what is Ekadhikena Purvena in vedic maths?

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The sutra “Ekadhikena Purvena” translates to “One More than the Previous One” in English. This sutra is particularly useful for squaring numbers, especially those that end in 5. Here’s how it works:

Let’s say you have a number ending in 5, for example, 25.

  1. Separate the number: Separate the non-5 part of the number. In this case, the non-5 part is 2.
  2. Add 1 to the non-5 part: Add 1 to the non-5 part. So, 2 + 1 = 3.
  3. Multiply: Multiply the original non-5 part and the result obtained in the previous step. So, 2 * 3 = 6.
  4. Append 25 to the result: Finally, append 25 to the result obtained in step 3. So, the result is 625.

So, 25 squared equals 625.

This sutra simplifies the process of squaring numbers that end in 5 by breaking it down into simple steps. It’s a handy mental technique for quick calculations and is one of the many efficient methods taught in Vedic Mathematics.