SAMPLE EXERCISE: Carry out the following mathematical operations, and give each result 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 L16 8 0.33

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Chapter1: Chemical Foundations
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Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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of significant figures.
limits the number of significant figures in
2. For addition or subtraction, the limiting term is the one with the S1
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
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
4.15) 2.317
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 year, 24 hours per day, 12 months per year, and
60 minutes per hour. Use these data to determine how many minutes
are in a month.
3. How many significant figures are in each of the following?
a. 100 b. 0.0090 c. 1.00 × 102 d. 0.0607020
e. 100. f. 4.800 x 10*
4. Perform the following mathematical operations, and express the result to
the correct number of significant figures.
a. (6.022 x 102) × (1.05 x 10²)
(6.6262 x 10-34) × (2.998 × 10)
b.
2.54 x 10-9
c. (1.285 x 10)+ (1.24 x 10) +(1.879 x 10) d.
(1.00866 - 1.00728)
6.02205 x 102
©2021
SMPU-Chem. 101 Sec. 3&4-Sem. II 20/21
8
SHOT ON MI 9T
AI TRIPLE CAMERA
Transcribed Image Text:of significant figures. limits the number of significant figures in 2. For addition or subtraction, the limiting term is the one with the S1 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 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 4.15) 2.317 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 year, 24 hours per day, 12 months per year, and 60 minutes per hour. Use these data to determine how many minutes are in a month. 3. How many significant figures are in each of the following? a. 100 b. 0.0090 c. 1.00 × 102 d. 0.0607020 e. 100. f. 4.800 x 10* 4. Perform the following mathematical operations, and express the result to the correct number of significant figures. a. (6.022 x 102) × (1.05 x 10²) (6.6262 x 10-34) × (2.998 × 10) b. 2.54 x 10-9 c. (1.285 x 10)+ (1.24 x 10) +(1.879 x 10) d. (1.00866 - 1.00728) 6.02205 x 102 ©2021 SMPU-Chem. 101 Sec. 3&4-Sem. II 20/21 8 SHOT ON MI 9T AI TRIPLE CAMERA
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