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    Vedic Math Sutra: Sutra-10 Yavadunam

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    The ancient Indian math technique, Vedic Mathematics, is renowned for its unique and effective methods for solving challenging mathematical problems. The Yavadunam sutra is one such sutra that gives a novel approach to multiplication. The phrases “saved,” which means “as much as,” and “dunam,” which means “the product,” are derived from the Sanskrit language. This sutra offers a simple method of multiplying numbers close to a joint base. 

    We’ll explore the Yavadunam sutra in this blog and see how it can be applied to improve multiplication skills in kids.

    Understanding The Yavadunam Sutra

    The Yavadunam sutra can be stated as follows: “Whatever the extent of its deficiency, lessen it still further to that very extent; and also, set up the square of the deficiency.” The sutra may be broken down into a step-by-step technique that simplifies multiplication, although it initially appears challenging.

    Step 1: Identify a suitable base

    Choose a base number that is close to both the multiplicand and the multiplier. The closer the base number is to the actual values, the more straightforward the calculation.

    Step 2: Calculate the deficiencies

    Find the deficiencies of the multiplicand and the multiplier concerning the chosen base. The drawback is the difference between the actual number and the base.

    Step 3: Adjust the numbers

    Subtract the deficiencies from the base to adjust the numbers, ensuring the new numbers are easier to work with.

    Step 4: Multiply the adjusted numbers

    Multiply the adjusted numbers obtained in the previous step.

    Step 5: Account for the deficiency of the base

    Square the deficiency of the base number and subtract it from the product obtained in the previous step.

    Step 6: Determine the final result

    The result obtained after subtracting the squared deficiency is the final product of the original multiplicand and multiplier.

    Let’s now see a few examples:

    Example 1

    162 = (16+6)/62 = 22/36 = 256

    So in the above problem, 16 is 6 more than 10(Base 10), So Excess = 6

    Increase it still further to that extent, So (16+6) = 22

    Square it’s excessive, So 62 = 36

    Final Answer: 256

    Example 2

    922 = (92-8)/82 = 84/64 = 8464

    So in the above problem, 92 is 8 less than 100(Base 100), So deficiency = 8

    Reduce it further to that extent, So (92-8) = 84

    Square its deficiency, So 82 = 64

    Final Answer: 8464

    Wrapping Up!!

    Vedic maths is a fantastic science with several more tricks like the Yavadunam sutra. Learning tricks like these help kids hone their capability for doing mental calculations, thus making maths a more exciting and easy-to-learn subject.

    Moonpreneur is dedicated to helping children achieve an optimum level of knowledge in various STEM-related subjects, and to make this resolve stronger, we have launched MoonMath as one of our programs where a child learns concepts of Vedic Maths, Advanced Mathematics, and Mental Math.

    Enroll Today in our free Advanced Math workshop or talk to our program advisor at +1 (855) 550-0571.

    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 main principle behind Vedic Mathematics?

    Simran Chawla
    Editor
    Simran Chawla
    8 months ago
    Reply to  jazzz

    Vedic Mathematics is based on ancient Indian sutras, offering concise formulas for efficient mental calculations and emphasizing the interconnectedness of mathematical operations.

    Rahul
    Rahul
    11 months ago

    Can you tell me why is vedic math accurate?

    Simran Chawla
    Editor
    Simran Chawla
    11 months ago
    Reply to  Rahul

    Vedic Mathematics is accurate for some in mental calculations, but preferences vary based on context and application.

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