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 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