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Rounding, Absolute & Relative Errors, Under/Overflow

AQA 75174.5.4A-levelLesson packSubscription
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  • 12 questions
  • 30 marks
  • about 40 minutes
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Question types: calculation, multiple choice, short answer, multi-part.

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About this resource

Explain why fixed and floating point representations of decimal numbers may be inaccurate, calculate absolute and relative errors, compare them across magnitudes, and explain when overflow and underflow occur.

20 slides.

Lesson outline

  1. Retrieval Starter — Fixed & Floating Point
  2. Keyword Glossary
  3. Why Fixed & Floating Point Can Both Be Inaccurate
  4. Check: Why Are These Representations Inaccurate?
  5. Worked Example: 0.1 in Binary
  6. Check: Which Decimals Are Exact in Binary?
  7. I-Do: Calculating the Absolute Error
  8. Absolute Error vs Relative Error
  9. We-Do: Practice — Absolute & Relative Error
  10. Comparing Errors Across Magnitudes
  11. Check: Does a Small Absolute Error Mean a Small Relative Error?
  12. Practice — Compare Two Magnitudes
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