Perform the indicated mathematical operations. State the uncertainty of the final answer as + 1-digit variation in the least significant digit. (remember that the last significant digit's place holder is the most uncertain digit!) 7.700 × 2.1 = uncertainty: 2.132 + 17 + 4.04 = uncertainty: 27000 + 500 = uncertainty: 30.0 x 50.0 = uncertainty: (9.6 × 107)(1.24 × 103) 1.897 × 102 uncertainty:
Perform the indicated mathematical operations. State the uncertainty of the final answer as + 1-digit variation in the least significant digit. (remember that the last significant digit's place holder is the most uncertain digit!) 7.700 × 2.1 = uncertainty: 2.132 + 17 + 4.04 = uncertainty: 27000 + 500 = uncertainty: 30.0 x 50.0 = uncertainty: (9.6 × 107)(1.24 × 103) 1.897 × 102 uncertainty:
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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I don't understand the wording. The least significant digit means the last digit?
7.700 X 2.1 = 16.17 would the uncertainty be 0.01 ?
2.132 + 17 + 4.04 = 23.172 would the uncertainty be 0.001 ?
![### Mathematical Operations and Uncertainty
#### Instructions:
Perform the indicated mathematical operations. State the uncertainty of the final answer as ± 1-digit variation in the least significant digit. (Remember that the last significant digit’s placeholder is the most uncertain digit!)
1. **Calculation**: \( 7.700 \times 2.1 \)
- **Result**: ______________
- **Uncertainty**: ___________
2. **Calculation**: \( 2.132 + 17 + 4.04 \)
- **Result**: ______________
- **Uncertainty**: ___________
3. **Calculation**: \( 27000 + 500 \)
- **Result**: ______________
- **Uncertainty**: ___________
4. **Calculation**: \( 30.0 \times 50.0 \)
- **Result**: ______________
- **Uncertainty**: ___________
5. **Calculation**:
\[
\frac{(9.6 \times 10^{-7})(1.24 \times 10^{-3})}{1.897 \times 10^{-2}}
\]
- **Result**: ______________
- **Uncertainty**: ___________](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb83c0ddc-dd4e-42ba-9c1c-5c2759cb3f2c%2Ffc20e837-726a-4d1a-97ff-97a9e527b66a%2Fv1cr8dj.png&w=3840&q=75)
Transcribed Image Text:### Mathematical Operations and Uncertainty
#### Instructions:
Perform the indicated mathematical operations. State the uncertainty of the final answer as ± 1-digit variation in the least significant digit. (Remember that the last significant digit’s placeholder is the most uncertain digit!)
1. **Calculation**: \( 7.700 \times 2.1 \)
- **Result**: ______________
- **Uncertainty**: ___________
2. **Calculation**: \( 2.132 + 17 + 4.04 \)
- **Result**: ______________
- **Uncertainty**: ___________
3. **Calculation**: \( 27000 + 500 \)
- **Result**: ______________
- **Uncertainty**: ___________
4. **Calculation**: \( 30.0 \times 50.0 \)
- **Result**: ______________
- **Uncertainty**: ___________
5. **Calculation**:
\[
\frac{(9.6 \times 10^{-7})(1.24 \times 10^{-3})}{1.897 \times 10^{-2}}
\]
- **Result**: ______________
- **Uncertainty**: ___________
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