I am trying to understand sig figs and I understand the rules of multiplication/division as well as addition/subtraction; round final answer to the least number of sig figs and least amount of decimal places respectively. I am stuck however on a textbook problem that is as follows:(14.84 x 0.55) - 8.02the answer in the book states the final answer has 1 sig fig but I keep coming up with two since there are two decimal places in the subtraction portion and two sig figs in the multiplication portionmy work is as follows:14.84 x 0.55 = 8.162 and 8.162 - 8.02 = 0.142 which lead me to calculate my final answer as 0.14 however in the book the correct answer is 0.1it says it's because in 8.162 has only one known decimal place but I am confused because if it had one known decimal place shouldn't it read 8.16 making the 2 unknown. How am I supposed to know that the significance ends at 8.1 and not 8.16? please help me!!!

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...
icon
Related questions
Question

I am trying to understand sig figs and I understand the rules of multiplication/division as well as addition/subtraction; round final answer to the least number of sig figs and least amount of decimal places respectively. I am stuck however on a textbook problem that is as follows:

(14.84 x 0.55) - 8.02
the answer in the book states the final answer has 1 sig fig but I keep coming up with two since there are two decimal places in the subtraction portion and two sig figs in the multiplication portion

my work is as follows:
14.84 x 0.55 = 8.162 and 8.162 - 8.02 = 0.142 which lead me to calculate my final answer as 0.14 however in the book the correct answer is 0.1
it says it's because in 8.162 has only one known decimal place but I am confused because if it had one known decimal place shouldn't it read 8.16 making the 2 unknown. How am I supposed to know that the significance ends at 8.1 and not 8.16? please help me!!!

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 7 steps with 1 images

Blurred answer
Knowledge Booster
Measurement
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.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Chemistry
Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
Chemistry
Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education
Principles of Instrumental Analysis
Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning
Organic Chemistry
Organic Chemistry
Chemistry
ISBN:
9780078021558
Author:
Janice Gorzynski Smith Dr.
Publisher:
McGraw-Hill Education
Chemistry: Principles and Reactions
Chemistry: Principles and Reactions
Chemistry
ISBN:
9781305079373
Author:
William L. Masterton, Cecile N. Hurley
Publisher:
Cengage Learning
Elementary Principles of Chemical Processes, Bind…
Elementary Principles of Chemical Processes, Bind…
Chemistry
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY