Vedic Mathematics

What is Vedic Mathematics?

Vedic Mathematics is a super fast way of calculation whereby you can do supposedly complex calculations like 998 x 997 in less than five seconds flat. It is highly beneficial for school and college students and students who are appearing for their entrance examinations. There are 16 sutras or formulae covered in Vedic Maths which solve all known mathematical problems in the branches of Arithmetic, Algebra, Geometry and Calculus. They are easy to understand, easy to apply and easy to remember.

Vertically and Crosswise

One of the sutras is "vertically and crosswise". The sutra "vertically and crosswise" has many uses. One very useful application is helping children who are having trouble with their tables above 5 x 5. For example 7 x 8. 7 is 3 below the base of 10, and 8 is 2 below the base of 10.

The whole approach of Vedic maths is suitable for slow learners, as it is so simple and easy to use. The sutra "vertically and crosswise" is often used in long multiplication. Suppose we wish to multiply 32 by 44. 

Steps

A. First, we multiply vertically 2 x 4 = 8. 

B. Then we multiply crosswise and add the two results: 3 x 4 + 4 x 2 = 20, so put down 0 and carry 2. 

C. Finally we multiply vertically 3 x 4 = 12 and add the carried 2 = 14. Result: 1,408.

We can extend this method to deal with long multiplication of numbers of any size. The great advantage of this system is that the answer can be obtained in one line and mentally. Multiplication can also be carried out starting from the left, which can be better because we write and pronounce numbers from left to right. Here is an example of doing this in a special method for long multiplication of numbers near a base (10, 100, 1,000 etc), for example, 96 by 92.

Steps

A. First, we know that 96 is 4 below the base and 92 is 8 below.

B. Then we can cross-subtract either way: 96 - 8 = 88 or 92 - 4 = 88. This is the first part of the answer.

C. Lastly, multiplying the "differences" vertically 4 x 8 = 32 gives the second part of the answer.

This works equally well for numbers above the base: 105 x 111 = 11,655. Here we add the differences. For 205 x 211 = 43,255, we double the first part of the answer, because 200 is 2 x 100.

Thank you......

Reference's link: http://www.hinduism.co.za/vedic.htm

Fast Math Multiplication

Is there an easy way to calculate? Yes, there is. 

Today,  I would like to share some easy Mathemathics calculation techniques.

With these fast mathematics techniques, even a small kid also can do a question that involves a long calculation in a few seconds. 

We all know that our mind always seeks to get maximum work done using minimum effort.

I am sure that everyone of us wish to solve a question by using the easiest and fastest way because it save time.

First technique

The first technique is fast multiplication that involve multiple 11.

Can you calculate   21432 x 11 = ___     in 6 seconds?

I am sure that most of us will use a harder way to solve it.

Actually, we can solve it by using an easier way as below:

The 1^st digit of the answer is the same as the 1^st digit of 21432, which is 2.

The 2^nd digit of the answer is the sum of the 1^st digit with the 2^nd digit of 21432, which is 2+1=3.

The 3^rd digit of the answer is the sum of the 2^nd digit with the 3^rd digit of 21432, which is 1+4=5.

The 4^th digit of the answer is the sum of the 3^rd digit and the 4^th digit of 21432, which is 4+3=7.

The 5^th digit of the answer is the sum of the 4^th digit and the 5^th digit of 21432, which is 3+2=5.

The 6^th digit of the answer is the same as the last digit of 21432, which is 2.

Therefore, 21432 x 11 = 235752.

Second Technique

The second technique is fast multiplication that involve multiple 12.

Now, let’s solve     1332 x 12 = _______

The 1^st digit of the answer is the same as the 1^st digit of 1332, which is 1.

The 2^nd digit of the answer is the sum of the double of the 1^st digit with the 2^nd digit of 1332, which is ( 2 x 1 ) + 3 = 2 + 3 = 5.

The 3^rd digit of the answer is the sum of the double of the 2^nd digit with the 3^rd digit of 1332, which is ( 2 x 3) + 3 = 6 + 3 = 9.

The 4^th digit of the answer is the sum of the double of the 3^rd digit with the 4^th digit of 1332, which is ( 2 x 3 ) + 2 = 6 + 2 = 8.

The 5^th digit of the answer is double of the last digit of 1332, which is 2 x 2 = 4.

Therefore, the answer for the question 1332 x 12 is 15984.

 

I found out that these techniques are very useful. Home tutor is my part time job and I teach Mathematics. I introduce these fast techniques to my students. I feel grateful when they can understand these techniques and can solve the question correctly in a nick of time.

With these fast calculation techniques, we can get the answer in a short time. 

Is it fun? Yes, it is.

Many people claimed that Mathematics is boring and hard to understand.

But for me,  I think it is fun and entertaining.

Hope you all enjoy it.

~Ewe Sin Hooi

The Lattice Multiplication

The Lattice Multiplication is a method of multiplication that uses a lattice to multiply two multi-digit numbers. It breaks the multiplication process into smaller steps, which some practitioners find easier to use.

Let's start by consider the simple multiplication: 7 x 21

Step 1:

Draw a grid and split each cell diagonally.

Step 2: Consider each cell, beginning with the left cell. The column digit is 2 and the row digit is 7. Write their product 14 in the cell, with the digit 1 above the diagonal and the digit 4 below the diagonal.

Step 3: Fill all the cell in the manner as mention in step 2.

Step 4: Each diagonal sum is written where the diagoanl ends. Numbers are filled to the left and to the bottom of the grid, and the answer is the numbers read off down (on the left and across to the bottom).

Here we gain the answer of 21 x 7 = 147.

Next, we consider another multiplication between two multi-digit: 589 x 256.

Apply lattice multiplication and we gain:

The answer of 589 x 256 is 150784.

~~ "Lattice Multiplication." Wikipedia. Wikimedia Foundation, n.d. Web. 11 Apr. 2016.

(https://en.wikipedia.org/wiki/Lattice_multiplication)