Approximations, Errors and Significant Figures Quiz
18 Questions
1 Views

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to Lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

What does accuracy measure in the context of numerical problem solving?

  • The precision of computed values
  • How close a measured or computed values agrees with the true values (correct)
  • How close individual measured or computed values agree with each other
  • The inaccuracy and imprecision of numerical results

Which term represents how close individual measured or computed values agree with each other?

  • Error
  • Inaccuracy
  • Accuracy
  • Precision (correct)

In the context of this course, what does error represent?

  • Both inaccuracy and imprecision of numerical results (correct)
  • Imprecision only
  • Accuracy
  • Inaccuracy only

What is precision in the context of numerical problem solving?

<p>How close individual measured or computed values agree with each other (C)</p> Signup and view all the answers

What does accuracy measure in the context of numerical problem solving?

<p>How close a measured or computed values agrees with the true values (D)</p> Signup and view all the answers

Which term represents both inaccuracy and imprecision of numerical results in this course?

<p>Error (C)</p> Signup and view all the answers

What is the formula for true error?

<p>Error = True value - Approximation (D)</p> Signup and view all the answers

How can the error be normalized to the true value?

<p>By dividing the error by the true value (B)</p> Signup and view all the answers

In the example given, what is the true error for the bridge measurement?

<p>1cm (D)</p> Signup and view all the answers

What is the true percent relative error for the river measurement?

<p>10% (A)</p> Signup and view all the answers

What method can be used to estimate the error if the true values are unknown?

<p>Comparing results from successive calculations (B)</p> Signup and view all the answers

What does 𝜀𝑎 represent in the context of numerical methods?

<p>The absolute error (D)</p> Signup and view all the answers

In most applications, what condition do we want |𝜀𝑎 |< 𝜀𝑠 to satisfy?

<p>|𝜀𝑎 |&lt; 𝜀𝑠 means a reliable calculation (C)</p> Signup and view all the answers

What is used to minimize round-off errors in arithmetic calculations?

<p>Double precision (B)</p> Signup and view all the answers

What concept designates reliability of numerical values by reporting certain digits and an estimated digit?

<p>Significant figures (sig figs) (A)</p> Signup and view all the answers

Which type of digits are always considered significant according to the concept of significant figures?

<p>Non-zero digits and terminal zeros following the decimal point (A)</p> Signup and view all the answers

What do terminal zeros in an integer not be considered according to significant figures?

<p>Never significant (D)</p> Signup and view all the answers

What does |𝜀𝑎 |< 𝜀𝑠 indicate about a result?

<p>The result is highly accurate (D)</p> Signup and view all the answers

More Like This

Square Roots and Approximations Quiz
3 questions
数值分析概述
9 questions

数值分析概述

PunctualVerisimilitude avatar
PunctualVerisimilitude
Estimations and Approximations
37 questions
Use Quizgecko on...
Browser
Browser