Trick to multiply any number with multiplier having digit/s 9 (part2)

Last case for multiplying with multipliers such as 9, 99, 999...

check previous parts as they are very useful .part  1part 2


Case 3: If multiplier has more digits than multiplicand. Here there is no much change it is almost same as the first case.

1)  6 * 99

Trick :

  • Make multiplicand with an equal number of as multiplier. here multiplier is of 2 digits so add 0 before 6 to make it two digit number. (It is not mandatory step only to avoid further confusion it is used).
                            06 => multiplicand

  •  subtract 1 from the multiplicand 
                         06 -1 =05


  •   Now find out the compliment of 06  so 06 is subtracted from 100, not 10 as it is 2 digit number 
                            100-06= 94

                   05\94
           
                 Answer: 594

2)  54 * 999

   Trick :

  • 054 (adding 0 to left side of multiplicand).
  • 054-1= 053=> subtract 1 from  multiplicand.
  • compliment of 054 => 1000-054 => 946
            53\946

 Answer: 53946



similarly, do others 

1) 83 * 999 =82917
2)67 * 999 =66933
3) 561 *9999 = 5609439

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