Math Problem Statement
If the uncertainty of a balance is plus or minus .005grams, which of the following would be used to report the scale reading. 8.00grams or 8.000grams
Solution
When reporting a measurement, the number of decimal places should reflect the precision of the instrument, which in this case is determined by the uncertainty. The uncertainty is grams, which suggests that the measurement is precise to the nearest thousandth of a gram (three decimal places).
Therefore, the correct way to report the scale reading is 8.000 grams. This shows that the measurement is precise to the thousandth of a gram, consistent with the uncertainty provided.
Would you like to know more details about how uncertainty affects measurements?
Here are some related questions:
- How do you calculate uncertainty in multiple measurements?
- What is the difference between accuracy and precision in measurements?
- How do you determine significant figures in a measurement?
- What role does uncertainty play in scientific experiments?
- How do you propagate uncertainty in a series of calculations?
Tip: Always ensure that the number of significant figures in your measurement matches the precision indicated by the uncertainty.
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Math Problem Analysis
Mathematical Concepts
Measurement Uncertainty
Significant Figures
Formulas
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Theorems
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Suitable Grade Level
Grades 9-12
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