Vedic Maths is a system of mathematics that originated in ancient India and is still used today to solve complex problems with ease. By using simple techniques and tricks, Vedic Maths can help you improve your math skills and solve problems quickly and accurately. Here are 5 Vedic Maths tricks to get you started.
1. Multiplying by 11.
Multiplying by 11 is a common task in math, but it can be time-consuming if you don't know the trick. To multiply any two-digit number by 11, simply add the two digits together and place the result in the middle. For example, to multiply 23 by 11, add 2 and 3 to get 5, and place it in the middle to get 253. This trick works for any two-digit number.
To multiply a number by 11, add adjacent digits and place the sum between them. For example, for 11 x 45, add 4+5 = 9, so the answer is 495. If the sum is greater than 9, carry over the left digit.
2. 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. Then multiply the differences together and add the result to the number you got by subtracting from 100. For example, to multiply 97 and 94, subtract 3 from 100 and 6 from 100 to get 97 and 94 respectively. Then multiply 3 and 6 to get 18, and add it to 97 to get 1158.
3. Dividing by 9.
Division by 9 using Vedic Maths is simple and efficient. When dividing a number by 9, you can find the quotient by writing down the sum of the digits as you move from left to right. The remainder will be the last digit of the sum. Here are some examples:
Example 1: Divide 315 by 9
Step 1: Write down the first digit: 3
Step 2: Add the next digit to the previous sum: 3 + 1 = 4
Step 3: Add the last digit to the previous sum: 4 + 5 = 9
The sum of the digits is 349.
So, 315 ÷ 9 = 35 (quotient) and the remainder is 0.
Example 2: Divide 1836 by 9
Step 1: Write down the first digit: 1
Step 2: Add the next digit to the previous sum: 1 + 8 = 9
Step 3: Add the next digit to the previous sum: 9 + 3 = 12
Step 4: Add the last digit to the previous sum: 12 + 6 = 18
The sum of the digits is 191218.
So, 1836 ÷ 9 = 204 (quotient) and the remainder is 0.
Example 3: Divide 234 by 9
Step 1: Write down the first digit: 2
Step 2: Add the next digit to the previous sum: 2 + 3 = 5
Step 3: Add the last digit to the previous sum: 5 + 4 = 9
The sum of the digits is 259.
So, 234 ÷ 9 = 26 (quotient) and the remainder is 0
4. Squaring a Number Ending in 5
The Vedic Maths technique for squaring a number ending in 5 is straightforward and efficient. To square a number ending in 5, simply multiply the other digits by the next higher number and then append 25 to the result. Here are some examples to demonstrate the method:
Example 1: Square 65
Step 1: Take the digits other than 5, which is 6.
Step 2: Multiply 6 by the next higher number (6 + 1 = 7), so 6 x 7 = 42.
Step 3: Append 25 to the result: 4225.
So, 652 = 4225.
Example 2: Square 115
Step 1: Take the digits other than 5, which is 11.
Step 2: Multiply 11 by the next higher number (11 + 1 = 12), so 11 x 12 = 132.
Step 3: Append 25 to the result: 13225.
So, 1152 = 13,225.
Example 3: Square 205
Step 1: Take the digits other than 5, which is 20.
Step 2: Multiply 20 by the next higher number (20 + 1 = 21), so 20 x 21 = 420.
Step 3: Append 25 to the result: 42025.
So, 2052 = 42,025.
5. Finding Cube Roots of Perfect Cubes
Finding the cube root of perfect cubes using Vedic Maths involves identifying the cube root of the last digit and the remaining digits. Here are some examples:
Example 1: Find the cube root of 27,000
Step 1: Identify the last digit (unit's place) of the cube: 0. The cube root of 0 is also 0.
Step 2: Ignore the last 3 digits (000) and consider the remaining digits: 27.
Step 3: Find the nearest perfect cube less than or equal to 27: 33 = 27.
Step 4: The cube root of 27 is 3.
So, the cube root of 27,000 is 30.
Example 2: Find the cube root of 175,616
Step 1: Identify the last digit (unit's place) of the cube: 6. The cube root of 6 is 6.
Step 2: Ignore the last 3 digits (616) and consider the remaining digits: 175.
Step 3: Find the nearest perfect cube less than or equal to 175: 53 = 125.
Step 4: The cube root of 125 is 5.
So, the cube root of 175,616 is 56.
