Vedic Math Sutra: Sutra-10 Yavadunam

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.

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