The length of a football pitch is 90 metres, correct to the nearest metre - Edexcel - GCSE Maths - Question 4 - 2022 - Paper 2

To determine the error interval for the length of the football pitch measured as 90 metres to the nearest metre, we need to account for the range of values that would round to 90.

Since the measurement is correct to the nearest metre, the values that would round to 90 must be within the range of 89.5 to 90.5. This is because:

• The lowest value that rounds up to 90 is 89.5.
• The highest value that rounds down to 90 is 90.5.

Therefore, we can express this as:

$89.5 ext{ m} \leq \text{length} < 90.5 ext{ m}$

This indicates that the actual length of the football pitch lies in the interval from 89.5 metres inclusive to 90.5 metres exclusive.