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

When a number is rounded to 2 decimal places, the possible values for that number can be represented as an interval. Since the rounded result is 4.76, the original number, n, would be within 0.005 of this rounded value.

To find the lower and upper bounds of the error interval:

• The lower bound is calculated as:

  $4.76 - 0.005 = 4.755$

• The upper bound is:

  $4.76 + 0.005 = 4.765$

Thus, we can express the error interval for n as:

$4.755 \leq n < 4.765$