Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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Transcribed Image Text:**Understanding Significant Figures and Uncertainty**
This table illustrates a fundamental concept in scientific measurements: significant figures and uncertainty. It is essential for ensuring precision and accuracy in scientific data.
| Underline Significant Figures | Underline the Uncertain Number | Write the Uncertainty |
|-------------------------------|-------------------------------|-----------------------|
| 24040 | 24040 | |
| 0.04800 | 0.04800 | |
| 4.020 | 4.020 | |
| 1.08 x 10^-5 | 1.08 x 10^-5 | |
| 0.0022 | 0.0022 | |
| 9000000 | 9000000 | |
| 2.00 x 10^-5 | 2.00 x 10^-5 | |
| 8.60 x 10^2 | 8.60 x 10^2 | |
| 0.000460 | 0.000460 | |
| 2.50 x 10^2 | 2.50 x 10^2 | |
| 129.000 | 129.000 | |
| 55980 | 55980 | |
**Explanation:**
- **Underline Significant Figures:** This column identifies which digits in each number contribute to its precision. These are the measured or known figures.
- **Underline the Uncertain Number:** This column highlights the number that is uncertain or estimated. In scientific measurements, this usually involves the last significant figure.
- **Write the Uncertainty:** Although this column is left blank in this table, typically, uncertainty is expressed as a range or margin of error, indicating the reliability of the last significant figure.
Significant figures reflect the precision of a measurement, while uncertainty provides insight into its accuracy and reliability. Understanding these concepts is crucial for data analysis and interpretation in experiments and calculations.
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