Example 3: Find the cube root of 343,000
Step 1: Identify the last digit (unit's place) of the cube: 0. The cube root of 0 is also 0.
Step 2: Ignore the last 3 digits (000) and consider the remaining digits: 343.
Step 3: Find the nearest perfect cube less than or equal to 343: 73 = 343.
Step 4: The cube root of 343 is 7.
So, the cube root of 343,000 is 70.
Discover the power of Vedic maths tricks and boost your mathematical skills with these ingenious calculation techniques. Vedic maths trick is an ancient Indian method that offers a wide range of tricks in Vedic maths, including Vedic math tricks for multiplication, faster calculation tricks, and Vedic maths for beginners. These Vedic mathematics tricks not only help you solve complex problems but also enable you to calculate fast, making them ideal for students preparing for exams or professionals seeking to improve their mental math abilities.
Vedic maths for multiplication incorporates various Vedic maths multiplication tricks, which are designed to make the process more efficient and less time-consuming. Whether you're learning Vedic math for beginners or exploring more advanced techniques, these calculation tricks offer valuable shortcuts to streamline your problem-solving process. Some popular rules of Vedic maths include the Nikhilam multiplication method, the Doubling and Halving technique, and the Vertically and Crosswise technique.
For students in math class 8 and beyond, Vedic maths tricks for fast calculation can be a game-changer, empowering them to tackle challenging problems with ease. Additionally, the Vedic maths formula provides a solid foundation for mastering essential mathematical concepts, while calculation tricks like the Vinculum Method for Complementary Numbers simplify subtraction of large numbers.
In conclusion, learning tricks maths through the Vedic maths system will not only enhance your calculation speed but also help you develop a deeper understanding of mathematical concepts. Start your journey with Vedic maths tricks today and unlock the door to faster and more efficient problem-solving skills.
- What is Vedic Maths?
Vedic Maths is an ancient Indian system of mathematics that was rediscovered in the early 20th century by Sri Bharati Krishna Tirthaji, who derived its principles from the ancient Indian texts called the Vedas. Vedic Maths consists of a set of techniques and shortcuts that make mathematical calculations faster and easier.
- How can Vedic Maths help students?
Vedic Maths helps students by providing faster calculation techniques, simplifying complex problems, and improving mental arithmetic skills. These techniques enable students to solve mathematical problems more efficiently, reduce errors, and build confidence in their mathematical abilities.
- Are Vedic Maths techniques applicable to all levels of mathematics?
Yes, Vedic Maths techniques can be applied to various levels of mathematics, from basic arithmetic to advanced algebra, geometry, and calculus. Vedic Maths is suitable for students of all ages, from elementary school to college level.
- Can Vedic Maths help in competitive exams?
Yes, Vedic Maths can be extremely helpful in competitive exams, where speed and accuracy are crucial. The techniques help students solve problems faster, allowing them to save time and focus on more complex questions.
- How is Vedic Maths different from conventional mathematics?
Vedic Maths provides alternative methods and shortcuts for solving problems, which often differ from conventional mathematics techniques. While conventional methods can be lengthy and time-consuming, Vedic Maths techniques are designed to simplify calculations and make them more efficient.
- Is it difficult to learn Vedic Maths?
Vedic Maths is not difficult to learn. The techniques are based on simple rules and patterns, making them easy to understand and apply. With regular practice, anyone can master Vedic Maths and improve their mathematical skills.
- How can I start learning Vedic Maths?
To start learning Vedic Maths, you can explore books, online resources, or enroll in a course or workshop. Begin with basic techniques, such as multiplication and division shortcuts, and gradually move on to more advanced concepts. Practice regularly to hone your skills and build confidence in using Vedic Maths techniques.
- Can Vedic Maths be used for complex calculations?
Yes, Vedic Maths techniques can be applied to complex calculations, including large number multiplication, division, square roots, cube roots, and algebraic equations. These techniques make solving complex problems faster and more manageable.
- How does Vedic Maths improve mental arithmetic skills?
Vedic Maths techniques often involve mental calculations, which help strengthen mental arithmetic skills. As you practice Vedic Maths, you'll become more adept at performing calculations in your head, improving your overall mathematical abilities.
- Is Vedic Maths applicable to modern mathematics and technology?
Vedic Maths techniques can be applied to modern mathematics and are relevant even in the age of calculators and computers. While technology can perform calculations quickly, Vedic Maths helps enhance problem-solving skills, logical thinking, and mental arithmetic abilities, which are essential for success in various fields.