Table of contents

1. Chemical Measurements1h 50m
2. Tools of the Trade1h 17m
3. Experimental Error1h 52m
4 & 5. Statistics, Quality Assurance and Calibration Methods1h 57m
6. Chemical Equilibrium3h 41m
7. Activity and the Systematic Treatment of Equilibrium1h 0m
8. Monoprotic Acid-Base Equilibria1h 53m
9. Polyprotic Acid-Base Equilibria2h 17m
10. Acid-Base Titrations2h 37m
11. EDTA Titrations1h 34m
12. Advanced Topics in Equilibrium1h 16m
13. Fundamentals of Electrochemistry2h 19m
14. Electrodes and Potentiometry41m
15. Redox Titrations1h 14m
16. Electroanalytical Techniques57m
17. Fundamentals of Spectrophotometry50m

3. Experimental Error

Multiplication and Division Operations

Analytical Chemistry

3. Experimental Error

Multiplication and Division Operations

Previous problem

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Multiple Choice

Compute the following and determine the correct number of significant figures in the answer for the image below:

9.994×10²¹

9.990×10²¹

1.002×10²²

1.004×10²²

Previous problem

Verified step by step guidance

First, solve the expression inside the parentheses in the numerator: (49.37 + 0.0063 + 897.10). Add these numbers together, keeping in mind the rules for significant figures in addition, which state that the result should have the same number of decimal places as the number with the fewest decimal places.

Next, solve the expression inside the parentheses in the numerator: (87.001 × 10^2). Multiply 87.001 by 100 (since 10^2 = 100), and remember to apply the rules for significant figures in multiplication, which state that the result should have the same number of significant figures as the number with the fewest significant figures.

Multiply the result from step 2 by 9.0287. Again, apply the rules for significant figures in multiplication.

Add the results from step 1 and step 3 together to complete the numerator. Use the rules for significant figures in addition.

In the denominator, solve the expression: (403.0 × 10^-19) + (-16 × 10^-20). Convert both terms to the same power of ten if necessary, and then add them together, keeping in mind the rules for significant figures in addition. Finally, divide the result from the numerator by the result from the denominator, applying the rules for significant figures in division.