GREATEST POSSIBLE ERROR
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Definition Of Greatest Possible Error
The greatest possible error of a measurement is one half of the unit of measure to which the measure is being rounded.
Examples of Greatest Possible Error
For example, the measurement 50g has been rounded to the nearest ten grams.
So, the greatest possible error is 
, Because the actual measurement 'm' could vary as 
.
Video Examples: The Greatest Integer Function
Solved Example on Greatest Possible Error
Ques : Find the greatest possible error while rounding a measurement 700 cm to the nearest hundred cm.
Choices:
A. 700 cm B. 600 cm
C. 50 cm
D. 350 cm
Correct Answer: C
Solution:
Step 1: The original value has been rounded to the nearest hundred cm. So, the greatest possible error is 
Quick Summary
- Greatest Possible Error (GPE) represents the maximum amount a measurement could be off due to rounding.
- GPE is calculated as half of the smallest unit of measure used.
- Understanding GPE is crucial for assessing the accuracy and precision of measurements.
🍎 Teacher Insights
Use real-world examples of measurements to illustrate the concept of GPE. Emphasize the importance of understanding the limitations of measurements.🎓 Prerequisites
- Rounding
- Units of Measurement
Check Your Knowledge
Q1: A measurement is rounded to the nearest 10 cm. What is the greatest possible error?
Q2: A length is measured as 25 m to the nearest meter. What is the range of possible actual lengths?
Frequently Asked Questions
Q: What is the difference between GPE and absolute error?
A: GPE is the maximum possible error due to rounding, while absolute error is the difference between the measured value and the true value.
Q: How does the unit of measure affect GPE?
A: The smaller the unit of measure, the smaller the GPE, resulting in a more precise measurement.