Amazing maths tricks
Multiply of 37 by multiplies of 3:
     3 x 37 = 111
     6 x 37 = 222
     9 x 37 = 333
    12 x 37 = 444
    15 x 37 = 555
    18 x 37 = 666
    21 x 37 = 777
    24 x 37 = 888
    27 x 37 = 999
 
                   Trapeze:
                 1 x 9 + 2 = 11
                12 x 9 + 3 = 111
               123 x 9 + 4 = 1111
              1234 x 9 + 5 = 11111
             12345 x 9 + 6 = 111111
            123456 x 9 + 7 = 1111111
           1234567 x 9 + 8 = 11111111
          12345678 x 9 + 9 = 111111111
              another Trapeze:
                 1 x 8 + 1 = 9
                12 x 8 + 2 = 98
               123 x 8 + 3 = 987
              1234 x 8 + 4 = 9876
             12345 x 8 + 5 = 98765
            123456 x 8 + 6 = 987654
           1234567 x 8 + 7 = 9876543
          12345678 x 8 + 8 = 98765432
         123456789 x 8 + 9 = 987654321
                  
                 and another one:
                 0 x 9 + 8    = 8
                 9 x 9 + 7    = 88
                98 x 9 + 6    = 888
               987 x 9 + 5    = 8888
              9876 x 9 + 4    = 88888
             98765 x 9 + 3    = 888888
            987654 x 9 + 2    = 8888888
           9876543 x 9 + 1    = 88888888
          98765432 x 9 + 0    = 888888888
         987654321 x 9 - 1    = 8888888888
        9876543210 x 9 - 2    = 88888888888
 
 
                    Nice one:
       And finally, take a look at this symmetry:
                     1 x 1 = 1
                    11 x 11 = 121
                  111 x 111 = 12321
               1111 x 1111 = 1234321
             11111 x 11111 = 123454321
           111111 x 111111 = 12345654321
         1111111 x 1111111 = 1234567654321
       11111111 x 11111111 = 123456787654321
     111111111 x 111111111 = 12345678987654321
  111.111.111  x  111.111.111 = 12.345.678.987.654.321
Best if luck
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Amazing maths tricks Trapeze try this
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