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
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...
Related questions
Question
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F23f78e4c-4147-49b4-b8c8-7ffb1d0ba1c0%2F84f8c603-f0f6-475b-8883-603cc73aa974%2Foa9fstj_processed.jpeg&w=3840&q=75)
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.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.Recommended textbooks for you
![Chemistry](https://www.bartleby.com/isbn_cover_images/9781305957404/9781305957404_smallCoverImage.gif)
Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
![Chemistry](https://www.bartleby.com/isbn_cover_images/9781259911156/9781259911156_smallCoverImage.gif)
Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education
![Principles of Instrumental Analysis](https://www.bartleby.com/isbn_cover_images/9781305577213/9781305577213_smallCoverImage.gif)
Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning
![Chemistry](https://www.bartleby.com/isbn_cover_images/9781305957404/9781305957404_smallCoverImage.gif)
Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
![Chemistry](https://www.bartleby.com/isbn_cover_images/9781259911156/9781259911156_smallCoverImage.gif)
Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education
![Principles of Instrumental Analysis](https://www.bartleby.com/isbn_cover_images/9781305577213/9781305577213_smallCoverImage.gif)
Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning
![Organic Chemistry](https://www.bartleby.com/isbn_cover_images/9780078021558/9780078021558_smallCoverImage.gif)
Organic Chemistry
Chemistry
ISBN:
9780078021558
Author:
Janice Gorzynski Smith Dr.
Publisher:
McGraw-Hill Education
![Chemistry: Principles and Reactions](https://www.bartleby.com/isbn_cover_images/9781305079373/9781305079373_smallCoverImage.gif)
Chemistry: Principles and Reactions
Chemistry
ISBN:
9781305079373
Author:
William L. Masterton, Cecile N. Hurley
Publisher:
Cengage Learning
![Elementary Principles of Chemical Processes, Bind…](https://www.bartleby.com/isbn_cover_images/9781118431221/9781118431221_smallCoverImage.gif)
Elementary Principles of Chemical Processes, Bind…
Chemistry
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY