Beauty Of Maths

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