Vedic Multiplication Trick
This method of multiplication from Vedic Maths will make it very easy to multiply two numbers when sum of the last digits is 10 and previous parts are the same. For example multiplications like
23x27 : Sum of Unit digits i.e. 3+7 = 10; Remaining number i.e. 2 is same in both numbers
46x44: Sum of Unit digits i.e. 6+4 = 10; Remaining number i.e. 4 is same in both numbers
112x118: Sum of Unit digits i.e. 2+8 = 10; Remaining number i.e. 11 is same in both numbers
291x299: Sum of Unit digits i.e. 1+9 = 10; Remaining number i.e. 29 is same in both numbers
135x135: Sum of Unit digits i.e. 5+5 = 10; Remaining number i.e. 13 is same in both numbers
Solving 46 x 44
You will get the answer in two parts.
First part, to get left hand side of the answer: multiply the left most digit(s), i.e. 4 by its successor 5
Second part, to get right hand side of the answer: multiply the right most digits of both the numbers i.e. 4 and 6.
First part: 4 x (4+1)
Second part: (4 x 6)
Combined effect: (4 x 5) | (4 x 6) = 2024
*| is just a separator. Left hand side denotes tens place, right hand side denotes units place
37 x 33 = (3 x (3+1)) | (7 x 3) = (3 x 4) | (7 x 3) = 1221
11 x 19 = (1 x (1+1)) | (1 x 9) = (1 x 2) | (1 x 9) = 209
As you can see this method is corollary of "Squaring number ending in 5"
It can also be extended to three digit numbers like :
E.g. 1: 292 x 208.
Here 92 + 08 = 100, L.H.S portion is same i.e. 2
292 x 208 = (2 x 3) x 10 | 92 x 8 (Note: if 3 digit numbers are multiplied, L.H.S has to be multiplied by 10)
60 | 736 (for 100 raise the L.H.S. product by 0) = 60736.
E.g. 2: 848 X 852
Here 48 + 52 = 100,
L.H.S portion is 8 and its next number is 9.
848 x 852 = 8 x 9 x 10 | 48 x 52 (Note: For 48 x 52, use methods shown above)
720 | 2496
[L.H.S product is to be multiplied by 10 and 2 to be carried over because the base is 100].
Eg. 3: 693 x 607
693 x 607 = 6 x 7 x 10 | 93 x 7 = 420 / 651 = 420651.
Note: This Vedic Maths method can also be used to multiply any two different numbers, but it requires several more steps and is sometimes no faster than any other method. Thus try to use it where it is most effective
How do you like this Vedic Maths technique, please let us know. You can also share this with your friends.
Get ready for another trick which will help in finding out the square root of a 4 or 5 or 6 digits number mentally.
Before going further on the method to find the square root, please make a note of the following points –
1) Square of a 2-digit number will have at max 4 digits (99^2 = 9801). That implies if you are given with a 4 digit number, its square root will have 2 digits. Hence, square root of 5 or 6 digit number will be a 3 digit number.
2) This trick works only for perfect squares, it will not work for any arbitrary 4 or 5 or 6 –digit. Check out the method of finding square root of number which is not a perfect square
3) It works only for integers
Now let us start with the trick to find square root in vedic maths way.
Vedic Mathematics is the name given to the ancient mathematics system. The “Bharati Krsna Tirthaji” from the Vedas rediscovered it and according to him, all the mathematics is based on the 16 sutras. These are also known as word formulas. Below are mentioned some of the tips for the students to learn easily and become a master of Vedic math.
It is all about the numbers
Whether numerical or word formulas both of them certainly employ the use of the numbers. Make yourself master of the numbers. Learn the general multiples of all the numbers and make a habit to spend your free time with numbers only. Practice as much as you can and you will be on the right track. You can also figure out something so that you come across these numbers repeatedly. You can paste wallpaper in your room, make some numerical figure as your desktop and subscribe to numerical magazines.
Try to Grip from the Fundamentals and then move forward
Have an approach, which will make youthe basics and fundamentals strong. Once you have a grip over the basics it means half of the work is done. Try to learn what it is all about the “Sutras” and the “Sub sutras” from the starting to the end. What does it all mean? Just solving the examples will not be sufficient but you have to make sure that you have the thorough knowledge of every aspect.
Practice as much as you can
Figures always need practice and you have to make them as your part and parcel. Try to practice every exercise you get your hand on and just solving the problems will not work check the answers also. If you get wrong answers, make sure you look for the right solution and method for a specific problem. There is no end to practice try as many problems as you can since Vedic math is meant to shorten your normal problem solving time pay special attention to any shortcuts you come across and learn them by heart.
