Vedic Math

Published: 26th September 2014 06:04 AM  |   Last Updated: 26th September 2014 06:04 AM   |  A+A-

Checking our calculations

Let us talk a little bit more about Beejank or the digital root. This digital root, which reduces any given number to a single digit, is helpful for us to check all our calculations. We can check addition, subtraction, multiplication and division. First let us look at how to check addition using the digital root. Kumudha-Krishnan.jpg

Whenever we add two big numbers and want to check the answer we follow the steps given below:

 Find the digital roots of the numbers that you added.

 Add the digital roots.

 Find the digital root of the answer you got.

 Compare the digital root of the answer with the sum of the digital roots of the numbers that you added.

 If they are same then the answer is correct

Example:  

Add 456981 and 895462 and check the answer.

456981 + 895462 = 1352443.

 Digital root of 456981 is 6, digital root of 895462 is 7.

 6 + 7 = 13 = 4.

 Digital root of the answer 1352443 is 4.

 So our answer is correct.

The check is not only for two numbers but can be extended to any number of additions. We follow the same method. For instance, if we have to add a set of five three-digit numbers we check the answers like this,

 243 + 158 + 485 + 176 + 291 = 1353.

 Now we convert the numbers of the problem into single-digit numbers by finding the digital roots: 9 + 5 + 8 + 5 + 3

 Keep in mind  that you can ignore all 9s because that does not alter the digital sum.

 So the sum of the digital roots is 3.

 Now the digital root of 1353 is also 3.

 Hence the answer is correct.

The same method can be followed to check subtraction calculations. The only variation is that we subtract the digital roots of the numbers to be subtracted and compare the answer  with the digital root of the original answer.

Example:

Subtract  6248 from 9153 and check the answer.

 9153 – 6248 = 2905

 Digital root of 9153 is 9, digital root of 6248 is 2.

 Difference in the digital roots is 9-2 = 7.

 Digital root of answer (2905) is also 7.

 So the calculation is correct.

But there are situations when the digital root of the subtrahend is smaller than the digital root of the minuend. Then 9 comes to our help. We know that 9 does not alter the digital root when added or subtracted. So we make the digital root of the subtrahend bigger by adding a 9 and then do the remaining steps.

Example:

Subtract 2445 from 8263.

 8263 – 2445 = 5818.

 Digital root of  8263 (the subtrahend)  is 1, digital root of 2445 (the minuend) is 6.

 We cannot subtract 6 from 1, so we add 9 to 1 and make it 10, then subtract 6 from it, giving us 4.

 The digital root of the difference, 5818,  is also 4.

 We have the right answer!!

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