Introductory Chemistry: An Active Learning Approach
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ISBN: 9781305079250
Author: Mark S. Cracolice, Ed Peters
Publisher: Cengage Learning
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![**Mathematical Operation with Significant Figures:**
Perform the following mathematical operation, and report the answer to the appropriate number of significant figures.
**Operation:**
\( 5.87998 + 3.100 = [?] \)
**Explanation:**
When adding or subtracting numbers, the result should be reported in such a way that it reflects the least number of decimal places in any of the numbers being added or subtracted.
- \( 5.87998 \) has 5 decimal places.
- \( 3.100 \) has 3 decimal places.
Thus, the answer should be rounded to 3 decimal places (the fewest decimal places in the numbers involved).
**Calculate the Sum:**
\( 5.87998 + 3.100 = 8.97998 \)
**Round to the Correct Number of Significant Figures:**
Rounded to 3 decimal figures:
\( 8.980 \)
*Final Answer: \[8.980\]*
Report the answer to the appropriate number of significant figures by considering the decimal places in the numbers provided.](https://content.bartleby.com/qna-images/question/a103840f-912d-4ab5-a29a-9aa9dd4e07fa/d757f387-d7dc-4a02-a5bc-2887d6163b6b/ifo2ilq_processed.png)
Transcribed Image Text:**Mathematical Operation with Significant Figures:**
Perform the following mathematical operation, and report the answer to the appropriate number of significant figures.
**Operation:**
\( 5.87998 + 3.100 = [?] \)
**Explanation:**
When adding or subtracting numbers, the result should be reported in such a way that it reflects the least number of decimal places in any of the numbers being added or subtracted.
- \( 5.87998 \) has 5 decimal places.
- \( 3.100 \) has 3 decimal places.
Thus, the answer should be rounded to 3 decimal places (the fewest decimal places in the numbers involved).
**Calculate the Sum:**
\( 5.87998 + 3.100 = 8.97998 \)
**Round to the Correct Number of Significant Figures:**
Rounded to 3 decimal figures:
\( 8.980 \)
*Final Answer: \[8.980\]*
Report the answer to the appropriate number of significant figures by considering the decimal places in the numbers provided.
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