Introducing Chemistry
Introducing Chemistry
6th Edition
ISBN: 9780134557373
Author: Tro
Publisher: PEARSON
bartleby

Concept explainers

bartleby

Videos

Textbook Question
100%
Chapter 2, Problem 1SAQ

Express the number 0.000042 in scientific notation.

a. 0 42 × 10 4

b. 4 2 × 10 5

c. 4 2 × 10 4

d. 4 × 10 5

Expert Solution & Answer
Check Mark
Interpretation Introduction

Interpretation: The number 0.000042 is to be expressed in scientific notation.

Concept Introduction: Scientific notations are used to express too big and too small numbers in a decimal form for better representation of the number. It simplifies the calculations. According to this notation, all numbers are expressed in the following manner:

m×10n.

Here, m is called decimal part, that is any real number lying between 1 and 10 and 10n is an exponent part where, n is an integer.

Answer to Problem 1SAQ

Correct answer: The given number 0.000042 in a scientific notation is expressed as 4.2×105. Therefore, option (b) is the correct answer.

Explanation of Solution

Reason for correct option:

The given number is 0.000042. To express this number in a scientific notation, the value of m will be between 1 and 10. For obtaining the value of m, the decimal point is moved to right 5 decimal places, thus, decimal part, m is 4.2 and the exponent part is 5. Since, the decimal point is moved to the right, the sign of the exponent is negative i.e. 5.

Thus, it is written as 4.2×105.

Reasons for incorrect options:

The number 0.000042 in a scientific notation cannot be expressed as 0.42×105. Therefore, option (a) is incorrect.

The number 0.000042 in a scientific notation cannot be expressed as 4.2×104. Therefore, option (c) is incorrect.

The number 0.000042 in a scientific notation cannot be expressed as 4×105. Therefore, option (d) is incorrect.

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!
02:27
Students have asked these similar questions
Write the numbers in scientific notation. 10991099 1099=1099=       ×10?×10a ?=       0.000950.00095 0.00095=0.00095=       ×10^b ?=
Q.3.2 Write the number (4.8 x10-14 )(2.0 x 109 )  in scientific notation.
A small hole in the wing of a space shuttle requires a 16.0 cm ^ 2 (a) What is the patch's area in square kilometers (km^ 2 ) Enter your answer in scientific notation.

