[Verified] 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. 2.309m
B. 2.3m
C. 2.31m
D. 2m

Let’s break down the process of determining which measurement Maria could most accurately use to record the height of a door using a meter stick that measures in centimeters. We’ll consider each of the given options (A, B, C, and D) one by one.

Understanding the Measurement Scale

The meter stick measures in centimeters (cm), which means:

  • 1 meter (m) = 100 centimeters (cm)
  • Therefore, the smallest unit Maria can accurately measure is 1 cm.

Analyzing Each Option

A) 2.309 meters

  • This translates to 2.309×1002.309×100 cm = 230.9 cm.
  • A meter stick marked in centimeters cannot accurately measure to a tenth of a centimeter. Therefore, this measurement is too precise.

B) 2.3 meters

  • This translates to 2.3×1002.3×100 cm = 230 cm.
  • Maria can accurately measure to the nearest centimeter, so this measurement is possible and accurate.

C) 2.31 meters

  • This translates to 2.31×1002.31×100 cm = 231 cm.
  • Similar to option B, this measurement is also possible and accurate to the nearest centimeter.

D) 2 meters

  • This translates to 2×1002×100 cm = 200 cm.
  • This measurement is also accurate and possible with a meter stick marked in centimeters.

Conclusion

Since a meter stick marked in centimeters can measure accurately to the nearest centimeter, both options B (2.3 meters or 230 cm) and C (2.31 meters or 231 cm) are suitable and accurate. Option D (2 meters or 200 cm) is also accurate but may not capture the full height of the door if it’s taller than exactly 2 meters. Option A (2.309 meters or 230.9 cm) is too precise for the meter stick’s scale and is not feasible.

Hence, B) 2.3 meters and C) 2.31 meters are the most appropriate choices for Maria’s measurement, as they represent measurements she could accurately make with a meter stick marked in centimeters.

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