Vinod Sebastian – B.Tech, M.Com, PGCBM, PGCPM, PGDBIO

Hi I'm a Web Architect by Profession and an Artist by nature. I love empowering People, aligning to Processes and delivering Projects.

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Beautiful Numbers

Numeric Palindrome with 1’s

Palindrome numbers are those that read the same forwards and backward. When we multiply numbers with a pattern of 1’s, we get interesting results:

  • 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

Square of Sequential Inputs of 9

When we square numbers that are sequential inputs of 9, we observe the following interesting patterns:

  • 9 x 9 = 81
  • 99 x 99 = 9801
  • 999 x 999 = 998001
  • 9999 x 9999 = 99980001
  • 99999 x 99999 = 9999800001
  • 999999 x 999999 = 999998000001
  • 9999999 x 9999999 = 99999980000001
  • 99999999 x 99999999 = 9999999800000001
  • 999999999 x 999999999 = 999999998000000001

These beautiful number patterns showcase the magic of mathematics. Share this fascinating information with your friends and spread the joy of numbers!