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Monday, December 13, 2010

Digital roots or Digital Sum of Numbers

The word Digit means the single figure numbers; the numbers from 1 to 9 and zero

Digital Root or Digital Sum of a number : is the remainder when the number is divided by 9.

So for 31, the remainder is 4 because 31/ 9 = 3 remainder 4. The digital root is also 4.

The digital root can also be obtained by summing the digits of the number.

For example,

  • Digital sum of 26 is 2 + 6 = 8.
  • Digital sum of 14 is 1 + 4 = 5.
  • Digital sum of 764 is 7 + 6 + 4 =17. And 17 is a 2-digit number and we add the figures in 17 to get 1 + 7 = 8. So digital root of 764 is 8.
  • When the sum of digits is greater than 9, you keep adding. So for 3856, the digital root is 3 + 8 + 5 + 6 = 22, 2 + 2 = 4.

Some facts of digital roots or Digital Sum:

  • Adding 9 to a number does not affect its digit sum. So 1,10,19, 28 all have a digit sum of 1.
    Digital sum of 59309 is 5 + 3 + 0 = 8, ignore all 9's
  • In terms of digit sums 9 and 0 are equivalent
  • Any group of digits in a number that add up to a 9 can also be removed.
    Digit sum of 26701 is 7.
    We see that 2 and 7 which adds up to 9. We can remove 2 and 7 and add up only other digits 6 + 0 + 1 = 7.

If you feel like reading something else, may I recommend:

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3 comments:

  1. Please post all the 16 sutras & 13 sub sutras... it would be of great help to me....

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    Replies
    1. Impressive and helpful blog,your discussed trick is wonderful.Vedic maths is Indian Maths which is quite different with present time maths.I like your blog which is supporting vedic maths and learning too.

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