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General Chemistry Study Guide: Measurement and Significant Figures

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Q1. Read the length of the metal bar with the correct number of significant figures.

Background

Topic: Measurement and Significant Figures

This question tests your ability to correctly read a measurement from a ruler and report it with the appropriate number of significant figures, which is a fundamental skill in laboratory work and scientific reporting.

Ruler measuring a metal bar

Key Terms:

  • Significant Figures: The digits in a measurement that are known with certainty plus one digit that is estimated.

  • Measurement: The process of determining the length, mass, or volume using a tool (here, a ruler).

Step-by-Step Guidance

  1. Examine the ruler and locate where the end of the metal bar falls. Notice the smallest division on the ruler (each small mark represents 0.1 cm).

  2. Identify the value at which the bar ends. It appears to be between 15.0 cm and 15.1 cm.

  3. Estimate the last digit based on how far the bar extends past the 15.0 cm mark. This digit is uncertain and should be included as the estimated digit.

  4. Report the measurement using all certain digits plus one estimated digit, reflecting the precision of the ruler.

Try solving on your own before revealing the answer!

Final Answer: 15.00 cm

The correct measurement is 15.00 cm. The ruler allows you to read to the hundredths place, so you include two decimal places to reflect the precision and uncertainty.

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