Complete question:
Lizzie measured the length of a trail near her house. She discovered that her measurement had a margin of error of 0.0005 mile. Which of the following could be the measured length of the trail?
A. 9.3 miles
B. 9.2549 miles
C. 9.254 miles
D.9.25 miles
Answer:
- <u><em>B. 9.2549 miles</em></u>
Step-by-step explanation:
Measurements are subject to errors. Hence, when you make a measurement you must report it along with the error.
In this case, <em>Lizzie discovered that her measurement had a margin of error of 0.0005 mile.</em>
That means that the error of the measure is in the fourth decimal digit.
The measurement is supposed to be certain until the third decimal digit and the fourth digit would be uncertain.
The rule is that measures are reported with one uncertain digit.
Therefore, the <em>measured length</em> should contain 4 decimal digits, which means that , from the answer choices the measured length should be 9.2549 miles.
The measure should be reported as 9.2549 miles ± 0.0005 mile, meaning the the fourth decimal is uncertain. The uncertanity of the measure is 0.0005 mile.
