[Solved] Maria is using a meter stick to determine the height of a door. If the smallest unit on the meter stick is centimeters, which measurement could Maria have used to most accurately record the height of the door?
Maria is using a meter stick to determine the height of a door. If the smallest unit on the meter stick is centimeters, which measurement could Maria have used to most accurately record the height of the door?
A. 2.309 m
B. 2.3 m
C. 2.31 m
D. 2 m
To determine the most accurate measurement Maria could have used with a meter stick that has centimeters as its smallest unit, we need to consider the number of decimal places that correspond to centimeters.
Concept Used: Precision and Decimal Places
1 meter = 100 centimeters. Therefore, 1 centimeter is represented as 0.01 meters. This means that the precision of the meter stick up to centimeters is two decimal places.
Detailed Explanation:
1. Analyze the Given Options
A. 2.309 m – This measurement is to three decimal places, which is more precise than the meter stick’s smallest unit of centimeters.
B. 2.3 m – This measurement is to one decimal place.
C. 2.31 m – This measurement is to two decimal places, which matches the precision of the meter stick’s smallest unit of centimeters.
D. 2 m – This measurement has no decimal places.
2. Determine the Most Accurate Measurement
Given the precision of the meter stick, the most accurate measurement Maria could have used to record the height of the door would be to two decimal places.
Conclusion: The most accurate measurement Maria could have used, given the precision of the meter stick, is: C. 2.31 m.