Tuesday, February 8, 2011

>The Beauty of MatheMazic




                                                      >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

>

>

>Brilliant, isn’t it?

>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=123456789 87654321

2 comments:

Swaroop said...

Dark Horse...you are SUPER!!!!!!

hacker said...

thnkક્ષ્ mam...
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