Vedic Mathematics is a collection of mathematical techniques that originated in ancient India. These techniques are designed to help you solve mathematical problems quickly and accurately. Here are 8 Vedic Maths Tricks that can help you calculate faster and more accurately:
1. Squaring a number with unit digit 5: To square a two-digit number ending with 5, take the first digit of the number and multiply it by the next higher digit, then add 25 to the result. For example, to find the square of 65, we can do the following calculation: 6 x 7 = 42, and 42 with 25 added to it gives us 4,425.
2. Multiplying by 11: To multiply a two-digit number by 11, add the two digits together and place the result between the original digits. For example, to multiply 23 by 11, we can add 2 and 3 to get 5, and then place 5 between 2 and 3 to get 253.
3. Subtracting from 1000 or 10000: To subtract a number from 1000 or 10000, subtract each digit of the number from 9, and then subtract the result from 10 or 100. For example, to subtract 456 from 1000, we can subtract 4 from 9 to get 5, subtract 5 from 9 to get 4, and subtract 6 from 9 to get 3. Then, we can subtract 543 from 1000 to get 457.
4. Multiplying two numbers close to 100: To multiply two numbers that are close to 100, subtract the difference between each number and 100 from 100, and then multiply the results together. For example, to multiply 98 and 96, we can subtract 2 from 100 to get 98, and subtract 4 from 100 to get 96. Then, we can multiply 98 and 96 to get 9408.
5. Multiplying two numbers with the same tens digit and ones digits that add up to 10: To multiply two numbers that have the same tens digit and ones digits that add up to 10, square the tens digit and then subtract the square from 100, and then multiply the result by 10 and add the product of the ones digits. For example, to multiply 34 and 36, we can square 3 to get 9, subtract 9 from 100 to get 91, multiply 91 by 10 to get 910, and then add 4 times 6 to get 934.
6. Multiplying two numbers with the same tens digit and ones digits that add up to 20: To multiply two numbers that have the same tens digit and ones digits that add up to 20, square the tens digit and then add the square to 100, and then multiply the result by 10 and add the product of the ones digits. For example, to multiply 24 and 26, we can square 2 to get 4, add 4 to 100 to get 104, multiply 104 by 10 to get 1040, and then add 4 times 6 to get 1064.
7. Multiplying any two-digit number by 9: To multiply any two-digit number by 9, subtract the number from 100, and then subtract the result from the original number multiplied by 10. For example, to multiply 23 by 9, we can subtract 23 from 100 to get 77, and then subtract 77 from 230 to get 207.
8. Multiplying any two-digit number by 99: To multiply any two-digit number by 99, subtract the number from 100, and then subtract the result from the original number multiplied by 100. For example, to multiply 23 by 99, we can subtract 23 from 100 to get 77, and then subtract 77 from 2300 to get 2277.
These Vedic Maths Tricks can help you reduce your calculation time in exams and other situations where you need to perform calculations quickly and accurately. With practice, you can master these techniques and become a more efficient mathematician.