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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![**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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa103840f-912d-4ab5-a29a-9aa9dd4e07fa%2Fd757f387-d7dc-4a02-a5bc-2887d6163b6b%2Fifo2ilq_processed.png&w=3840&q=75)
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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