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In a measurement, if the uncertainty is ±0.5 cm, what is the range of the measur

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Question: In a measurement, if the uncertainty is ±0.5 cm, what is the range of the measurement 10.0 cm? (2023)

Options:

  1. 9.5 cm to 10.5 cm
  2. 9.0 cm to 11.0 cm
  3. 10.0 cm to 10.5 cm
  4. 10.0 cm to 11.0 cm

Correct Answer: 9.5 cm to 10.5 cm

Exam Year: 2023

Solution: 

The range is calculated as (10.0 - 0.5) cm to (10.0 + 0.5) cm, which is 9.5 cm to 10.5 cm.

In a measurement, if the uncertainty is ±0.5 cm, what is the range of the measur

Practice Questions

Q1
In a measurement, if the uncertainty is ±0.5 cm, what is the range of the measurement 10.0 cm? (2023)
  1. 9.5 cm to 10.5 cm
  2. 9.0 cm to 11.0 cm
  3. 10.0 cm to 10.5 cm
  4. 10.0 cm to 11.0 cm

Questions & Step-by-Step Solutions

In a measurement, if the uncertainty is ±0.5 cm, what is the range of the measurement 10.0 cm? (2023)
  • Step 1: Identify the measurement value, which is 10.0 cm.
  • Step 2: Identify the uncertainty, which is ±0.5 cm.
  • Step 3: Calculate the lower limit of the range by subtracting the uncertainty from the measurement: 10.0 cm - 0.5 cm = 9.5 cm.
  • Step 4: Calculate the upper limit of the range by adding the uncertainty to the measurement: 10.0 cm + 0.5 cm = 10.5 cm.
  • Step 5: Combine the lower and upper limits to express the range: 9.5 cm to 10.5 cm.
  • Measurement Uncertainty – Understanding how to calculate the range of a measurement based on its uncertainty.
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