Introductory Chemistry: A Foundation
8th Edition
ISBN: 9781285199030
Author: Steven S. Zumdahl, Donald J. DeCoste
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 2, Problem 44QAP
Interpretation Introduction
Interpretation: The measurement or calculation with one significant figure should be determined.
Concept Introduction: For writing significant figures, following rules should be followed:
- Every non-zero digits are significant. For example, the number 2356 has 4 significant figures.
- Any zero between two non-zero digits are significant. For example, the number 205 has 3 significant figures.
- The trailing zeros after the decimal are significant. For example, 0.450 has 3 significant figures, 100 has 1 significant figure and 0.025 has 2 significnat figures.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
When you perform the following operations, how many significant figures should your
answer have? Assume these are measured quantities.
312.3415 + 0.0100 =
07
8.
1
3
6.
Perform the calculations below and give the results with correct significant figures.
31.816 g + 4.23 g + 0.097 g =
3.48 m × 5.916 m × 19.27 m =
(0.0451 × 2.007 × 104) − (28.16 ÷ 0.874) =
g
m3
When adding or dividing measured numbers, we don’t count significant figures. Instead, we look at the precision of the measured numbers. The answer can only be as precise as the least precise measurement.
Chapter 2 Solutions
Introductory Chemistry: A Foundation
Ch. 2.1 - Exercise 2.1 Write the numbers 357 and 0.0055 in...Ch. 2.2 - What if you were not allowed to use units for one...Ch. 2.5 - Exercise 2.2 Give the number of significant...Ch. 2.5 - Exercise 2.3 Give the answer for each calculation...Ch. 2.6 - Exercise 2.4 Wine is often bottled in 0.750-L...Ch. 2.6 - Exercise 2.5 Racing cars at the Indianapolis Motor...Ch. 2.7 - Exercise 2.6 Which temperature is colder, 172 K or...Ch. 2.7 - Exercise 2.7 Hot tubs are often maintained at 41...Ch. 2.7 - Exercise 2.8 An antifreeze solution in a car’s...Ch. 2.8 - Exercise 2.9A student wants to identify the main...
Ch. 2 - a. There are 365 days/year, 24 hours/day, 12...Ch. 2 - You go to a convenience store to buy candy and...Ch. 2 - When a marble is dropped into a beaker of water,...Ch. 2 - Consider water in each graduated cylinder as...Ch. 2 - What is the numerical value of a conversion...Ch. 2 - For each of the following numbers, indicate which...Ch. 2 - Consider the addition of “1 5.4” to “28.” What...Ch. 2 - Consider multiplying “26.2” by “16.43.” What would...Ch. 2 - In lab you report a measured volume of 128.7 mL of...Ch. 2 - Sketch two pieces of glassware: one that can...Ch. 2 - Oil floats on water but is “thicker” than water....Ch. 2 - Show how converting numbers to scientific notation...Ch. 2 - You are driving 65mph and take your eyes oil the...Ch. 2 - You have a1.0cm3 sample of lead and a1.0cm3 sample...Ch. 2 - The beakers shown below have different precisions....Ch. 2 - True or false? For any mathematical operation...Ch. 2 - Complete the following and explain each in your...Ch. 2 - For each of the following figures, a through d,...Ch. 2 - For the pin shown below, why is the third digit...Ch. 2 - Why can the length of the pin shown below not be...Ch. 2 - Use the figure below to answer the following...Ch. 2 - A represents a quantitative observation.Ch. 2 - Although your textbook lists (he rules for...Ch. 2 - When a large or small number is written in...Ch. 2 - When a large or small number is written in...Ch. 2 - Will the power of 10 have apositiveor...Ch. 2 - Will the power of 10 have a positive, negative, or...Ch. 2 - Express each of the following numbers...Ch. 2 - Rewrite each of the following as an “ordinary”...Ch. 2 - By how many places must the decimal point be...Ch. 2 - By how many places must the decimal point be...Ch. 2 - Prob. 11QAPCh. 2 - Write each of the following numbers as “ordinary”...Ch. 2 - Write each of the following numbers...Ch. 2 - Prob. 14QAPCh. 