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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Calculate the absolute error if the exact value is 50 and the approximate value is 48.
💡 Hint: Remember to subtract the approximate value from the exact value.
Question 2
Easy
What does relative error indicate?
💡 Hint: Think of it as a percentage of the exact value.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What is absolute error?
- The difference between the exact and approximate values
- The fraction of error in relation to the exact value
- An error due to algorithm choice
💡 Hint: Think of it as a simple subtraction.
Question 2
Round-off errors occur because numbers are represented with limited precision in computers.
- True
- False
💡 Hint: Recall how computers can't store all numbers exactly.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given an exact number of 200 and an approximate value of 195, calculate both the absolute and relative errors. Discuss what these errors imply about the approximation.
💡 Hint: Calculate the absolute error first, then use it to find the relative error.
Question 2
Consider a function that uses the trapezoidal rule for integration. If using 5 intervals gives an approximation of 12.5 while the exact integral is 15, evaluate the truncation error and discuss possible improvements to the method.
💡 Hint: Look at how many intervals you can use to make a more precise calculation.
Challenge and get performance evaluation