Date post: | 12-Feb-2017 |
Category: |
Education |
Upload: | culturalcomputingindia |
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Combined Operations(Sum & Difference of
Product)
Vedic MathematicsCultural Computing Initiatives
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Find (42x23) + (33x12)
4 2
2 3
3 3
1 2+
xx
(2x3) + (3x2)[(4x3)+(2x2)] + [(3x2)+(3x1)](4x2) + (3x1)
8 3+ 16 9+ 6 6+
11 25 12
Ans: 2613
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Find (42x31) - (23x14)
4 2
3 1
2 3
1 4-
xx
(2x1) - (3x4)[(4x1)+(2x3)] - [(2x4)+(3x1)](4x3) - (2x1)
12 3- 10 11- 2 12-
9 1 10
Ans: 088029=
Convert Vinculum To Normal
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Find (33x37) + (28x24)
3 3
4 3
3 2
2 4+
xx
(3x3) + (2x4)[(3x3)+(3x4)]+ [(3x4)+(2x2)](3x4) + (3x2)
12 6+ 3 8+ 9 8+
18 11 17
Ans: 3918
37 = 4 3 & 28 = 3 2
701 9=
Convert Vinculum To Normal
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Find (48x34) – (38x27)
5 2
3 4
4 2
3 3-
xx
(2x4) - (2x3)[(5x4)+(2x3)] - [(4x3)+(2x3)](5x3) - (4x3)
15 12- 14 18- 8 6-
3 32 14
Ans: 606
48 = 5 2 & 38 = 4 2 & 27 = 3 3
41 6=
Convert Vinculum To Normal
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Find (32x41) + (21x13) + (33x22)
3 2
4 1
3 3
2 2+
xx
(2x1) + (3x2)[(3x1)+(2x4)] + [(3x2)+(3x2)](3x4) + (3x2)
12 6+ 7 12+ 3 6+
20 30 11
Ans: 1123
2 1
1 3x+
+ (2x1) + [(2x3)+(1x1)] + (1x3)
+2+112 +
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Find (45x43) – (34x21) - (13x32)
4 5
4 3
1 3
3 2-
xx
(5x3) - (3x2)[(4x3)+(5x4)] - [(1x2)+(3x3)](4x4) - (1x3)
16 3- 11 11- 4 6-
7 10 5
Ans: 508
3 4
2 1x-
- (3x2) - [(3x1)+(4x2)] - (4x1)
-15-326 -
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Find (48x31) + (14x33) – (49x37)
5 2
3 1
5 1
4 3-
xx
(2x1) - (1x3)[(5x1)+(2x3)] - [(5x3)+(1x4)](5x3) - (5x4)
15 20+ 15 19- 12 3-
2 33 7
Ans: 731
1 4
3 3x+
+ (1x3) + [(1x3)+(4x3)] + (4x3)
+2+13 -
48 = 5 2 & 49 = 5 1 & 37 = 4 3
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Find (78x51) – (15x88) – (91x17)
1 2 2
5 1
1 1 1
2 3-
xx
(2x1)
- (1x3)
[(1x1)+(2x5)]
- [(1x3)+(1x2)]
(1x5)
- (1x2)
Ans:
1 5
1 1 2x-
- (1x1) - [(1x1)+(5x1)] - (5x2)
78 = 1 2 2 & 88 = 1 1 2 & 91 = 1 1 1 & 17 = 2 3
[(2x1)+(2x5)]
- [(1x3)+(1x2)]
- [(1x2)+(5x1)]
5
- 1
2-
9
4-
5-
12
7-
5-
2
10-
3-
2 8 111011 9=
Convert Vinculum To Normal
2
111 1
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Find (128x55) + (22x111) – (108x27)
1 3 2
5 5
1 1 2
3 3-
xx
5 3+ 4 0- 2 6-
4 24 14
Ans: 656
2 2
1 1 1x+
+10+202 -
128 = 1 3 2 & 108 = 1 1 2 & 27 = 3 3
4 9-
18
+5
47 5=
Convert Vinculum To Normal
6
6