This document discusses floating point numbers and their limitations in representing values accurately in programs. It provides two code examples to illustrate these limitations. The first program fails an assertion because adding 0.001 repeatedly does not equal 1.000 due to rounding errors. The second program enters an infinite loop because floating point numbers lose precision, causing the loop condition f < 20000000.0 to never become false. The document concludes with a brief tutorial on floating point numbers and the IEEE 754 standard, explaining why these issues occurred.