PRESENTED BY SRIRAM K
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PRESENTED BYSRIRAM 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:
ConditioningTechniqueMemory
Add 187 and 444Step 1: 1+4=5 5Step 2: 8+4=12 62Step 3: 7+4=11 631
1 8 74 4 46 3 1
Sub 286 from 444Step 1: 4-2=2 Step 2: 4-8=-4 (4 bar)Step 3: 4-6=-2 (2 bar)
4 4 4 2 8 62 / -4 -2
Step 4: Answer 200-42=158
Sub 168 from 543Step 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 6767Step 1: 6-1=5 Step 2: 7-9=-2 (2 bar)Step 3: 6-0=6Step 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 6593Step 1: 6-2=4 Step 2: 5-8=-3 (3 bar)Step 3: 9-7=2Step 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 14 7 = 847
234 X 11 = 2 5 7 4 777 X 11 = 7 14 14 7 = 8 5 4 7
13/9 = Q1 R1+3=434/9 = Q 3 R 3+4=7104/9 = Q 1,1+0=11 R 1+0+4=5212/9 = Q 2,2+1=3=23 R 2+1+2=5246/9 = Q 2,2+4=6=26 R 2+4+6=12
Q 26+1=27 R 12-9=3
252 = (2 X 3) / 25 = 625
452 = (4 X 5) / 25 = 2025
1052 = (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 -38 -25 / 6
7 X 8 = 56
Example 2: multiply 11 and 17
select base as 10
11 117 718 / 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 -1497 -0383 / 52
86 X 97 = 8352
Example 5: Multiply 112 and 106
Select base as 100
112 12106 06118 / 72
112 X 106 = 11872
Example 6: Multiply 132 and 86
Select base as 100
102 02 86 -1488 / -28
8800 – 28 = 8772
132 X 86 = 8772
Example 7: Multiply 18 and 17
Method 1:select base as 10
18 817 725 / 56
30 / 6
18 X 17 = 306
Example 7: Multiply 18 and 17
Method 2: select base as 20
18 -217 -315 / 6
(15x2) / 6
18 X 17 = 306
Example 8: Multiply 46 and 43
Select base as 50
46 -0443 -07
2) 39 / 2819 / 78
46 X 43 = 1978
Example 9: Multiply 78 and 87
select base as 10078 -2287 -1365 / 286
67 / 86
78 X 87 = 6786
Example 10: Multiply 206 and 212
select base as 200206 06212 12218 / 72
(218 X 2) / 72
206 X 212 = 43672
Example 11: Multiply 124 and 98
select base as 100124 24 98 -2122 / -48 121 / (100-48)
124 X 98 = 12152
Step 1: multiply vertically on the leftStep 2: multiply crosswise and addStep 3: multiply vertically on the right
a bc d
ac / ad+bc / bd
Example 1: multiply 21 and 23
2 12 34 / 6+2 / 34 / 8 / 3
21 X 23 = 483
Example 2: multiply 61 and 32
6 13 2
18 / 12+3 / 2 18 / 15 / 2
19 / 5 / 2
61 X 32 = 1952
Example 3: multiply 33 and 44
3 34 4
12 / 12+12 / 12
12 / 24 / 12
14 / 5 / 2
33 X 44 = 1452
Multiply 124 and 1321 2 41 3 21 / 3+2 / 2+4+6 / 4+12 / 81 / 5 / 12 / 16 / 8
1 / 6 / 3 / 6 / 8
124 X 132 = 16368
Multiply 234 and 3162 3 43 1 66 / 2+9 / 12+12+3 / 18+4 / 246 / 11 / 27 / 22 / 24
7 / 3 / 9 / 4 / 4
234 X 316 = 73944
Divide 113 by 89Select base as 100
Step 1: 89 1 1311
1Step 2: 89 1 13
11 111 / 24
113/89 Q1 R 24
Divide 10015 by 89Select base as 100
Step 1:89 100 1511
1Step 2:
89 100 1511 11
11
Step 3:89 100 1511 11
1 1 112
Step 4:89 100 1511 11
1 122
112 / 4710015/89 Q112 R47
Divide 11199171 by 99979Select base as 100000
Step 1:99979 111 9917100021 00 021
0 002100021
111 101502 Step 2:
Q 111+1 112R 1502+211523
Divide 219 by 52
2 2 1 19
5 4 / 11
219 / 52 Q 4 R 11
Divide 321 by 63
3 3 2 21
6 5 / 6
321 / 63 Q 5 R 6
Divide 17496 by 72
2 1 7 34 29 06
7 2 4 3 / 0
17496 / 72 Q 243 R 0
Divide 33433 by 54
4 3 3 34 03 3
5 6 2
4 3 3 34 53 43
5 6 1 9 / 7
33433 / 54 Q619 R7
Divide 2345 by 48
-2 2 3 34 25
5 4 8 / 41
2345 / 48 Q48 R 41
Divide 40342 by 73 to 5 decimal places
3 4 0 53 34 52 . 40 10 10 30
7 5 5 2 . 6 3 0 1 3
40342 / 73 = 552.63013
Duplex represented as D
D(X) = X2
D(XY) = 2 x X x YD(XYZ) = (2 x X x Z) + Y2
D(ABCD) = (2 x A x D) + (2 x B x C)D(ABCDE) = (2 x A x E) + (2 x B x D) + C2
Find 432
Step 1: D(4) = 16 16
Step 2: D(43) = 24 184
Step 3: D(3) = 09 1849
432 = 1849
Find 642
Step 1: D(6) = 36 36
Step 2: D(64) = 48 408
Step 3: D(4) = 16 4096
642 = 4096
Find 3412
Step 1: D(3) = 09 09
Step 2: D(34) = 24 114
Step 3: D(341) = 22 1162
Step 4: D(41) = 08 11628
Step 5: D(1) = 01 116281
3412 = 116281
Find square root of 2704
2 7 20 04 = 52
square root of 2704 is 52
Find square root of 2116
2 1 51 36 = 46
square root of 2116 is 46
Find square root of 1444
1 4 54 04 = 39 (wrong)
1 4 54 64 = 38
Square root of 1444 is 38
Find square root of 3000
3 0 50 00 = 55
3 0 50 100 = 54
square root of 3000 is 54.xx
x co-efficient = diff of y co-ordinatesy co=efficient = diff of x co-ordinatessubstitute 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)y5x-4yStep 2:Sub any one point in the above eqn5(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)y4x+2y2x+yStep 2:Sub any one point in the above eqn2(2) + (-3) = 1
Hence, the req. eqn is 2x+y=1
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