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How many significant figures should the answer for the following calculation have? (433.621 - 333.9) x 11.900 O 4 O 5 06 3.

How many significant figures should the answer for the following calculation have? (433.621 - 333.9) x 11.900 O 4 O 5 06 3.

Chemistry
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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**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
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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