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CAE Exam 1 Questions with Correct Answers
| Updated (100% Correct Answers)
accuracy Answer: how close the value is compared to the true value
precision Answer: how close the value is to the previous value
inaccuracy Answer: the deviation from the actual value (bias)
imprecision Answer: the magnitude of the scatter (uncertainty)
round off errors Answer: came from computers having a fixed
number of sig figs during calculations. computers used a base-2
representation so they can represent base-10 numbers like pi or exp
subtractive cancellation Answer: happens when subtracting two
nearly equal numbers. comes from round off error. avoid by
multiplying by the conjugate over the conjugate.
stability Answer: applies to algorithms and is unstable if the
uncertainty of the input values is greatly magnified by the numerical
method. stable algorithm computes nearly the right answer or
nearly the right question
condition number Answer: applies to problems and relates to a
problem's sensitivity to changes in the input. all small deviations of
a system have small effects. ill-conditioned problems mean some
© 2025 All rights reserved
CAE Exam 1 Questions with Correct Answers
| Updated (100% Correct Answers)
accuracy Answer: how close the value is compared to the true value
precision Answer: how close the value is to the previous value
inaccuracy Answer: the deviation from the actual value (bias)
imprecision Answer: the magnitude of the scatter (uncertainty)
round off errors Answer: came from computers having a fixed
number of sig figs during calculations. computers used a base-2
representation so they can represent base-10 numbers like pi or exp
subtractive cancellation Answer: happens when subtracting two
nearly equal numbers. comes from round off error. avoid by
multiplying by the conjugate over the conjugate.
stability Answer: applies to algorithms and is unstable if the
uncertainty of the input values is greatly magnified by the numerical
method. stable algorithm computes nearly the right answer or
nearly the right question
condition number Answer: applies to problems and relates to a
problem's sensitivity to changes in the input. all small deviations of
a system have small effects. ill-conditioned problems mean some
© 2025 All rights reserved
