Labels:text | font | screenshot OCR: (Solution to problem 2. continued.) Scientific theories and technological development both require accurate measurements. Since every measurement is an approximation, an important aspect of scientific and technical work is the analysis of experimental error and the control of the propagation of error when computations are made using measured quantities. The use of computers to solve complex problems by numerical methods has made error analysis even more important because computers approximate real numbers using finite decimals. Moreover, computers represent numbers internally using a floating point binary representa- tion. Even though it is not really necessary to understand the binary numeration system to work with computers, such knowledge is essential to the analysis and control of erro ...