AI-generated summary
The document discusses two methods to prove that 0.99... equals 1.
**Method 1**: Let x = 0.99..., then 10x = 9.99..., which can be rewritten as 10x = 9 + x. Solving this gives x = 1.
**Method 2**: The equation 1 = 3 * (1/3) can be expressed as 1 = 3 * (0.33...), leading to the conclusion that 1 = 0.99....
A photo by Bozhin Karaivanov is included.