Chemistry: Principles and Practice
Chemistry: Principles and Practice
3rd Edition
ISBN: 9780534420123
Author: Daniel L. Reger, Scott R. Goode, David W. Ball, Edward Mercer
Publisher: Cengage Learning
bartleby

Concept explainers

bartleby

Videos

Question
Book Icon
Chapter 1, Problem 1.57QE

(a)

Interpretation Introduction

Interpretation:

The following expression has to be evaluated and the answer has to be expressed to the correct number of significant figures.

  (25.12-1.75)×0.01920(24.339-23.15)

Concept Introduction:

Rules for significant figure:

  • All nonzero digits are significant.  Example:  123.4 in which four significant figures are there.
  • Zeros between nonzero digits are significant.  Example: 105 in which digit zero is a significant figure.  Therefore, three significant figures.
  • In a number with no decimal point, zeros at the end of the number (“trailing zeros”) are not necessarily significant.  Example:  602,000 in which there are only three significant figures.
  • If a number contains a decimal point, zeros at the beginning (“leading zeros”) are not significant, but zeros at the end of the number are significant.  Example:  0.0044 in which number of significant figure is two.

In multiplication and division, the result has the same number of significant figures as the multiplier or divisor with fewest number of significant figures.

In addition, and subtraction, the result is expressed to the smallest number of decimal places of the numbers involved.

(a)

Expert Solution
Check Mark

Explanation of Solution

Given,

    (25.12-1.75)×0.01920(24.339-23.15)

The given calculation involves subtraction, multiplication and division.

First, the subtraction part of the expression is evaluated.

  =(25.12-1.75)×0.01920(24.339-23.15)=(23.37)×0.01920(1.19)

Now, the multiplication part is evaluated and then the result is divided to get the final answer.

  =(25.12-1.75)×0.01920(24.339-23.15)=(23.37)×0.01920(1.19)=0.44871.19=0.377or3.77×10-1

(b)

Interpretation Introduction

Interpretation:

The following expression has to be evaluated and the answer has to be expressed to the correct number of significant figures.

  55.4(26.3-18.904)

Concept Introduction:

Refer sub part-a.

(b)

Expert Solution
Check Mark

Explanation of Solution

Given,

    55.4(26.3-18.904)

The given calculation involves subtraction and division.

The first calculation is of subtraction.  The significant figures have to be noted.

  =55.4(26.3-18.904)=55.47.4

The second calculation is of division.

The first digit consists of three significant figures and second digit consists of three significant figures.  The answer consists of three significant figures.

  =55.4(26.3-18.904)=55.47.4=7.5

(c)

Interpretation Introduction

Interpretation:

The following expression has to be evaluated and the answer has to be expressed to the correct number of significant figures.

  (0.921×27.977)+(0.470×28.976)+(3.09×29.974)

Concept Introduction:

Refer sub part-a.

(c)

Expert Solution
Check Mark

Explanation of Solution

Given,

    (0.921×27.977)+(0.470×28.976)+(3.09×29.974)

The given calculation involves multiplication and addition.

The operation present inside the parentheses (multiplication) is performed first.  Then, addition of the products gives the final answer.

  (0.921×27.977)=25.8+(0.470×28.976)=13.6+(3.09×29.974)=92.6_ =132.0

The least decimal place that is common in three numbers is first or tenths place.  The final answer is limited to that place.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!
Students have asked these similar questions
Perform the following calculations and express the answer with the appropriate number of significant figures: 36. 73.62 + 112.9 40. (6.6262×10–34 ) × (2.998×108 ) / (2.54×10–9 ) 37. 167.42 × 1.94 41. 9.27 × (4.987 − 4.962)
Express the following numbers as decimals:(a) 1.52 × 10−2 , (b) 7.78 × 10−8 , (c) 1 × 10−6, (d) 1.6001 × 103.
Perform the following arithmetic operations, and report the result to the proper number of significantfigures: (a) 1.0267 cm × 2.508 cm × 12.599 cm, (b) 15.0 kg ÷ 0.036 m3 , (c) 1.113 × 1010 kg − 1.050 × 109 kg, (d) 25.75 mL + 15.00 mL, (e) 46 cm3 + 180.5 cm3

