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3.6 Approximations and Errors

Mathematics · Grade 9 · 4 lessons in the design

What this covers

  • Errors from estimations and actual measurements
  • Percentage errors

What you will be able to do

  • approximate quantities in measurements in different situations
  • determine errors using estimations and actual measurements of quantities
  • determine percentage errors using actual measurements of quantities
  • appreciate approximations and errors in real-life situations

Key questions

“How do we estimate measurements of different quantities?”

Lessons

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  1. Approximating a measurement
    40 min · 1 practice tasks · quiz
    Estimate with what you have, measure with a proper instrument, and round to the accuracy the job needs.
  2. Finding the error
    40 min · 1 practice tasks · quiz
    Measure what you estimated, and the gap between the two is the error.
  3. Percentage error
    40 min · 1 practice tasks · quiz
    Divide the error by the actual measurement and multiply by 100 to see how serious it really was.
  4. Errors, accuracy and the customer
    40 min · 1 practice tasks · quiz
    Close the strand by seeing what a small percentage error costs once it is multiplied or repeated.