Chemistry
Chemistry
10th Edition
ISBN: 9781305957404
Author: Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher: Cengage Learning
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**Significant Figures in Calculations**

**Question:**
How many significant figures should the answer for the following calculation have?

(433.621 - 333.9) x 11.900

**Options:**
- O 4
- O 5
- O 6
- O 3

**Explanation:**
To determine the number of significant figures in the answer, we must consider the rules of significant figures for each operation involved in the calculation.

1. **Subtraction Rule:**
   The result should be reported with the same number of decimal places as the term with the fewest decimal places.
   - 433.621 has 3 decimal places.
   - 333.9 has 1 decimal place.
   Result (433.621 - 333.9) should be reported with 1 decimal place.

2. **Multiplication Rule:**
   The result should have the same number of significant figures as the term with the fewest significant figures.
   - (433.621 - 333.9) gives a result with 1 decimal place, making it 99.721, which has 5 significant figures.
   - 11.900 has 5 significant figures.

Therefore, the final answer should be reported with 5 significant figures since both components have 5 significant figures. 

Correct option: O 5
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Transcribed Image Text:**Significant Figures in Calculations** **Question:** How many significant figures should the answer for the following calculation have? (433.621 - 333.9) x 11.900 **Options:** - O 4 - O 5 - O 6 - O 3 **Explanation:** To determine the number of significant figures in the answer, we must consider the rules of significant figures for each operation involved in the calculation. 1. **Subtraction Rule:** The result should be reported with the same number of decimal places as the term with the fewest decimal places. - 433.621 has 3 decimal places. - 333.9 has 1 decimal place. Result (433.621 - 333.9) should be reported with 1 decimal place. 2. **Multiplication Rule:** The result should have the same number of significant figures as the term with the fewest significant figures. - (433.621 - 333.9) gives a result with 1 decimal place, making it 99.721, which has 5 significant figures. - 11.900 has 5 significant figures. Therefore, the final answer should be reported with 5 significant figures since both components have 5 significant figures. Correct option: O 5
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