Ekadhikena Purvena

 "Ekadhikena Purvena" is a Vedic Mathematics sutra that deals with multiplication by one more than the previous number. It is used to quickly multiply numbers when one number is followed by a series of 1's. This sutra can be particularly handy when multiplying numbers close to each other, making mental calculations faster.


The sutra can be translated as "By one more than the previous" or "One more than the one before." Let's look at a step-by-step example to illustrate this technique:

Example: Calculate 13 × 14 using "Ekadhikena Purvena."


Step 1: Identify the base number. In this case, it's 13.


Step 2: The second number is 14, which is one more than the base number (13 + 1).


Step 3: To find the result, you take the first part (13) and add 1 to it to get 14, then write down the last digit of the second number (4).


Step 4: Combine the results to get the answer: 13 × 14 = 182.


Let's try another example:


Example: Calculate 27 × 28 using "Ekadhikena Purvena."


Step 1: The base number is 27.


Step 2: The second number is 28, which is one more than the base number (27 + 1).


Step 3: Take the first part (27) and add 1 to it to get 28, then write down the last digit of the second number (8).


Step 4: Combine the results to get the answer: 27 × 28 = 756.


By using the "Ekadhikena Purvena" technique, you can quickly multiply numbers that have a difference of 1 between them. Remember, this method is most effective when the numbers are close to each other, and the difference is small, making it an excellent tool for mental math calculations.







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