The length, L, of a steel rod is 8.3m, correct to 1 decimal place - OCR - GCSE Maths - Question 2 - 2017 - Paper 1

To determine the error interval for the length L of the steel rod, we start with the value given: 8.3 m. Since this measurement is correct to 1 decimal place, we need to consider the range of possible values for L that could round to 8.3 m.

When a number is rounded to 1 decimal place, the possible range lies halfway between the lower and upper bounds. For L to round to 8.3 m, it must be:

• Greater than or equal to 8.25 m (the lower bound)
• Less than 8.35 m (the upper bound)

Thus, we can express this error interval as:

$8.25 \, m \leq L < 8.35 \, m$

In interval notation, this can be written as:

$8.25 < L < 8.35$