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Vedic Mathematics Addition PDF

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Document Details

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vedic mathematics addition techniques mathematics numerical methods

Summary

This document explains the Vedic mathematics techniques of Ekadhikena Purvena and Ekanyunena Purvena for addition, offering efficient ways to perform calculations using patterns in digit combinations. It highlights the broad application of these methods.

Full Transcript

Introduction to Vedic Mathematics Vedic Mathematics is an ancient Indian system of mathematics that offers unique shortcuts and techniques for quick calculations. This presentation will explore two powerful addition methods from this tradition - Ekadhikena Purvena and Ekanyunena Purvena. Ekadhikena...

Introduction to Vedic Mathematics Vedic Mathematics is an ancient Indian system of mathematics that offers unique shortcuts and techniques for quick calculations. This presentation will explore two powerful addition methods from this tradition - Ekadhikena Purvena and Ekanyunena Purvena. Ekadhikena Purvena Sutra 1 Increase by One The Ekadhikena Purvena Sutra translates to "Increase by One". This technique involves adding 1 to the first addend. 2 Combine Digits Next, combine the corresponding digits of the two addends, starting from the right. 3 Carry if Needed If the sum of the digits is greater than 9, carry the excess to the next column. Steps for Addition using Ekadhikena Purvena 1 Step 1 Add 1 to the first addend. 2 Step 2 Combine the corresponding digits of the two addends, starting from the right. 3 Step 3 Carry the excess to the next column if the sum of the digits is greater than 9. 4 Step 4 Repeat steps 2-3 until all columns have been processed. Examples of Addition using Ekadhikena Purvena Example 1 Example 2 Example 3 54 + 27 = 82 63 + 45 = 109 78 + 36 = 115 Ekanyunena Purvena Sutra 1 Decrease by One The Ekanyunena Purvena Sutra translates to "Decrease by One". This technique involves subtracting 1 from the first addend. 2 Combine Digits Next, combine the corresponding digits of the two addends, starting from the right. 3 Carry if Needed If the sum of the digits is greater than 9, carry the excess to the next column. Steps for Addition using Ekanyunena Purvena 1 Step 1 Subtract 1 from the first addend. 2 Step 2 Combine the corresponding digits of the two addends, starting from the right. 3 Step 3 Carry the excess to the next column if the sum of the digits is greater than 9. 4 Step 4 Repeat steps 2-3 until all columns have been processed. Examples of Addition using Ekanyunena Purvena Example 1 Example 2 Example 3 54 + 27 = 82 63 + 45 = 109 78 + 36 = 115 Conclusion and Key Takeaways 1 Efficient Calculation 2 Unique Approach 3 Broad Applications Vedic Mathematics These methods leverage the The principles of Vedic techniques like Ekadhikena base-10 number system and Mathematics can be applied Purvena and Ekanyunena patterns in digit combinations beyond just addition, to other Purvena offer efficient and to simplify calculations. arithmetic operations and intuitive ways to perform even more advanced math. addition.

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