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!!!

Introduction to General, Organic and Biochemistry
11th Edition
ISBN:9781285869759
Author:Frederick A. Bettelheim, William H. Brown, Mary K. Campbell, Shawn O. Farrell, Omar Torres
Publisher:Frederick A. Bettelheim, William H. Brown, Mary K. Campbell, Shawn O. Farrell, Omar Torres
Chapter1: Matter, Energy, And Measurement
Section: Chapter Questions
Problem 1.107P
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
Introduction to General, Organic and Biochemistry
Introduction to General, Organic and Biochemistry
Chemistry
ISBN:
9781285869759
Author:
Frederick A. Bettelheim, William H. Brown, Mary K. Campbell, Shawn O. Farrell, Omar Torres
Publisher:
Cengage Learning
Chemistry
Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
Chemistry
Chemistry
Chemistry
ISBN:
9781133611097
Author:
Steven S. Zumdahl
Publisher:
Cengage Learning
Introductory Chemistry: A Foundation
Introductory Chemistry: A Foundation
Chemistry
ISBN:
9781337399425
Author:
Steven S. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
Introductory Chemistry For Today
Introductory Chemistry For Today
Chemistry
ISBN:
9781285644561
Author:
Seager
Publisher:
Cengage
Chemistry for Today: General, Organic, and Bioche…
Chemistry for Today: General, Organic, and Bioche…
Chemistry
ISBN:
9781305960060
Author:
Spencer L. Seager, Michael R. Slabaugh, Maren S. Hansen
Publisher:
Cengage Learning