true for the three-digit number where the digit of the hundred's place is multiplied by 100 for getting the place value, so for the number 423 which is a three-digit number, the generalized form is given as:
Representing the given number in place value format and for the generalized form it is given in sum of products format,
= (4×100)+(2×10)+(3×1)
Hence the generalized form of the given number 423 is (4×100)+(2×10)+(3×1).