Problems

1. 1. Write down all the digits of the pop-up calculator's approximation to `9pi//5`.
   2. Write down a 4SD approximation to `9pi//5`.
   3. Explain why `5.66` is not a correct 3SD approximation to `9pi//5`. That is, explain why it is not legitimate to do repeated rounding. What is the correct 3SD approximation?
2. 1. Experiment with the pop-up calculator to determine the smallest positive number it can recognize and display.
   2. Similarly, determine the largest number it can recognize and display.
   3. Estimate the total number of different numbers your calculator can recognize and display. Is this number finite and moderately large, finite and enormously large, or infinite? Why?