Vedicmaths

PRESENTED BY SRIRAM K

What is vedic maths?

16 Sutras

Why sutras?

Simple & Easy than the conventional system

Reasons you feel “blocked” when it comes to mental math:

Conditioning

Technique

Memory

Add 187 and 444

Step 1: 1+4=5  5

Step 2: 8+4=12  62

Step 3: 7+4=11  631

1 8 7

4 4 4

6 3 1

Sub 286 from 444

Step 1: 4-2=2

Step 2: 4-8=-4 (4 bar)

Step 3: 4-6=-2 (2 bar)

4 4 4

2 8 6

2 / -4 -2

Step 4: Answer  200-42=158

Sub 168 from 543

Step 1: 5-1=4

Step 2: 4-6=-2 (2 bar)

Step 3: 3-8=-5 (5 bar)

5 4 3

1 6 8

4 / -2 -5

Step 4: Answer  400-25=375

Sub 1908 from 6767

Step 1: 6-1=5

Step 2: 7-9=-2 (2 bar)

Step 3: 6-0=6

Step 4: 7-8=-1 (1 bar)

6 7 6 7

1 9 0 8

5 -2 / 6 -1

Step 5: 50-2=48 / 60-1=59

Answer  4859

Sub 2877 from 6593

Step 1: 6-2=4

Step 2: 5-8=-3 (3 bar)

Step 3: 9-7=2

Step 4: 3-7=-4 (4 bar)

6 5 9 3

2 8 7 7

4 -3 / 2 -4

Step 5: 40-3=37 / 20-4=16

Answer  3716

26 X 11 = 2 8 6

72 X 11 = 7 9 2

77 X 11 = 7 1 4 7 = 847

234 X 11 = 2 5 7 4

777 X 11 = 7 1 4 1 4 7 = 8 5 4 7

13/9 = Q  1 R  1+3=4

34/9 = Q  3 R  3+4=7

104/9 = Q  1,1+0=11 R  1+0+4=5

212/9 = Q  2,2+1=3=23 R  2+1+2=5

246/9 = Q  2,2+4=6=26 R  2+4+6=12

Q  26+1=27 R  12-9=3

25 2 = (2 X 3) / 25 = 625 45 2 = (4 X 5) / 25 = 2025 105 2 = (10 X 11) / 25 = 11025

What is base number ?

Base should always be a power of 10

Number of noughts in the base – vital

Base numbers – 10, 100, 1000, etc…

Example 1: multiply 7 and 8 select base as 10 7 -3 8 -2 5 / 6 7 X 8 = 56

Example 2: multiply 11 and 17 select base as 10 11 1 17 7 18 / 7 11 X 17 = 187

Example 3: multiply 12 and 7 select base as 10 12 2 7 -3 9 / -6 90 – 6 = 84 12 X 7 = 84

Example 4: Multiply 86 and 97 Select base as 100 86 -14 97 -03 83 / 52 86 X 97 = 8352

Example 5: Multiply 112 and 106 Select base as 100 112 12 106 06 118 / 72 112 X 106 = 11872

Example 6: Multiply 132 and 86 Select base as 100 102 02 86 -14 88 / -28 8800 – 28 = 8772 132 X 86 = 8772

Example 7: Multiply 18 and 17 Method 1: select base as 10 18 8 17 7 25 / 5 6 30 / 6 18 X 17 = 306

Example 7: Multiply 18 and 17 Method 2: select base as 20 18 -2 17 -3 15 / 6 (15x2) / 6 18 X 17 = 306

Example 8: Multiply 46 and 43 Select base as 50 46 -04 43 -07 2) 39 / 28 19 / 78 46 X 43 = 1978

Example 9: Multiply 78 and 87 select base as 100 78 -22 87 -13 65 / 2 86 67 / 86 78 X 87 = 6786

Example 10: Multiply 206 and 212 select base as 200 206 06 212 12 218 / 72 (218 X 2) / 72 206 X 212 = 43672

Example 11: Multiply 124 and 98 select base as 100 124 24 98 -2 122 / -48 121 / (100-48) 124 X 98 = 12152

Step 1: multiply vertically on the left Step 2: multiply crosswise and add Step 3: multiply vertically on the right a b c d ac / ad+bc / bd

