15/02/2006

calcul elementaire

Des maths... surprenants !


                                  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

                                 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
                         123456789 x 9 + 10= 1111111111

                                 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


                Surprenant, n'est-ce pas ? En voici une dernière:

                                    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

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