Chapter 2 Solutions

Introducing Chemistry

Ch. 2 - An automobile travels 97.2 km on 7.88 L of...Ch. 2 - Convert 876.9 in.3 tom3. a. 0.01437m3 b. 22.27 m3...Ch. 2 - Convert 27 m/s to km/hr. a. 97 km/hr b. 7.5 km/hr...Ch. 2 - Q14. A cube measures 2.5cm on each edge and has a...Ch. 2 - What is the mass of 225 mL of a liquid that has a...Ch. 2 - Q16. What is the edge length of a 155-g iron cube?...Ch. 2 - 1. Why is it necessary to include units when...Ch. 2 - Why are the number of digits reported in...Ch. 2 - Why is scientific notation useful?Ch. 2 - If a measured quantity is written correctly, which...Ch. 2 - 5. When do zeros count as significant digits, and...Ch. 2 - 6. How many significant digits are there in exact...Ch. 2 - 7. What limits the number of significant digits in...Ch. 2 - What limits the number of significant digits in a...Ch. 2 - 9. How do we determine significant figures in...Ch. 2 - What are the rules for rounding number?Ch. 2 - 11. What are the basic SI units of length, mass,...Ch. 2 - 12. List the common units of volume. Ch. 2 - Suppose you are trying to measure the diameter of...Ch. 2 - What is the difference between mass and weight?Ch. 2 - 15. Using a metric ruler, measure these objects to...Ch. 2 - Using a stopwatch, measure each time to the...Ch. 2 - Explain why units are important in calculations.Ch. 2 - How are units treated in a calculation?Ch. 2 - 19. What is a conversion factor? Ch. 2 - Why does the fundamental value of a quantity not...Ch. 2 - Write the conversion factor that converts a...Ch. 2 - Write conversion factors for each. a. miles to...Ch. 2 - This book outlines a four-step problem-solving...Ch. 2 - Experienced problem solvers always consider both...Ch. 2 - 25. Draw solution map to convert a measurement in...Ch. 2 - Draw a solution map to convert a measurement in...Ch. 2 - 27. Draw a solution map to convert a measurement...Ch. 2 - Draw a solution map to convert a measurement in...Ch. 2 - What density? Explain why density can work as a...Ch. 2 - Explain how you would calculate the density of a...Ch. 2 - 31. Express each number in scientific notation. a....Ch. 2 - Express each number in scientific notation. a....Ch. 2 - Note: The exercises in the problems section are...Ch. 2 - Express each number in scientific notation. a....Ch. 2 - 35. Express each number in decimal notation (i.e.,...Ch. 2 - 36. Express each number in decimal notation (i.e.,...Ch. 2 - 37. Express each number in decimal notation (i.e.,...Ch. 2 - 38. Express each number in decimal notation (i.e.,...Ch. 2 - 39. Complete the table. Decimal...Ch. 2 - Complete the table. Decimal Notation Scientific...Ch. 2 - 41. Read each instrument to the correct number of...Ch. 2 - Read each instrument to the correct number of...Ch. 2 - For each measured quantity, underline the zeros...Ch. 2 - For each measured quantity, underline the zeros...Ch. 2 - How many significant figures are in each measured...Ch. 2 - Significant Figures 46. How many significant...Ch. 2 - 47 Correct any entries in the table that are...Ch. 2 - Correct any entries in the table that are wrong....Ch. 2 - Round each number to four significant figures. a....Ch. 2 - Round each number to three significant figures. a....Ch. 2 - 51. Round each number to two significant...Ch. 2 - 52. Round each number to three significant...Ch. 2 - 53. Each number is supposed to be rounded to three...Ch. 2 - Each number is supposed to be rounded to two...Ch. 2 - Round the number on the left to the number of...Ch. 2 - 56. Round the number on the left to the number of...Ch. 2 - Perform each calculation to the correct number of...Ch. 2 - Perform each calculation to the correct number of...Ch. 2 - 59. Correct any answers that have the incorrect...Ch. 2 - 60. Correct any answers that have the incorrect...Ch. 2 - Perform each calculation to the correct number of...Ch. 2 - Perform each calculation to the correct number of...Ch. 2 - Correct any answers that have the incorrect number...Ch. 2 - Correct any answers that have the incorrect number...Ch. 2 - Perform each calculation to the correct number of...Ch. 2 - 66. Perform each calculation to the correct number...Ch. 2 - Correct any answers that have the incorrect number...Ch. 2 - Correct any answers that have the incorrect number...Ch. 2 - Perform each conversion. a.3.55 kg to grams b.8944...Ch. 2 - Perform each conversion. a.155.5 cm to meters...Ch. 2 - Perform each conversion. a.5.88 dL to liters b....Ch. 2 - 72. Perform each conversion. a.1.08 Mm to...Ch. 2 - Perform each conversion. a. 22.5 in. to...Ch. 2 - Perform each conversion. a. 78.3 in. to...Ch. 2 - Perform each conversion. a.40.0 cm to inches b....Ch. 2 - 76. Perform each conversion. a.254 cm to inches b....Ch. 2 - 77. Complete the...Ch. 2 - 78. Complete the...Ch. 2 - 79. Convert g to each unit. a.kg b.Mg c.mg d....Ch. 2 - Convert 188106 g to each unit. a. mg b. cg c. ng...Ch. 2 - A student loses 3.3 lb in one month. How many...Ch. 2 - 82. A student gains 1.9 lb in two weeks. How many...Ch. 2 - A runner wants to run 10.0 km. She knows that her...Ch. 2 - A cyclist rides at an average speed of 24 mi/h. If...Ch. 2 - 85. A recipe calls for 5.0 qt of milk. What is...Ch. 2 - A gas can hold 2.0 gal of gasoline. What is this...Ch. 2 - 87. Fill in the blanks. a. b. c. Ch. 2 - Prob. 88ECh. 2 - The hydrogen atom has a volume of approximately...Ch. 2 - 90. Earth has a surface area of 197 million square...Ch. 2 - 91. A house has an area of What is its area in...Ch. 2 - A classroom has a volume of 285m3. What is its...Ch. 2 - Total U.S farmland occupies 954 million acres. How...Ch. 2 - 94. Total average U.S farm occupies 435 acres. How...Ch. 2 - 95. The speed limit on many U.S highways is 65...Ch. 2 - 96. A form of children’s Tylenol is sold as a...Ch. 2 - A prescription medication requires 7.55 mg per kg...Ch. 2 - A prescription medication requires 0.00225 g per...Ch. 2 - A sample of an unknown metal has a mass of 35.4...Ch. 2 - A new penny has a mass 2.49 g and a valume of...Ch. 2 - Glycerol is a syrupy liquid often used in...Ch. 2 - 102. An aluminum engine block has a valume of 4.77...Ch. 2 - A supposedly gold crown is tested to determine its...Ch. 2 - 104. A vase is said to be solid platinum. It...Ch. 2 - Ethylene glycol (antifreeze) has a density of...Ch. 2 - Acetone (fingernailpolish remover) has density of...Ch. 2 - A thief uses a bag of sand to replace a gold...Ch. 2 - One of the particles in an atom is the proton. A...Ch. 2 - A block of metal has a volume 13.4in.3 and weight...Ch. 2 - 110. A log is either oak or pine. it displaces 2.7...Ch. 2 - 111. The density of aluminum is . What is its...Ch. 2 - 112. The density of platinum is . What is its...Ch. 2 - A typical backyard swimming pool holds 150 yd3 of...Ch. 2 - 114. An iceberg has a volume of . What is the mass...Ch. 2 - The mass of fuel in an airplane must be determined...Ch. 2 - Prob. 116ECh. 2 - Honda produces a hybrid electric car called the...Ch. 2 - You rent a car in Germany with a gas mileage...Ch. 2 - Prob. 119ECh. 2 - 120. A hybrid SUV consumes fuel at a rate of 12.8...Ch. 2 - Prob. 121ECh. 2 - Consider these observations on two blocks of...Ch. 2 - 123. You measure the masses and volumes of two...Ch. 2 - A bag contains a mixture of copper and lead BBs....Ch. 2 - Prob. 125ECh. 2 - A copper cube has a mass of 87.2 g. Find the edge...Ch. 2 - 127. Recall from Section 2.1 that NASA lost the...Ch. 2 - 28. A NASA satellite showed that in 2012 the ozone...Ch. 2 - 129. In 1999, scientists discovered a new class of...Ch. 2 - 130. A titanium bicycle frame contains the same...Ch. 2 - Look up the thickness of a human hair. a. Convert...Ch. 2 - 132. The following statements are all true. a....Ch. 2 - Convert the height of each group member from feet...

