Introductory Chemistry (6th Edition)
6th Edition
ISBN: 9780134302386
Author: Nivaldo J. Tro
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 2, Problem 5E
When do zeros count as significant digits, and when don’t they count?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
between significant digits are always significant.
figures.
Example: 5,007 has 4 significant figures.
3) Trailing zeros in a number are significant only If the
number contalns a decimal polnt.
Example: 100.0 has 4 significant figures.
100 has 1 significant figure.
4) Zeros in the beginning of a number whose only function
Is to place the decimal polnt are not significant.
Example: 0.0025 has 2 significant figures.
5) Zeros following a decimal significant figure are
significant.
Example: 0.000470 has 3 significant figures.
0.47000 has 5 signlficant figures.
Determine the number of significant figures in the following numbers.
1. 0.02
6. 5,000.
4.
2. 0.020
2.
7. 6,051.006
3. 501 3
8. 0.0005 1.
4. 501.0
9. 0.1020
5. 5,000
10. 10,001 5
Determine the location of the last significant place value by placing a bar over the digit.
Example: 1.700)
9,010.0
4.7x10-8
10,8 00,000
3.0Tx 1021
0.00410
1. 8040
6. 90,100
0.0300
699.5
2,000X162
0.90100
2. 0.0300
7. 4.7 x 108
3. 699.5
8. 10,800,000.
3.…
What is the importance of significant figures?
56. Round the number on the left to the number of significant
figures indicated by the example in the first row. (Use
scientific notation as needed to avoid ambiguity.)
Rounded to 4 Rounded to 2 Rounded to 1
Significant
Figures
Significant
Figures
Significant
Figure
Number
9 × 101
94.52118
94.52
95
105.4545
0.455981
0.009999991
Chapter 2 Solutions
Introductory Chemistry (6th Edition)
Ch. 2 - Q1.Express the number 0.000042 in scientific...Ch. 2 - Q2. A graduated cylinder has markings every...Ch. 2 - How many significant figures are in the number...Ch. 2 - Round the number 89.04997 to three significant...Ch. 2 - Q5.Perform this multiplication to the correct...Ch. 2 - Q6.Perform this addition to the correct number of...Ch. 2 - Q7. Perform this calculation to the correct number...Ch. 2 - Convert 76.8 cm to m. a. 0.0768 m b. 7.68 m c....Ch. 2 - Q9.Convert 2855 mg to kg.
a.
b. 2.855 kg
c....Ch. 2 - Q10. A runner runs 4875 ft in 6.85 minutes. What...
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...
Knowledge Booster
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
- For each of the following numbers, by how many places must the decimal point be moved to express the number in standard scientific notation? In each case, will the exponent be positive, negative, or zero? 55,651 0.000008991 2.04 883,541 0.09814arrow_forwardWithout actually performing the calculations indicated, tell to how many significant digits the answer to the calculation should be expressed. (9.7871)(2)(0.00182)(43.21) (67.41+0.32+1.98)/(18.225) (2.001103)(4.7106)(68.224102) (72.15)(63.9)[1.98+4.8981]arrow_forwardFor each of the following numbers, by how many places must the decimal point be moved to express the number in standard scientific notation? In each case, will the exponent be positive, negative, or zero? 72.471 0.008941 9.9914 6519 0.000000008715arrow_forward
- 55. Round the number on the left to the number of significant figures indicated by the example in the first row. (Use scientific notation as needed to avoid ambiguity.) Rounded to Rounded to Rounded to 4 Significant 2 Significant 1 Significant Figures Number Figures Figure 1.45815 1.458 1.5 8.32466 84.57225 132.5512arrow_forward20arrow_forward25. What is 6.7 X 10³ in decimal notation?arrow_forward
- Please answer this question as fast as you can please and tahnk you. I will afterwards write an wonderful review on solving the question. Thank you. Carry out the following calculation, making sure that your answer has the correct number of significant figures and units. 17.49 g + 75 g + 256.0 g =?arrow_forwardRound each number to three significant figures. 0.036549: 1044.987:arrow_forwardPlease answer this question as fast as you can please and tahnk you. I will afterwards write an wonderful review on solving the question. Thank you. Carry out the following calculations, making sure that your answer has the correct number of significant figures. 5.48 x 12.73 = ?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Chemistry: Matter and ChangeChemistryISBN:9780078746376Author:Dinah Zike, Laurel Dingrando, Nicholas Hainen, Cheryl WistromPublisher:Glencoe/McGraw-Hill School Pub Co
Introductory Chemistry: An Active Learning Approa...ChemistryISBN:9781305079250Author:Mark S. Cracolice, Ed PetersPublisher:Cengage Learning
Chemistry: Principles and PracticeChemistryISBN:9780534420123Author:Daniel L. Reger, Scott R. Goode, David W. Ball, Edward MercerPublisher:Cengage Learning
World of Chemistry, 3rd editionChemistryISBN:9781133109655Author:Steven S. Zumdahl, Susan L. Zumdahl, Donald J. DeCostePublisher:Brooks / Cole / Cengage Learning
Introductory Chemistry: A FoundationChemistryISBN:9781337399425Author:Steven S. Zumdahl, Donald J. DeCostePublisher:Cengage Learning
General Chemistry - Standalone book (MindTap Cour...ChemistryISBN:9781305580343Author:Steven D. Gammon, Ebbing, Darrell Ebbing, Steven D., Darrell; Gammon, Darrell Ebbing; Steven D. Gammon, Darrell D.; Gammon, Ebbing; Steven D. Gammon; DarrellPublisher: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
Introductory Chemistry: An Active Learning Approa...
Chemistry
ISBN:9781305079250
Author:Mark S. Cracolice, Ed Peters
Publisher:Cengage Learning
Chemistry: Principles and Practice
Chemistry
ISBN:9780534420123
Author:Daniel L. Reger, Scott R. Goode, David W. Ball, Edward Mercer
Publisher:Cengage Learning
World of Chemistry, 3rd edition
Chemistry
ISBN:9781133109655
Author:Steven S. Zumdahl, Susan L. Zumdahl, Donald J. DeCoste
Publisher:Brooks / Cole / 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