Introductory Chemistry (6th Edition)
Introductory Chemistry (6th Edition)
6th Edition
ISBN: 9780134302386
Author: Nivaldo J. Tro
Publisher: PEARSON
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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
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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.

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Chapter 2 Solutions

Introductory Chemistry (6th Edition)

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. 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