Beauty of Maths

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 look at this symmetry:
.
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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