Rabu, 20 Februari 2008

The Beauty, Magic, and Miracles of Math

>>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=12345678987654321

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