Limits Of Accuracy
Overview
Every measurement is rounded, so the value you are given is never quite exact. Limits of accuracy tell you the range the true value could lie in. This matters whenever rounded measurements are added, subtracted or used in a calculation, because the small uncertainties combine.
In this lesson you will find the upper and lower bounds of a value rounded to a given accuracy, and (at Extended) find the bounds of the result of a calculation that uses rounded data.
Objectives
- Give upper and lower bounds for data rounded to a specified accuracy.
- Find upper and lower bounds of the results of calculations which have used data rounded to a specified accuracy. (Extended only)
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Lesson Evaluation
Congratulations on completing the lesson on Limits Of Accuracy. Now that youve explored the key concepts and ideas, its time to put your knowledge to the test. This section offers a variety of practice questions designed to reinforce your understanding and help you gauge your grasp of the material.
You will encounter a mix of question types, including multiple-choice questions, short answer questions, and essay questions. Each question is thoughtfully crafted to assess different aspects of your knowledge and critical thinking skills.
Use this evaluation section as an opportunity to reinforce your understanding of the topic and to identify any areas where you may need additional study. Don't be discouraged by any challenges you encounter; instead, view them as opportunities for growth and improvement.
- A length is 24 cm to the nearest cm. What is its lower bound? A. 23 cm B. 23.5 cm C. 24.5 cm D. 25 cm Answer: B
- A length is 24 cm to the nearest cm. What is its upper bound? A. 24 cm B. 24.4 cm C. 24.5 cm D. 25 cm Answer: C
- A mass is 70 kg to the nearest 10 kg. What is its lower bound? A. 60 kg B. 65 kg C. 69.5 kg D. 75 kg Answer: B
- A time is 3.4 s to 1 decimal place. What is its upper bound? A. 3.405 s B. 3.41 s C. 3.45 s D. 3.5 s Answer: C
- A rectangle is 24 cm by 16 cm to the nearest cm. The upper bound of the perimeter is: A. 80 cm B. 81 cm C. 82 cm D. 84 cm Answer: C
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