Module 3 Summary

Thomas J. Kennedy

Contents:

1 Objectives

Having completed this module students are now prepared to:

  1. Discuss the impact of finite precision on error propagation in arithmetic operations involving two operands.
  2. Examine the impact of finite precision on error propagation in arithmetic operations involving three or more operands and one operation (e.g., addition, subtraction, multiplication, and division).
  3. Examine the impact of finite precision on error propagation in arithmetic operations involving three or more operands and combinations of two or more operations).

2 Questions to Consider

  1. How does rounding in math relate to finite precision?
  2. What is the difference between rounding and truncation?
  3. How does rounding error propagate through addition operations?
  4. How does rounding error propagate through subtraction operations?
  5. How does rounding error propagate through multiplication operations?
  6. How does rounding error propagate through division operations?
  7. How does rounding error propagate through chained arithmetic operations?