Vedic Maths Multiplication Tricks For Faster Calculations

Vedic Maths Multiplication Tricks For Faster Calculations

Ever wished math could be a bit easier? Well, enter Medh’s Vedic Maths course- it’s like a secret stash of math shortcuts designed to make your life simpler. Developed by an Indian monk named Swami Sri Bharati Krishna Tirthaji, Vedic Maths is all about making math fun and fast. Efficiency is key, and traditional methods of multiplication often fall short, bogging us down with tedious steps and rote memorization. But Vedic Maths flips the script, offering a repertoire of lightning-fast techniques designed to streamline the multiplication process and alleviate the pain points that plague conventional methods.

8 Best Multiplication Techniques in Vedic Maths

Multiplication with 9, 99, 999, …

This Vedic math  method simplifies multiplication by subtracting each digit from 9, except the last one, which is subtracted from 10. It’s essentially a way to find complements of numbers.

The “All from nine and the last from ten” trick is a powerful tool for multiplying numbers by 9, 99, 999, and so on. By taking advantage of the complementarity of numbers, this technique simplifies calculations and reduces the chance of errors. It’s particularly useful when dealing with large numbers, where mental arithmetic can become daunting.

Example:

Suppose we want to multiply 46 by 99.

Subtract 1 from 46: 46 – 1 = 45.

Complement of 46: 100 – 46 = 54.

Combine: 4554.

Magic with 11

To multiply by 11, simply write the numbers on both sides and add the sum of the digits in between. It’s an easy way to get the result.

The “Magic with 11” trick is a delightful method for quickly multiplying numbers by 11. By leveraging the symmetry of the digits and the simple addition in between, this Vedic mathematics technique allows for rapid mental calculation. It’s a handy tool to have in your mathematical arsenal, especially for everyday calculations where speed is of the essence.

Example:

Let’s multiply 62 by 11.

Write 6 and 2 on the corners: 6 2.

Sum of 6 and 2 (6 + 2 = 8) in between: 682.

Multiplication by 12, 13, 14, … 19

This technique involves placing a dot on both sides of the number and multiplying digits in pairs. It simplifies multiplication by using easy-to-remember patterns.

The “Dot sandwich method” is a clever trick for multiplying numbers by 12, 13, 14, and so on. By strategically placing dots and multiplying digits in pairs, this method streamlines the multiplication process and reduces the chances of errors. It’s a versatile technique that can be applied to a wide range of multiplication problems, making it a valuable tool for mental math.

Example:

Consider multiplying 43 by 12.

Place dots: . 43 .

Multiply in pairs: (2 × 3) + 0 = 6, (2 × 4) + 3 = 11 (carry over).

Combine: 516.

Multiplication of Numbers Near the Base

This method deals with numbers near a base, simplifying multiplication by considering deviations and adding or subtracting accordingly.

The “Paravartya Yojayet Sutra” is a profound concept in Vedic Maths that enables quick and accurate multiplication of numbers near a base. By understanding the deviations from the base and applying the appropriate operations, this technique simplifies complex multiplication problems. It’s a valuable tool for mental arithmetic, allowing for rapid calculation without the need for pen and paper.

Example:

Suppose we want to multiply 104 by 102.

Find the base: 100.

Determine deviations: 4 and 2.

Add and subtract deviations: 106 and 102.

Multiply deviations: 6 × 2 = 12.

Combine: 10812.

Multiplication by 5, 25, 50, 250, …

This method simplifies multiplication by observing patterns and halving accordingly.

The “Multiply by 10 and halve” trick is a straightforward approach to multiplying numbers by 5, 25, 50, and beyond. By recognizing the pattern of multiplication by 10 and adjusting accordingly, this technique simplifies mental arithmetic and reduces the need for complex calculations. It’s a handy tool for quick estimation and problem-solving in various mathematical contexts.

Example:

Suppose we want to multiply 24 by 5.

Multiply by 10: 24 × 10 = 240, halve: 240 ÷ 2 = 120.

Similarly, for other multiples of 5, 25, 50, and beyond, the same halving technique applies.

Vertically and Crosswise Multiplication

This Vedi math trick is a general method of multiplying any two given numbers. It involves multiplying vertically, then crosswise, and finally adding the results.

The “Urdhva-Tiryagbhyam Sutra” is a fundamental technique in Vedic Maths for multiplying any two given numbers. By breaking down the multiplication process into vertical and crosswise steps, this method simplifies complex calculations and reduces the chances of errors. It’s a versatile technique that can be applied to a wide range of multiplication problems, making it an essential tool for mental arithmetic.

Example:

Find 47 × 28:

Multiply vertically in the right-hand column: 7 × 8 = 56 (5 is carried over).

Multiply crosswise and add for ten’s place: (4 × 8) + (7 × 2) = 46 + 5 (carry over) = 51.

Multiply vertically in the left-hand column and add carry over: 4 × 2 = 8 + 5 (carry over) = 13.

So, the answer is 1316.

Times Tables up to 19

Once you’ve memorized tables from 2 to 9, you can easily calculate tables up to 19 using simple addition techniques.

The “Times Tables up to 19” trick is a convenient method for quickly calculating multiplication tables beyond the standard 2-9 range. By leveraging memorized tables and simple addition techniques, this method allows for rapid mental calculation without the need for rote memorization. It’s a valuable skill for students and professionals alike, enabling efficient problem-solving in various mathematical contexts.

Example:

To find 13 × 6:

Memorized: 6 × 6 = 36.

Add 6 (factor of 6) to 36 (result of 6 × 6) = 42.

Algebraic Multiplication

This technique simplifies algebraic multiplication by applying the vertically and crosswise method to binomials and trinomials.

The “Algebraic Multiplication” trick extends the principles of Vedic Maths to algebraic expressions, enabling quick and accurate multiplication of binomials and trinomials. By applying the vertically and crosswise method, this technique simplifies complex algebraic calculations and reduces the chances of errors. It’s a valuable tool for students and professionals working with algebraic expressions, offering a streamlined approach to problem-solving.

Example:

For (x+2) × (3x+4):

Write one binomial under the other.

Multiply vertically, crosswise, and combine to obtain the result.

Conclusion

Vedic Maths multiplication tricks offer a versatile toolkit for simplifying mathematical computations. By mastering these techniques, you can streamline your approach to multiplication, saving time and effort. Whether you’re a student seeking better grades or an adult looking to enhance your mental math skills, Vedic Maths provides an accessible and effective solution. Join Medh’s Vedic Maths course and make solving everyday Maths problems easier!  With these ten remarkable multiplication tricks, you’re equipped to tackle any mathematical challenge with confidence and ease. Practice regularly, and soon you’ll marvel at your newfound proficiency in multiplication

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