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Sunday 9 March 2014

MULTIPLICATION TRICK-2


Nikhilam Navatah charamam Dasatah

    In this method 10,100,1000 … are taken as base and multiplication   of numbers nearer to these bases can be done easily.
 for example-
         96    -  04       //as the   number is less than 100 by 4                             
    ×   93    -  07      //as the   number is less than 100 by 7
---------------------------------                                         
  (96-07)or(93-04) / (-04)x(-07)        //step - 1: multiply -04 and -07
   = 89 / 28                                        //step-2 : write 96 - 07 or 93 - 04
   =  8928
     1007    +  007     //as the   number is greater than 1000 by 7                             
×   1005    +  005      //as the   number is greater than 1000 by5
---------------------------------                                         
  (1007+5)or(1005+7) / (005)x(007)        //step - 1: multiply 005 and 007
   =1012/035                                        //step-2 : write (1007+5)or(1005+7)
   =  1012035
Now,Bit tricky
   96    -  04       //as the   number is less than 100 by 4                             
×111  +   11    //as the   number is greater than 100 by 11
---------------------------------                                         
  (96+11)or(111-04) / (11)x(-04)        //step - 1: multiply 11 and -04
   = 107 / -44                                    //step-2 : write (96+11)or(111-04)
   =  107-1/100-44 =10656     //step-3 :Subtract right side from 100
                                                                                     and from left side subtract 1



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