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Carry out the following mathematical operations, and give each result to the correct number of significant figures. a. (25.36 - 4.15) 2.317 b. (3.60 x 10) x (8.123) - 4.3 c. 21 + 13.8 + 130.3 d. 116.8 - 0.33 e. (12.6 x 0.53) - 4.59

Carry out the following mathematical operations, and give each result to the correct number of significant figures. a. (25.36 - 4.15) 2.317 b. (3.60 x 10) x (8.123) - 4.3 c. 21 + 13.8 + 130.3 d. 116.8 - 0.33 e. (12.6 x 0.53) - 4.59

Appl Of Ms Excel In Analytical Chemistry
Appl Of Ms Excel In Analytical Chemistry
2nd Edition
ISBN:9781285686691
Author:Crouch
Publisher:Crouch
Chapter1: Excel Basics
Section: Chapter Questions
Problem 2P
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CHEMISTRY 101 LECTURE NOTES Rules for Significant Figures in Mathematical Operations 1. For multiplication or division, the number of significant figures in the result is the same as that in the measurement with the smallest number of significant figures. We say this measurement is limiting because it limits the number of significant figures in the result. 2. For addition or subtraction, the limiting term is the one with the smallest number of decimal places. SAMPLE EXERCISE: Carry out the following mathematical operations, and give each result to the correct number of significant figures. a. (25.36 - 4.15) 2.317 b. (3.60 x 10) × (8.123) 4.3 c. 21 + 13.8 + 130.3 d. 116.8 - 0.33 e. (12.6 x 0.53) - 4.59 1.2.8 Accuracy and Precision In discussing measurements and significant figures it is useful to distinguish between accuracy and precision. Accuracy tells us how close a measurement is to the true value of the quantity that was measured. To a scientist there is a distinction between accuracy and precision. Precision refers to how closely two or more measurements of the same quantity agree with one another. PRACTICE PROBLEMS SET 1 1. Pure substance X is melted, and the liquid is placed in an electrolysis apparatus. When an electric current is passed through the liquid, a brown solid forms in one chamber, and a white solid form in the other chamber. Is substance X a compound or an element? Explain 2. There are 365 days per vear 24 hours per day, 12 months per year, and 00 minutes per hour. Use these data to determine how many minutes are in a month. SHOT ON MI9T TAI TRIPLE CAMERAfigures are in each of the following? a. 100 b. 0.0090 f. 4.800 x 10 C. 1.00 x 10² d. 0.0607020 e. 100.
Transcribed Image Text:CHEMISTRY 101 LECTURE NOTES Rules for Significant Figures in Mathematical Operations 1. For multiplication or division, the number of significant figures in the result is the same as that in the measurement with the smallest number of significant figures. We say this measurement is limiting because it limits the number of significant figures in the result. 2. For addition or subtraction, the limiting term is the one with the smallest number of decimal places. SAMPLE EXERCISE: Carry out the following mathematical operations, and give each result to the correct number of significant figures. a. (25.36 - 4.15) 2.317 b. (3.60 x 10) × (8.123) 4.3 c. 21 + 13.8 + 130.3 d. 116.8 - 0.33 e. (12.6 x 0.53) - 4.59 1.2.8 Accuracy and Precision In discussing measurements and significant figures it is useful to distinguish between accuracy and precision. Accuracy tells us how close a measurement is to the true value of the quantity that was measured. To a scientist there is a distinction between accuracy and precision. Precision refers to how closely two or more measurements of the same quantity agree with one another. PRACTICE PROBLEMS SET 1 1. Pure substance X is melted, and the liquid is placed in an electrolysis apparatus. When an electric current is passed through the liquid, a brown solid forms in one chamber, and a white solid form in the other chamber. Is substance X a compound or an element? Explain 2. There are 365 days per vear 24 hours per day, 12 months per year, and 00 minutes per hour. Use these data to determine how many minutes are in a month. SHOT ON MI9T TAI TRIPLE CAMERAfigures are in each of the following? a. 100 b. 0.0090 f. 4.800 x 10 C. 1.00 x 10² d. 0.0607020 e. 100.
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