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Vedic Maths multiplication trick


Condition :  This trick is used when we multiply quickly two similar numbers with unit digit adding up to 10.( All digits are similar other then unit digit)

Example.  57×53 , 91×99 ,114×116 , 102×108


Illustration 1 :   
107×103

Solution:         
1st part / 2nd part (2 digits)

step 1→ 10×(10+1) /  7×3
step 2→ 10×11        /  21
step 3→ 110             /  21

Answer is 11021



Illustration 2 :   
119×111

Solution:         
1st part / 2nd part (2 digits)

step 1→ 11×(11+1) /  9×1
step 2→ 11×12        /  09 (because 2nd part of 2 digits)
step 3→ 132             /  09

Answer is 13209



Illustration 3 :   
152×158

Solution:
1st part / 2nd part (2 digits)

step 1→ 15×(15+1) /  2×8
step 2→ 15×16        /  16
step 3→ 240             /  16

Answer is 24016



Illustration 4 :   
64×66

Solution:         
1st part / 2nd part (2 digits)

step 1→ 6×(6+1) /  4×6
step 2→ 6×7        /  24
step 3→ 42           /  24

Answer is 4224

Note:  2nd part have always 2 digits.




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