Single Letter Representations of Natural Numbers from 1 to 11111

The natural numbers form 1 to 11111 are written in terms of single letter "a" in two different ways. One running-type expressions, and second fraction-type expressions. In this paper, we worked with running-type expressions. It means the numbers 1 to 11111 are written in terms of single letter "a" . The letter  "a" can have any value from 1 to 9, and the final results is always same. To bring these results, only basic operations, such as, addition, subtraction, multiplication and division  are used. In the end some extra results using potentiation are also given. The fraction-type single letter representations can be see in author's  [17] another work. This is a reorganized version of author's previous work [16].