数学之美

zzzxxxooo · 发表于 2009-4-7 07:57:11

[color="Navy"]
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

Nice one:
111.111.111  x  111.111.111 = 12.345.678.987. 654.321

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

HARRISON · 发表于 2009-4-7 22:19:38

:beyond_endurance: :beyond_endurance:

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