Multiplying a repeating 1's number by 55

Follow the following Steps:

1. Choose a repeating 1's number (111, etc.)
2. Multiply it by 55
3. The product is:
   - first digit is 6
   - next digits are repeating 1's, two fewer than repeating 1's in the original number
   - last two digits are 05.

   Example:1

1. If the first number is 1111:
2. Multiply by 55. The product is:
   first digit is 6: 6
   next digits are 1's - two fewer than 1's: 11
   last two digits are 05
3. So 1111 × 55 = 61105.

      Example:2

1. If the first number is 111111:
2. Multiply by 55. The product is:
   first digit is 6: 6
   next digits are 1's, two fewer than 1's: 1111
   last two digits are 05
3. So 111111 × 55 = 6111105.