Absolute and Relative Errors : Three-Digit Chopping and Rounding Arithmetic
Response to the following problems. Provide step by step calculations.
Compute the absolute error and the relative error in approximations of p by p*.
a) p = π , p* = 22/7
Perform the the following computations i) exactly, ii) using three-digit chopping arithmetic, iii) using three digit rounding arithmetic. iv) Compute the relative errors in parts ii) and iii).
a) 4/5+1/3 b) 4/5+1/3 c) (1/3-3/11)+3/20