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If a length is measured as 25.0 cm, what is the uncertainty in this measurement?

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Question: If a length is measured as 25.0 cm, what is the uncertainty in this measurement?

Options:

  1. 0.1 cm
  2. 0.01 cm
  3. 1 cm
  4. 0.5 cm

Correct Answer: 0.1 cm

Solution: 

The uncertainty is 0.1 cm, as the last digit is in the tenths place.

If a length is measured as 25.0 cm, what is the uncertainty in this measurement?

Practice Questions

Q1
If a length is measured as 25.0 cm, what is the uncertainty in this measurement?
  1. 0.1 cm
  2. 0.01 cm
  3. 1 cm
  4. 0.5 cm

Questions & Step-by-Step Solutions

If a length is measured as 25.0 cm, what is the uncertainty in this measurement?
  • Step 1: Look at the measurement given, which is 25.0 cm.
  • Step 2: Identify the last digit in the measurement, which is '0'.
  • Step 3: Determine the place value of the last digit. Here, '0' is in the tenths place (0.1 cm).
  • Step 4: The uncertainty is typically taken as the value of the last digit, which is 0.1 cm.
  • Significant Figures – Understanding how to determine the uncertainty based on the precision of the measurement.
  • Measurement Uncertainty – Recognizing that the uncertainty is typically half of the smallest division of the measuring instrument.
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