MATHS TRICK #7

Maths Trick # 7 plays the multiplication of a number which is greater than 100 .

Example #1

                   625 X 11

Step 1 : Prefix a zero before the number given here... Then the  new number is    0 6 2 5

Step 2 : The unit digit of the number  should  be placed at the unit place of the product without any hesitation.
        
              0 6 2 5       X       11
           
                       5
Step 3 : Add up the unit and tens and the sum is placed at tens place


             0 6 2 5         X       11

                    75
 Step 4 : Add up the numbers  in the places tens and hundreds

              0 6 2 5       X         11

                 8 7 5
Step 5 :  Add up the places Hundreds and the already given zero

               0 6 2 5       X        11
                  
               6 8 7 5
               =====

Example # 2

                         5 4 2 1  X  1 1

Step 1 :            0 5 4 2 1
Step 2 :                        1
Step 3 :                     3 1       (2+1   = 3)
step 4  :                  6 3 1       (4+2   = 6)
Step 5 :               9 6 3 1       (5+4   = 9)        
Step 6 :            5 9 6 3 1       (0 + 5 = 5)

5421  X  11  =  59631
                         =====

Example #3

                  695 X 11

Step 1 :          0 6 9 5
Step 2 :                   5
Step 3 :                4 5  (9 + 5 = 14,   put 4  in the 10th place and the remainder 1 is added   to 100th place. Then the 100th place is 7 instead of 6)
Step 4 :             6  4 5    (7 + 9 = 16 . Put 6 in the 100th place and add the remainder 1 to 1000th place)
Step 5 :          7 6  4 5     (1 + 6 = 7)

695 X 11 = 7645

Example # 4

                      65321 X 11

                                             0   6   5   3    2  1
                                             7   1   8   5    3  1

Exercise
1. 5689 X 11       2.  7259 X 11