Degree Of Accuracy
Overview
No measurement is perfectly precise. A length recorded as 5.3 cm might really be anywhere between 5.25 cm and 5.35 cm. Understanding how rounding affects accuracy, and how errors compound through calculations, is essential for both the exam and real-world problem solving.
This topic covers rounding to any degree of accuracy, identifying upper and lower bounds, and using estimation to check whether an answer is reasonable. Higher-tier students also learn to combine bounds through arithmetic operations.
Objectives
- Round integers to a given power of 10
- Round to a given number of significant figures or decimal places
- Identify upper and lower bounds where values are given to a degree of accuracy
- Use estimation to evaluate approximations to numerical calculations
- [Higher] Solve problems using upper and lower bounds where values are given to a degree of accuracy
Lesson Note
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Lesson Evaluation
Congratulations on completing the lesson on Degree 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.
- Round 0.03467 to 2 significant figures. A) 0.03 B) 0.035 C) 0.034 D) 0.0347 Answer: B
- A length is 7.2 cm to the nearest mm. What is the upper bound? A) 7.25 cm B) 7.3 cm C) 7.15 cm D) 7.24 cm Answer: A
- Estimate the value of 198 x 0.52 by rounding to 1 s.f. A) 50 B) 100 C) 103 D) 150 Answer: B
- Round 45 678 to the nearest 1000. A) 45 000 B) 45 700 C) 46 000 D) 45 680 Answer: C
- A mass is 250 g to the nearest 10 g. The lower bound is: A) 240 g B) 245 g C) 249 g D) 250 g Answer: B
Available on the Green Bridge App
Download the Green Bridge CBT app on your phone or computer to access full lesson notes, practice questions, and more.
Available on the Green Bridge App
Download the Green Bridge CBT app on your phone or computer to access full lesson notes, practice questions, and more.
Recommended Books
Practice Mock Questions
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