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    Vedic Math Sutra: Sutra-14 Ekanyunena Purvena

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    Vedic Math Sutra 14 Ekanyunena Purvena

    Update: This article was last updated on 4th February 2025 to reflect the accuracy and up-to-date information on the page.

    As math has always been a part of our lives, kids need a good base. Although learning maths in the usual ways sometimes may become tough, Vedic Mathematics provides a completely different and exciting method that could make learning math for young children a fun-filled and enjoyable task.

    Well-structured exercises and techniques that the Vedic Maths Workbooks for Level 14 provide really help children absorb the complex concept easily and confidently.

    Ekanyunena Purvena, which helps kids to execute fast calculations efficiently, is one of the essential Vedic Maths concepts and is the sub-sutra to Nikhilam, Ekanyunena Purvena, and has the meaning of “one less than the previous” OR “one less than the one before.” 

    Ekanyunena Purvena is used for simplifying complex multiplication and subtraction problems, making calculations quicker and easier.

    Only such a handful of situations can be used here that strictly come under the above requirement. For instance, only a number that is to be multiplied (the multiplicand/multiplier) contains nine digits. For example, 999, 99999, 99999999, and so on.

    The condition mentioned above is possible only in three different situations.

    Case 1. Both numbers contain an equal number of digits. 

    Example: 2463 x 9999

    Step 1: 

    To get the left part of the answer, you subtract 1 from the Multiplicand following the Ekanyunena Purvena method.

    2463 – 1 = 2462

    Step 2:

    To determine the right part of the answer, subtract the left part obtained in Step 1 from the multiplier.

    9999- 2462 = 7537

    Thus, 2463 × 9999 = 24627537

    Case 2. Suppose the number of digits in one of the numbers is smaller than the count of 9s in the second number.

    Example: 347 x 9999

    Step 1: 

    By subtracting 1 from the Multiplicand, the left part of the answer is derived using the Ekanyunena Purvena method.

    347-1 = 346

    Step 2:

    To obtain the right part of the answer, subtract the left part obtained in Step 1 from the multiplier.

    9999 – 346 = 9653

    Therefore, 347 × 9999 = 3469653

    Case 3.If the number of digits in one of the numbers ismore than that of count of 9s in the other number,

    Example: 266 x 99

    Step1. Since there are two 9’s in the multiplier, we multiply the Multiplicand by 100 because of the two zeroes in the answer.

    266 × 100 = 26600

    Now, subtract the multiplicand from the product found in step 1.

    26600 – 266 = 26334

    Thus, 266 × 99 = 26334

    Wrapping Up!!

    Ekanyunena Purvena is a useful technique that lets children compute numbers mentally easily. This technique can be applied in mathematics, enabling kids to solve problems with ease. Ekanyunena Purvena is used for  simplifying complex mathematical computative work, particularly in subtraction and multiplication, which makes mental computation faster and easier for children.

    Patience, encouragement, and tailoring the learning process to each child’s particular skills and learning preferences are all essential for successfully transferring this Vedic knowledge. 

    We at Moonpreneur understand the needs and demands this rapidly changing technological world is bringing with it for our kids. Therefore, our advanced Math course for 3rd, 4th, 5th, and 6th grade will sharpen your child’s math skills through hands-on lessons, find an interest in learning, and make their application real. Register now for a free 60-minute Advanced Math workshop.

    Rishabh Prasad

    Rishabh Prasad

    A writer with a talent to play with words and deliver impactful content. I have an undying love for literature, and firmly believe that pens have the power to change the course of human history!!
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    4 Comments
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    jazzz
    jazzz
    1 year ago

    What is the square of 85 by using the formula Ekadhikena Purvena… I can’t solve it.

    sonali sharma
    sonali sharma
    1 year ago
    Reply to  jazzz

    85^2 = 8 × 9/5 × 5 = 72/25 = 7225… try exploring using this

    Rahul
    Rahul
    1 year ago

    For what other problems can we use Ekadhikena Purvena???

    Stacy
    Stacy
    1 year ago
    Reply to  Rahul

    We can use it to find the square of complicated numbers.

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