Chapter 1 Solutions

Chemistry: Principles and Practice

Ch. 1 - Is the light from an electric bulb an intensive or...Ch. 1 - Are all alloys homogeneous solutions? Explain your...Ch. 1 - Prob. 1.14QECh. 1 - Prob. 1.16QECh. 1 - Describe a computation in which your calculator...Ch. 1 - Draw a block diagram (see Example 1.8) that...Ch. 1 - Prob. 1.19QECh. 1 - If you repeat the same measurement many times,...Ch. 1 - Prob. 1.21QECh. 1 - Prob. 1.23QECh. 1 - Prob. 1.24QECh. 1 - Each of the following parts contains an underlined...Ch. 1 - Prob. 1.26QECh. 1 - Classify each of the following processes as a...Ch. 1 - Classify each of the following processes as a...Ch. 1 - Prob. 1.29QECh. 1 - Prob. 1.30QECh. 1 - Prob. 1.31QECh. 1 - Prob. 1.32QECh. 1 - Prob. 1.33QECh. 1 - In the following description of the element iron,...Ch. 1 - Prob. 1.35QECh. 1 - In the following description of the element...Ch. 1 - Classify each of the following as an element, a...Ch. 1 - Classify each of the following as an element, a...Ch. 1 - Prob. 1.39QECh. 1 - Classify each of the following as an element, a...Ch. 1 - Prob. 1.41QECh. 1 - Prob. 1.42QECh. 1 - A samples true mass is 2.54 g. For each set of...Ch. 1 - A measurements true value is 17.3 g. For each set...Ch. 1 - How many significant figures are in each value?...Ch. 1 - How many significant figures are there in each of...Ch. 1 - How many significant figures are in each...Ch. 1 - How many significant figures are in each...Ch. 1 - Express the measurements to the requested number...Ch. 1 - Prob. 1.50QECh. 1 - Prob. 1.51QECh. 1 - Prob. 1.52QECh. 1 - Prob. 1.53QECh. 1 - Prob. 1.54QECh. 1 - Perform the indicated calculations, and express...Ch. 1 - Prob. 1.56QECh. 1 - Prob. 1.57QECh. 1 - Prob. 1.58QECh. 1 - Calculate the result of the following equation,...Ch. 1 - Calculate the result of the following equation,...Ch. 1 - Prob. 1.61QECh. 1 - What base SI unit is used to express each of the...Ch. 1 - Prob. 1.63QECh. 1 - Write two conversion factors between grams (g) and...Ch. 1 - Prob. 1.65QECh. 1 - Prob. 1.66QECh. 1 - Prob. 1.67QECh. 1 - Prob. 1.68QECh. 1 - The speed of sound in air at sea level is 340 m/s....Ch. 1 - The area of the 48 contiguous states is 3.02 ×...Ch. 1 - Prob. 1.71QECh. 1 - Prob. 1.72QECh. 1 - Prob. 1.73QECh. 1 - Prob. 1.74QECh. 1 - Prob. 1.75QECh. 1 - Prob. 1.76QECh. 1 - Wine is sold in 750-mL bottles. How many quarts of...Ch. 1 - The speed limit on limited-access roads in Canada...Ch. 1 - Prob. 1.79QECh. 1 - Many soft drinks are sold in 2.00-L containers....Ch. 1 - (a) Helium has the lowest boiling point of any...Ch. 1 - (a) The boiling point of octane is 126 C. What is...Ch. 1 - The melting point of sodium chloride, table salt,...Ch. 1 - Prob. 1.86QECh. 1 - The density of benzene at 25.0 C is 0.879 g/cm3....Ch. 1 - Ethyl acetate, one of the compounds in nail polish...Ch. 1 - Lead has a density of 11.4 g/cm3. What is the...Ch. 1 - Prob. 1.90QECh. 1 - An irregularly shaped piece of metal with a mass...Ch. 1 - A solid with an irregular shape and a mass of...Ch. 1 - How many square meters will 4.0 L (about 1 gal) of...Ch. 1 - Prob. 1.94QECh. 1 - Prob. 1.95QECh. 1 - Prob. 1.96QECh. 1 - Gold leaf, which is used for many decorative...Ch. 1 - Prob. 1.98QECh. 1 - Prob. 1.99QECh. 1 - Prob. 1.101QECh. 1 - Prob. 1.102QECh. 1 - Prob. 1.103QECh. 1 - Prob. 1.104QECh. 1 - The main weapon on a military tank is a cannon...Ch. 1 - Prob. 1.106QE
Knowledge Booster
Background pattern image
Chemistry
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
Text book image
General Chemistry - Standalone book (MindTap Cour...
Chemistry
ISBN:9781305580343
Author:Steven D. Gammon, Ebbing, Darrell Ebbing, Steven D., Darrell; Gammon, Darrell Ebbing; Steven D. Gammon, Darrell D.; Gammon, Ebbing; Steven D. Gammon; Darrell
Publisher:Cengage Learning
Text book image
Chemistry: The Molecular Science
Chemistry
ISBN:9781285199047
Author:John W. Moore, Conrad L. Stanitski
Publisher:Cengage Learning
Text book image
Chemistry & Chemical Reactivity
Chemistry
ISBN:9781337399074
Author:John C. Kotz, Paul M. Treichel, John Townsend, David Treichel
Publisher:Cengage Learning
Text book image
Chemistry: Principles and Practice
Chemistry
ISBN:9780534420123
Author:Daniel L. Reger, Scott R. Goode, David W. Ball, Edward Mercer
Publisher:Cengage Learning
Types of Matter: Elements, Compounds and Mixtures; Author: Professor Dave Explains;https://www.youtube.com/watch?v=dggHWvFJ8Xs;License: Standard YouTube License, CC-BY