Additional Science Textbook Solutions

Find more solutions based on key concepts
Knowledge Booster
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
    Recommended textbooks for you
  • Chemistry: Matter and Change
    Chemistry
    ISBN:9780078746376
    Author:Dinah Zike, Laurel Dingrando, Nicholas Hainen, Cheryl Wistrom
    Publisher:Glencoe/McGraw-Hill School Pub Co
    Chemistry: Principles and Reactions
    Chemistry
    ISBN:9781305079373
    Author:William L. Masterton, Cecile N. Hurley
    Publisher:Cengage Learning
    Introductory Chemistry For Today
    Chemistry
    ISBN:9781285644561
    Author:Seager
    Publisher:Cengage
  • Chemistry for Today: General, Organic, and Bioche...
    Chemistry
    ISBN:9781305960060
    Author:Spencer L. Seager, Michael R. Slabaugh, Maren S. Hansen
    Publisher:Cengage Learning
    Introductory Chemistry: A Foundation
    Chemistry
    ISBN:9781337399425
    Author:Steven S. Zumdahl, Donald J. DeCoste
    Publisher:Cengage Learning
    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
  • Chemistry: Matter and Change
    Chemistry
    ISBN:9780078746376
    Author:Dinah Zike, Laurel Dingrando, Nicholas Hainen, Cheryl Wistrom
    Publisher:Glencoe/McGraw-Hill School Pub Co
    Chemistry: Principles and Reactions
    Chemistry
    ISBN:9781305079373
    Author:William L. Masterton, Cecile N. Hurley
    Publisher:Cengage Learning
    Introductory Chemistry For Today
    Chemistry
    ISBN:9781285644561
    Author:Seager
    Publisher:Cengage
    Chemistry for Today: General, Organic, and Bioche...
    Chemistry
    ISBN:9781305960060
    Author:Spencer L. Seager, Michael R. Slabaugh, Maren S. Hansen
    Publisher:Cengage Learning
    Introductory Chemistry: A Foundation
    Chemistry
    ISBN:9781337399425
    Author:Steven S. Zumdahl, Donald J. DeCoste
    Publisher:Cengage Learning
    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
    Measurement and Significant Figures; Author: Professor Dave Explains;https://www.youtube.com/watch?v=Gn97hpEkTiM;License: Standard YouTube License, CC-BY
    Trigonometry: Radians & Degrees (Section 3.2); Author: Math TV with Professor V;https://www.youtube.com/watch?v=U5a9e1J_V1Y;License: Standard YouTube License, CC-BY