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    Vedic Math Sutra: Sutra-14 Ekanyunena Purvena

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    Since mathematics has always been essential to our lives, kids must have a solid foundation. While learning math through traditional ways might occasionally feel difficult, Vedic Mathematics offers a unique and fascinating approach that can make learning math for youngsters pleasant and exciting. 

    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.” 

    Only a few situations can be applied to this sutra, and they must meet strict requirements. Such as, a number that needs to be multiplied (the multiplicand/multiplier) only has nine digits. For instance, 999, 99999, 99999999, and so forth.

    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 obtain the left part of the answer, you deduct 1 from the Multiplicand using 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

    Thus, 347 × 9999 = 3469653

    Case 3. Suppose the number of digits in one of the numbers exceeds the count of 9s in the second number.

    Example: 266 x 99

    Step1. Due to two 9s in the multiplier, we multiply the Multiplicand by 100, representing the two zeroes in the result.

    266 × 100 = 26600

    Next, deduct the Multiplicand from the product obtained in step 1.

    26600 – 266 = 26334

    Thus, 266 × 99 = 26334

    Wrapping Up!!

    The Ekanyunena Purvena is a beneficial method that enables kids to calculate things with ease mentally. This technique can be used in mathematics to help kids solve problems more easily. 

    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. Hence, our expert-designed Advanced Math course for grades 3rd, 4th, 5th, and 6th will help your child develop math skills with hands-on lessons, excite them to learn, and help them build real-life applications. 

    Register for a free 60-minute Advanced Math Workshop today!

    16 Sutras of Vedic Maths

    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
    8 months ago

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

    sonali sharma
    sonali sharma
    8 months ago
    Reply to  jazzz

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

    Rahul
    Rahul
    4 months ago

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

    Stacy
    Stacy
    3 months ago
    Reply to  Rahul

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

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