Inequality notation to express error
I can calculate possible errors expressed using inequality notation a ≤ x < b.
Inequality notation to express error
I can calculate possible errors expressed using inequality notation a ≤ x < b.
Lesson details
Key learning points
- When given a rounded number you can say what the biggest and smallest values of the unrounded number could have been.
- You can use $$a ≤ x < b$$ notation to express the range of values the unrounded number could have taken.
Common misconception
Incorrect use of the error interval i.e $$a ≤ x ≤ b$$ or writing the error interval as $$a ≤ x > b$$
As a check, encourage students to round the upper limit interval by the degree of accuracy to see if it evaluates to the rounded number. Also, draw a number line to show the meaning of $$a ≤ x > b$$ and allow students to see the error.
Keywords
Range - A range of values where every value in the range estimates to the given value.
Error interval - An error interval for a number $$x$$ shows the range of possible values of $$x$$. It is written as an inequality $$a ≤ x < b$$
Licence
This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).
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