Upper & Lower Bounds
Maths: Edexcel IGCSE Higher, topic 1.8.3
Rounding and Accuracy
If we round numbers then the accuracy of our calculation can change. The weight of a cooking pot to the nearest kilogram is 7kg. What is the range of possible weights of the pan?

Lower bound is 6.5. It is smallest number that rounds up to 7

Upper bound is 7.5. Lowest number that won't round down to 7
- The upper bound is 7.5

Range of possible weights

Test yourself on Upper & Lower Bounds
The time taken for a runner to finish a race is 24.3s to the nearest 0.1s. Which of the following is the error interval for the actual time it took the runner?
A bag of apples weighs 4kg to the nearest kg. Which of the following is the error interval for the actual weight of the apples?
Terry's height is 176cm to the nearest cm. Which of the following is the error interval for Terry's actual height?
The length of a table is 96cm to the nearest centimetre. What is the smallest possible length of the table?
What is 9.8 truncated (not rounded) to one significant figure?