Summary
Limits of accuracy help describe all possible values a rounded number could be. The lower limit is the smallest value that rounds up to the estimated value, while the upper limit is the smallest value that rounds up to the next estimated value.
- Lower Limit — the smallest value that rounds to the given number Example: For 105 cm rounded to the nearest cm, the lower limit is 104.5 cm.
- Upper Limit — the smallest value that rounds to the next number Example: For 105 cm rounded to the nearest cm, the upper limit is 105.5 cm.
Exam Tips
Key Definitions to Remember
- Lower Limit: The smallest value that rounds to the given number
- Upper Limit: The smallest value that rounds to the next number
Common Confusions
- Confusing the lower limit with the smallest possible value
- Forgetting that the upper limit is exclusive
Typical Exam Questions
- What is the lower bound of a measurement rounded to the nearest unit? Find the smallest value that rounds to the given number.
- What is the upper bound of a measurement rounded to the nearest unit? Find the smallest value that rounds to the next number.
- How do you calculate the bounds for a calculated measurement? Use the bounds of the individual measurements in the calculation.
What Examiners Usually Test
- Understanding of how to find lower and upper bounds
- Application of bounds in problem-solving scenarios
- Ability to calculate bounds for compound measurements