Try to Get some Good References
It is always recommended to follow some trusted books. It is always true that right teaching and guidance can do wonders and you have to search both of these for you to get into the right direction. You can follow some good reference books and take some guidance in the form of internet, magazines, friends and family members.
Some Mind and Brain Exercise can do wonders
Since Vedic math is all about the mind, you can learn a few exercises so that your brain is fresh while you start studying the Vedic math.In addition, you can learn how to refresh your mind after several intervals.
Keeping in mind the above tips will certainly give you an edge over the others in learning Vedic math and you can solve lengthy and complicated calculations beating the calculator after learning this math.
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Based on innumerable requests and suggestions, I am conducting an exclusive Vedic Mathematics workshop at Kolkata. I am glad to see the excitement of various maths enthusiasts, students and parents alike for this workshop.
The workshop will be on Vedic Mathematics - quicker calculation techniques that would help you to increase your calculation speed tremendously and sharpen your intellect as a whole.
While doing arithmetic calculations, we should normally check our calculation. But the checking should not be as tedious as the original problem itself. To solve this problem I am explaining below a very frequently used method which is discussed in Vedic Mathematics as well as by many other mathematicians.
Vedic Sutra: Vedic Mathematics Technique
Beejank: The Sum of the digits of a number is called Beejank. If the addition is a two digit number, then these two digits are also to be added up to get a single digit.
To find the Beejank of 632174
Traditionally, multiplication of multiple digit numbers is done as a series of multiplications that are eventually added together to form a final answer. The criss-cross method is a variation on this technique that allows for much quicker processing of the problem without the need for a calculator or extensive use of paper space. There are many situations, such as trips to the grocery store, where you will find a need to perform multiplication of odd numbers in order to stay within a budget as you shop.
This system of multiplication is adopted from Vedic Mathematics' URDHVA-TIRYAK SUTRA, which means vertically and cross-wise.
To start with, we will look at a simple example just to get a grasp on the steps involved in the method. Later we will apply it to a slightly more advanced problem to show how to handle carrying numbers from one digit to the next. For now, we will multiply 111 by 111.
Squaring any number ending in 9
We can easily calculate the square of any number ending in 9 using the method described in this post. Let us understand this method with the help of an example –
Finding the square of 39
Firstly add 1 to the number. The number now ends in zero and is easy to square.
40^2 = (4*4*10*10) = 1600. This is our subtotal.
In the next step, add 40 plus 39 (the number we squared plus the number we want to square)
Origin of Vedic Maths or Vedic Ganit
At the beginning of the twentieth century, when there was a great interest in the Sanskrit texts in Europe, Bharati Krsna Swamiji tells us some scholars ridiculed certain texts which were headed 'Ganita Sutras'- which means mathematics. They could find no mathematics in the translation and dismissed the texts as rubbish. Bharati Krsna Swamiji, who was himself a scholar of Sanskrit, Mathematics, History and Philosophy, studied these texts and after lengthy and careful investigation was able to reconstruct the mathematics of the Vedas. According to his research all of mathematics is based on sixteen Sutras, or word-formulae.
Bharati Krsna wrote sixteen volumes expounding the Vedic system, which you can find in the book named Vedic Mathematics by Bharati Krsna Tirthaji. These sutras were unaccountably lost and when the loss was confirmed in his final years he wrote a single book: Vedic Mathematics, currently available. It was published in 1965, five years after his death. The term Vedic Mathematics now refers to a set of sixteen mathematical formulae or sutras and their corollaries derived from the Vedas.
You can find more details about Origin of Vedic Maths on wikipedia
Base method of multiplication derived from Vedic Mathematics can be applied for multiplication of two numbers close to 100.
This post in is in continuation of an earlier post named "Vedic Multiplication of two numbers close to hundred". Though you can understand this post stand alone, yet I'll recommend you to read the linked post before reading this one.
In this post I'll explain how to multiply two numbers lesser than the base (in this case 100). In the earlier post it was about both numbers more than 100.
I’ll share with you one simple method of finding the square of numbers between 50 and 60. Like many other Vedic Mathematics methods, in this method also, we will get the answer in two parts. Since the numbers are in 50s and square of 50 is 2500, we will just use 25 in our calculations, ignoring the zeros.
- To get the first part of the answer, add the digit at the units place to 25 and write the sum
- To get the second part, calculate the square of units place digit and write it
It’ll be easier to understand this with an example.