Example 1: multiply 21 and 23 2 1 2 3 4 / 6+2 / 3 4 / 8 / 3 21 X 23 = 483

Example 2: multiply 61 and 32 6 1 3 2 18 / 12+3 / 2 18 / 1 5 / 2 19 / 5 / 2 61 X 32 = 1952

Example 3: multiply 33 and 44 3 3 4 4 12 / 12+12 / 1 2 12 / 2 4 / 1 2 14 / 5 / 2 33 X 44 = 1452

Multiply 124 and 132 1 2 4 1 3 2 1 / 3+2 / 2+4+6 / 4+12 / 8 1 / 5 / 1 2 / 1 6 / 8 1 / 6 / 3 / 6 / 8 124 X 132 = 16368

Multiply 234 and 316 2 3 4 3 1 6 6 / 2+9 / 12+12+3 / 18+4 / 24 6 / 1 1 / 2 7 / 2 2 / 2 4 7 / 3 / 9 / 4 / 4 234 X 316 = 73944

Divide 113 by 89 Select base as 100 Step 1: 89 1 13 11 1 Step 2: 89 1 13 11 11 1 / 24 113/89 Q  1 R  24

Divide 10015 by 89 Select base as 100 Step 1: 89 100 15 11 1 Step 2: 89 100 15 11 11 11

Step 3: 89 100 15 11 11 1 1 112 Step 4: 89 100 15 11 11 1 1 22 112 / 47 10015/89 Q  112 R  47

Divide 11199171 by 99979 Select base as 100000 Step 1: 99979 111 99171 00021 00 021 0 0021 00021 111 101502 Step 2: Q 111+1  112 R 1502+21  1523

Divide 219 by 52 2 2 1 1 9 5 4 / 11 219 / 52 Q  4 R  11

Divide 321 by 63 3 3 2 2 1 6 5 / 6 321 / 63 Q  5 R  6

Divide 17496 by 72 2 1 7 3 4 2 9 0 6 7 2 4 3 / 0 17496 / 72 Q  243 R  0

Divide 33433 by 54 4 3 3 3 4 0 3 3 5 6 2 4 3 3 3 4 5 3 4 3 5 6 1 9 / 7 33433 / 54 Q  619 R  7

Divide 2345 by 48 -2 2 3 3 4 2 5 5 4 8 / 41 2345 / 48 Q  48 R  41

Divide 40342 by 73 to 5 decimal places 3 4 0 5 3 3 4 5 2 . 4 0 1 0 1 0 3 0 7 5 5 2 . 6 3 0 1 3 40342 / 73 = 552.63013

Duplex represented as D D(X) = X 2 D(XY) = 2 x X x Y D(XYZ) = (2 x X x Z) + Y 2 D(ABCD) = (2 x A x D) + (2 x B x C) D(ABCDE) = (2 x A x E) + (2 x B x D) + C 2

Find 43 2 Step 1: D(4) = 16 1 6 Step 2: D(43) = 24 18 4 Step 3: D(3) = 09 1849 43 2 = 1849

Find 64 2 Step 1: D(6) = 36 3 6 Step 2: D(64) = 48 40 8 Step 3: D(4) = 16 4096 64 2 = 4096

Find 341 2 Step 1: D(3) = 09 0 9 Step 2: D(34) = 24 11 4 Step 3: D(341) = 22 116 2 Step 4: D(41) = 08 1162 8 Step 5: D(1) = 01 116281 341 2 = 116281

Find square root of 2704 2 7 2 0 0 4 = 52 square root of 2704 is 52

Find square root of 2116 2 1 5 1 3 6 = 46 square root of 2116 is 46

Find square root of 1444 1 4 5 4 0 4 = 39 (wrong) 1 4 5 4 6 4 = 38 Square root of 1444 is 38

Find square root of 3000 3 0 5 0 0 0 = 55 3 0 5 0 10 0 = 54 square root of 3000 is 54.xx

x co-efficient = diff of y co-ordinates y co=efficient = diff of x co-ordinates substitute any one point to the equation to get the constant

Find eq of line passing through the points (9,7) and (5,2) Step 1: (7-2)x – (9-5)y 5x-4y Step 2: Sub any one point in the above eqn 5(9) - 4(7) = 17 Hence, the req. eqn is 5x-4y=17

Find eq of line passing through the points (2,-3) and (4,-7) Step 1: (-3+7)x – (2-4)y 4x+2y 2x+y Step 2: Sub any one point in the above eqn 2(2) + (-3) = 1 Hence, the req. eqn is 2x+y=1