1. Numerical Error and Computation

Propagation Of Error — Quiz

Test your understanding of propagation of error with 5 practice questions.

Practice Questions

Question 1

If $x=10\pm 0.2$ and $y=5\pm 0.1$, what is the maximum absolute error in $x+y$?

Question 2

If a number is rounded to the nearest $0.01$, what is the maximum absolute error?

Question 3

If $z=ab$ and $a$ has relative error $2\%$ while $b$ has relative error $3\%$, what is the approximate relative error in $z$?

Question 4

Which operation is most likely to cause loss of significant digits when the two numbers are very close?

Question 5

If $f(x)=3x$ and $x$ has an absolute error of $0.4$, what is the absolute error in $f(x)$?