Vedic Mathematics - Magical Methods 2

The previous post in this topic was useful in solving mathematical problems which
involved finding the square of numbers ending with '5'. Then naturally, the question arises as to what method one could adopt for other items. Well..Vedic Mathematics has a solution to any such problems. Only thing is that it simplyfies everything.

Vedic Mathematics works on the ancient Indian teaching system. It is simple and easy to learn. With these you can do the following:

1. Solve mathematical Problems 10 - 15 times faster


2. Reduce burden - Makes multiplication and division easier


3. Increase concentration

Now we can try to find out whether the Magical Method 1 can be used cases other

than finding the square of numbers ending with 5. Lets try with one simple example.

Example 1 : 13 X 17

    13 X
    17
 --------
    91
   13
 --------
   221
 ========

Now let us try applying the Magical Methods

    1  3 X
    1  7
 --------------------------
 ((1+1) X 1)   (3X7)
 --------------------------
Makes it   (2)  (21)
 ==========================

Great!...It works here too..

Let us now consider another example

Example 2: 54 X 56

    54 X
    56
 --------
   324
  270
 --------
  3024
 ========

Using Magical Methods

    5  4 X
    5  6
 --------------------------
 ((5+1) X 5)   (4X6)
 --------------------------
Makes it   (30)  (24)
 ==========================

Example 3: 88 X 82

    88 X
    82
 --------
   176
  704
 --------
  7216
 ========

Using Magical Methods

    88 X
    82
 --------
  7216
 ========

Summary:
The above method can be applied when you multiply two numbers having the sum of the last digits come to 10 and the tenth place being the same

Vedic Mathematics - Magical Methods 1

We can simplify most of our mathematical calculations using the magical methods.

In this method I will illustrate the a simple multiplication operation.

Example 1 : 25 X 25

    25 X
    25
 --------
   125
   50
 --------
   625
 ========

Now let us consider how to do this using Magical Method

     25 X
     25
 --------
    625
 ========

Let me explain you how I did this

1. First Multiply the last two digits - this will be the last digits of the product
   ==> here 5 X 5 = 25.


2. Now add one to the top left hand corner digit
   ==> here 2 + 1 = 3


3. Multiply this sum with the left hand bottom digit. This will be the 1st digits of the product
   ==> here 2 X 3 = 6


4. Combine (3) and (1) together to form the product.
   ==> here (6) and (25) ==> 625

To make everything simpler

     2  5 X
    2  5
 --------------------------
 ((2+1) X 2)   (5X5)
 --------------------------
Makes it   (6)  (25)
 ==========================

Let us consider another example

Example 2 : 75 X 75

    75 X
    75
 --------
   375
  525
 --------
  5625
 ========

Now let us try out the Magical method for this

    7  5 X
    7  5
 --------------------------
 ((7+1) X 7)   (5X5)
 --------------------------
Makes it   (56)  (25)
 ==========================

Example 3 : 95 X 95

    95 X
    95
 --------
   475
  855
 --------
  9025
 ========

Now let us try out the Magical method for this

    9 5 X
    9 5
 -----------------
   90    25
 =================

Students can have great advantages once they master these methods. These methods are relatevly simple compared to the traditional methods.

Mumbai Blasts

The serial blasts which took place in the Economic capital of India, Mumbai, on Tuesday evening has sent shock waves across the country. Such terrorist activities should be stopped and people should start protesting against this.

Please post your comments on this.

++Ganesh