The digital root of 4725 is:a)9b)6c)3d)1Correct answer is option 'A'. ...
Understanding Digital Root
The digital root of a number is the single-digit value obtained by an iterative process of summing the digits until a single digit is achieved.
Steps to Calculate the Digital Root of 4725:
1. Sum the Digits of 4725:
- Break down the number into its individual digits: 4, 7, 2, and 5.
- Calculate the sum:
- 4 + 7 + 2 + 5 = 18
2. Sum the Digits of the Result (18):
- Now, take the sum 18 and break it down into its digits: 1 and 8.
- Calculate the sum:
- 1 + 8 = 9
3. Final Result:
- The digital root of 4725 is therefore 9.
Why is the Answer 'A' (9)?
- The digital root is effectively a way to reduce a number to a single digit that retains the same congruence modulo 9.
- Since 4725 reduces to 9 through the digital root process, the correct answer is option 'A'.
Conclusion:
- The digital root provides a quick way to simplify numbers while preserving their properties under modulo 9.
- For 4725, this process confirms that the digital root is 9, making option 'A' the correct answer.
The digital root of 4725 is:a)9b)6c)3d)1Correct answer is option 'A'. ...