Absolutely amazing! Beauty of Maths!
1x 8 + 1 = 9
12x 8 + 2 = 98
123x 8 + 3 = 987
1234x 8 + 4 = 9876
12345x 8 + 5 = 98765
123456x 8 + 6 = 987654
1234567x 8 + 7 = 9876543
12345678x 8 + 8 = 98765432
123456789x 8 + 9 = 987654321
1x 9 + 2 = 11
12x 9 + 3 = 111
123x 9 + 4 = 1111
1234x 9 + 5 = 11111
12345x 9 + 6 = 111111
123456x 9 + 7 = 1111111
1234567x 9 + 8 = 11111111
12345678x 9 + 9 = 111111111
123456789x 9 +10= 1111111111
9x 9 + 7 = 88
98x 9 + 6 = 888
987x 9 + 5 = 8888
9876x 9 + 4 = 88888
98765x 9 + 3 = 888888
987654x 9 + 2 = 8888888
9876543x 9 + 1 = 88888888
98765432x 9 + 0 = 888888888
Brilliant, isn't it?
And look at this symmetry:
1x 1 = 1
11x 11 = 121
111x 111 = 12321
1111x 1111 = 1234321
11111x 11111 = 123454321
111111x 111111 = 12345654321
1111111x 1111111 = 1234567654321
11111111x 11111111 = 123456787654321
111111111x 111111111=12345678987654321
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