12. Numerical and Qualitative Methods

Error Interpretation — Quiz

Test your understanding of error interpretation with 5 practice questions.

Practice Questions

Question 1

A numerical method gives an approximation of $4.7$ for a quantity whose exact value is $5.0$. What is the absolute error?

Question 2

A numerical method gives an approximation of $76$ for a quantity whose exact value is $80$. What is the relative error?

Question 3

If a numerical approximation is larger than the exact value, what is the approximation called?

Question 4

If a numerical approximation is smaller than the exact value, what is the approximation called?

Question 5

In Euler's method, what usually happens to the numerical error when the step size $h$ is made smaller?