A number, n, is rounded to 2 decimal places - Edexcel - GCSE Maths - Question 7 - 2017 - Paper 2

Given that the number n is rounded to 2 decimal places resulting in 4.76, we can derive the error interval by understanding how rounding works.

When a number is rounded to two decimal places, it means it can be any number that, when rounded, results in 4.76. The smallest number that would round up to 4.76 is 4.755, and the largest number that would round down to 4.76 is 4.765. Therefore, we can write the error interval as:

$$4.755 \leq n < 4.765$$

This represents all the possible values for n that would round to 4.76 when rounded to two decimal places.