To determine the greatest possible error in your measurement, you'll typically consider the smallest unit of measurement you can reliably use. If you measured the width of the doorway as 0.93 m, we can assume it was measured to the nearest centimeter or millimeter.
-
If measured to the nearest centimeter:
- The measurement could range from 0.925 m to 0.935 m.
- The greatest possible error would be half of the smallest unit (0.01 m or 1 cm): \[ \text{Greatest possible error} = \frac{0.01, \text{m}}{2} = 0.005, \text{m} = 5, \text{mm} \]
-
If measured to the nearest millimeter:
- The measurement could range from 0.9295 m to 0.9305 m.
- The greatest possible error would be half of the smallest unit (0.001 m or 1 mm): \[ \text{Greatest possible error} = \frac{0.001, \text{m}}{2} = 0.0005, \text{m} = 0.5, \text{mm} \]
Assuming the measurement was made to the nearest centimeter, the greatest possible error is 0.005 m (5 mm). If measured to the nearest millimeter, it would be 0.0005 m (0.5 mm).
1 answer