Beautiful Math.

By Medo Hamdani -
Edited on 29 Jan 2012  by Medo Hamdani 

1 x 8 + 1 = 9
12 x 8 + 2 = 98
123 x 8 + 3 = 987
1234 x 8 + 4 = 9,876
12345 x 8 + 5 = 98,765
123456 x 8 + 6 = 987,654
1234567 x 8 + 7 = 9,876,543
12345678 x 8 + 8 = 98,765,432
123456789 x 8 + 9 = 987,654,321

1 x 9 + 2 = 11
12 x 9 + 3 = 111
123 x 9 + 4 = 1,111
1234 x 9 + 5 = 11,111
12345 x 9 + 6 = 111,111
123456 x 9 + 7 = 1,111,111
1234567 x 9 + 8 = 11,111,111
12345678 x 9 + 9 = 111,111,111
123456789 x 9 +10= 1,111,111,111


9 x 9 + 7 = 88
98 x 9 + 6 = 888
987 x 9 + 5 = 8,888
9876 x 9 + 4 = 88,888
98765 x 9 + 3 = 888,888
987654 x 9 + 2 = 8,888,888
9876543 x 9 + 1 = 88,888,888
98765432 x 9 + 0 = 888,888,888

Brilliant, isn’t it? And look at this symmetry:

1 x 1 = 1
11 x 11 = 121
111 x 111 = 12321
1,111 x 1,111 = 1234321
11,111 x 11,111 = 123454321
111,111 x 111,111 = 12345654321
1,111,111 x 1,111,111 = 1234567654321
11,111,111 x 11,111,111 = 123456787654321
111,111,111 x 111,111,111 = 12345678987654321

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