AI generatedNumberKS3 / GCSE

Error intervals after rounding

Error intervals after rounding.

  • Write the original error intervals before calculating. Keep the bounds exact.
  • Choose the combination of bounds that makes the result smallest or largest. The direction matters for subtraction and division.
  • Round only at the end. A stated upper bound need not be an attainable value.

Example 1

A positive measurement is 2.3 after rounding to 1 decimal place. Write its error interval.

Lower boundSubtract half of one rounding unit.
Upper boundAdd half of one rounding unit.

Example 2

A positive measurement is 0.24 after rounding to 2 decimal places. Write its error interval.

Lower boundSubtract half of one rounding unit.
Upper boundAdd half of one rounding unit.

Your turn

Question 1

A positive measurement is 2.5 after rounding to 1 decimal place. Write its error interval.

Check answer
Lower boundSubtract half of one rounding unit.
Upper boundAdd half of one rounding unit.
Question 2

A positive measurement is 0.26 after rounding to 2 decimal places. Write its error interval.

Check answer
Lower boundSubtract half of one rounding unit.
Upper boundAdd half of one rounding unit.
Question 3

A positive measurement is 2.7 after rounding to 1 decimal place. Write its error interval.

Check answer
Lower boundSubtract half of one rounding unit.
Upper boundAdd half of one rounding unit.
Question 4

A positive measurement is 0.28 after rounding to 2 decimal places. Write its error interval.

Check answer
Lower boundSubtract half of one rounding unit.
Upper boundAdd half of one rounding unit.
Question 5

A positive measurement is 2.9 after rounding to 1 decimal place. Write its error interval.

Check answer
Lower boundSubtract half of one rounding unit.
Upper boundAdd half of one rounding unit.
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