vedic mathemayics

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VEDIC MATHEMATICS

Vedic Mathematics is a wide range of techniques to simplify numerical calculations. It is a group of ‘Sutras.’

Also it approaches in a simple way of solving problems than the traditional way of calculation.

Vedic Mathematics is the name given to a supposedly ancient system of calculations which was rediscovered from the Vedas between 1911 and 1918 by Bharathi

Krishna Thirthaji Maharaj. According to him, all Vedic

Math is based on 16 Sutras and vertically and crosswise formulae. These methods make Arithmetic more easily enjoyable and innovative. Since Vedic Math is based on

16 sutras, it creates powerful and creative effects in the mind of the students. It promotes mental and flexible solutions in the mind of the students. It carries

Multiplication in one line step and Natural works in the mind of the students.

As this method is not taken from Vedas, it is mentioned in the ‘ATHARVA VEDA’.

Contributed by Mrs. MinI Sekhar, PRT, KV No.1 Palakkad, Thiruvananthapuram Region

HOW THE VEDIC MATHE MATICS IS DIFFERENT FROM

THE METHOD OF ABACUS?

Abacus is the method originated from CHINA.

But Vedic

Mathe matics is purely Indian System .lso Abacus is handling only Arithmetic, but through Vedic, we can handle Algebra arithmetic, calculus, Geometry etc.

This system can handle any students in any age. It contains a list of mental calculation techniques claimed to be based on Vedas.

DIFFERENT WAYS OF MULTIPLICATION IN VEDIC MATHS

Multiplying by 11 [

To multiply any number by 11 do the following:

Working from right to left

1. Write the rightmost digit of the starting number down.

2. Add each pair of digits and write the results down, (carrying digits where necessary right to left ).

3. Finally write down the left most digit (adding any final carry if necessary).

It's as simple as that, e.g.

 Multiply 712x11

712x11=7832

Contributed by Mrs. MinI Sekhar, PRT, KV No.1 Palakkad, Thiruvananthapuram Region

Multiplying two numbers close to 100

The above technique actually works for any two numbers but it is only useful if it results in an easier process than traditional long multiplication. The key thing to remember is that with this technique you end up multiplying the subtracted numbers instead of the original numbers, i.e. it is only easier than normal multiplication if these subtracted numbers are smaller than the original numbers, hence the reason why we only used the above technique for numbers greater than

5, (since the subtracted numbers will then be 4 or smaller).

When the technique is extended to double digit numbers, you subtract each from 100 during the 'Vertically' stage instead of subtracting them from 10 so the technique is only easier if the result of this subtraction is small for one or both of the numbers, this is obviously the case when one or both of the numbers are close to 100. Take a look at the following example:

CROSS WISE METHOD OF MULTIPLICATION

Multiply 89 x 97

So 89x97=8633 .

Contributed by Mrs. MinI Sekhar, PRT, KV No.1 Palakkad, Thiruvananthapuram Region

Multiply 95 x 93

95x93=8835

Multiply 97 x 69

97x69=6693

Multiply 96 x 88

The same technique works for numbers slightly over 100 except you now have to add during the

Crosswise

step. e.g.

Contributed by Mrs. MinI Sekhar, PRT, KV No.1 Palakkad, Thiruvananthapuram Region

Multiply 105 x 107

105x107=11235

GOOD AT VEDIC

METHOD OF KRIS -CROSS IN MULTIPLICATION

Contributed by Mrs. MinI Sekhar, PRT, KV No.1 Palakkad, Thiruvananthapuram Region

Contributed by Mrs. MinI Sekhar, PRT, KV No.1 Palakkad, Thiruvananthapuram Region

MULTIPLICATION OF 3 DIGIT BY3 DIGIT

NUMBER

3 9 1X

2 7 4

4

3 9 1X

2 7 4

3 4

Contributed by Mrs. MinI Sekhar, PRT, KV No.1 Palakkad, Thiruvananthapuram Region

3 9 1X

2 7 4

1 3 4

3 9 1X

2 7 4

7 1 3 4

3 9 1X

2 7 4

10 7 1 3 4

391X274= 107134

Contributed by Mrs. MinI Sekhar, PRT, KV No.1 Palakkad, Thiruvananthapuram Region

SQUARES OF TWO DIGITS NUMBER

ENDING WITH 5

45X 65X 75X

45 65 75

2025 4225 5625

MULTIPLICATION OF TWO DIGIT

NUMBERS BETWEEN 50 AND 60

57X 54X

57 54

3249 2916

53X 59X

53 59

2809 3481

METHOD 5X5=25+7=32

7X7= 49

57X57 =3249

Contributed by Mrs. MinI Sekhar, PRT, KV No.1 Palakkad, Thiruvananthapuram Region

MULTIPLICATION BY 12

247X 3215X

12 12

2964 38580

Take the double of the first number

Take the double of the second number and add with the first number

Take the double of the third number and add with the second number (add the remainder if it is there)

Write the last digit as same.

Multiplication by the series of 9

654x 9994x 45x

999 9999 999

653346 99930006 044955

162x

9999

1619838

Contributed by Mrs. MinI Sekhar, PRT, KV No.1 Palakkad, Thiruvananthapuram Region

OTHER TECHNIQUES IN

MULTIPLICATION

1202X 4808X

44 11

52888

ADVANTAGES OF KRIS -CROSS

METHOD OF MULTIPLICATION

It is simple

Very useful in competitive examination and entrance examination

It is a common method for all type of multiplication.

Division by 50

 634÷50= 12.68

 1356÷50= 27.12

 2378÷50= 47.56

Contributed by Mrs. MinI Sekhar, PRT, KV No.1 Palakkad, Thiruvananthapuram Region

MAGIC SQUARES

Magic square is a square of 9 numbers arranged in such a way that the sum of the numbers in rows coloumns and the diagonal wise of the squares are same.

4 3 8

9

2

5

7

1

6

Sum of all numbers from 1 to 9 is 15.

RULE:

write the middle most number in the middle box

Add 1 to that number and subtract 1 to that number and write in corner coloumn.

Add 3 to that number and subtract 3 from that number should write in the next corner coloumn.

Add 2 to that number and subtract 2 from that number should write in the middle coloumn.

Add 4 to that number and subtract 4 from that number should write in the horizontal coloumn.

Contributed by Mrs. MinI Sekhar, PRT, KV No.1 Palakkad, Thiruvananthapuram Region

SPECIALITY OF MAGIC SQUARES

The first and the last number of the magic square should be in the extreme end of the row.

The middle most number will be the quotient of the total number of coloumns divide by 2 and it is rounded to the next whole number.

The sum of the numbers in a row is the product of the middle number and the number of rows in that magic square.

‘MATHEMATICS IS NOT ALWAYS

HARD, IT IS SIMPLE,INTERESTING

AND DELIGHTFUL.

Thank you,

Mini Sekhar.S

K.V.NO.1 PALAKKAD

Contributed by Mrs. MinI Sekhar, PRT, KV No.1 Palakkad, Thiruvananthapuram Region

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