2 - What are the fundamental units of mass, length,...Ch. 2 - Give the metric prefix that corresponds to each of...Ch. 2 - Students often have trouble relating measurements...Ch. 2 - Students often have trouble relating measurements...Ch. 2 - Students often have trouble relating measurements...Ch. 2 - Students often have trouble relating measurements...Ch. 2 - The road sign I just passed says “New York City...Ch. 2 - The GPS in my car indicates that t have 100. mi...Ch. 2 - The tablecloth on my dining room table is 2 in...Ch. 2 - Who is taller, a man who is 1.62 in tall or a...Ch. 2 - The fundamental SI unit of length is the meter....Ch. 2 - 26. Which English unit of length or distance is...Ch. 2 - The unit of volume in the metric system is the...Ch. 2 - Which metric system unit is most appropriate for...Ch. 2 - When a measuring scale is used properly to the...Ch. 2 - What does it mean to say LI1amevery measurement we...Ch. 2 - For the pin shown in Fig. 2.5, why is the third...Ch. 2 - Why can the length of the pin shown in Fig. 2.5...Ch. 2 - Indicate the number of significant figures in each...Ch. 2 - Indicate the number of significant figures implied...Ch. 2 - When we round off a number, if the number to the...Ch. 2 - In a multiple-step calculation, is it better to...Ch. 2 - Round off each of the following numbers to three...Ch. 2 - Round off each of the following numbers to two...Ch. 2 - Round off each of the following numbers to the...Ch. 2 - Round off each of the following numbers to the...Ch. 2 - Consider the calculation indicated below:...Ch. 2 - The following water measurements are made: 18 mL...Ch. 2 - When the calculation(2.31)(4.9795103)/(1.9971104)...Ch. 2 - Prob. 44QAPCh. 2 - When the sum 4.9965 + 2.11 + 3.887 is calculated,...Ch. 2 - How many digits after the decimal point should he...Ch. 2 - Evaluate each of the following mathematical...Ch. 2 - Evaluate each of the following mathematical...Ch. 2 - Without actually performing the calculations...Ch. 2 - Without actually performing the calculations...Ch. 2 - How many significant digits should be used to...Ch. 2 - Evaluate each of the following and write the...Ch. 2 - A represents a ratio based on an equivalence...Ch. 2 - How many significant figures are understood for...Ch. 2 - Given that 1 mi = 1760 yd, determine what...Ch. 2 - Prob. 56QAPCh. 2 - For Exercises 57 and 58, apples cost $1.75 per...Ch. 2 - What conversion factor could be used to determine...Ch. 2 - Perform each of the following conversions, being...Ch. 2 - Perform each of the following conversions, being...Ch. 2 - Perform each of the following conversions, being...Ch. 2 - Perform each of the following conversions, being...Ch. 2 - 12.01 g of carbon contains6.021023 carbon atoms....Ch. 2 - Los Angeles and Honolulu are 2558 mi apart. What...Ch. 2 - The United States has high-speed trains running...Ch. 2 - The radius of an atom is on the order of1010 m....Ch. 2 - The temperature scale used in everyday life in...Ch. 2 - The point of water is at 32° on the Fahrenheit...Ch. 2 - Prob. 69QAPCh. 2 - The freezing point of water is _________ K.Ch. 2 - On both the Celsius and Kelvin temperature scales,...Ch. 2 - On which temperature scale (°F, °C, or K) does 1...Ch. 2 - Make the following temperature conversions: 44.2...Ch. 2 - Prob. 74QAPCh. 2 - Convert the following Fahrenheit temperatures to...Ch. 2 - Convert the following Celsius temperatures to...Ch. 2 - The “Chemistry in Focus” segmentTiny...Ch. 2 - Perform the indicated temperature conversions. 275...Ch. 2 - Prob. 79QAPCh. 2 - The most common units for density are ___________.Ch. 2 - A kilogram of lead occupies a much smaller volume...Ch. 2 - If a solid block of glass, with a volume of...Ch. 2 - Is the density of a gaseous substance likely to be...Ch. 2 - What property of density makes it useful as an aid...Ch. 2 - Referring to Table 2.8, which substance listed is...Ch. 2 - Referring to Table 2.8, determine whether...Ch. 2 - For the masses and volumes indicated, calculate...Ch. 2 - For the masses and volumes indicated, calculate...Ch. 2 - The element bromine at room temperature is a...Ch. 2 - Sunflower oil has a density of 0.920 g/mL. What is...Ch. 2 - If 1000. mL of linseed oil has a mass of 929 g....Ch. 2 - A material will float on the surface of a liquid...Ch. 2 - Iron has a density of 7.87 g/cm3. If 52.4 g of...Ch. 2 - The density of pure gold is 19.32 g/cm3 at 20 °C....Ch. 2 - Use the information in Table 2.8 to calculate the...Ch. 2 - Use the information in Table 2.8 to calculate the...Ch. 2 - 97. Indicate the number of significant digits in...Ch. 2 - Express each of the following as an “ordinary”...Ch. 2 - Write each of the following numbers in standard...Ch. 2 - Prob. 100APCh. 2 - Make the following conversions. 1 .25 in. to feet...Ch. 2 - On the planet Xgnu, the most common units of...Ch. 2 - You pass a road sign saying “New York 110 km.” If...Ch. 2 - Convert 45 mi/h to m/s, showing how the units...Ch. 2 - Suppose your car is rated at 45 mi/gal for highway...Ch. 2 - Prob. 106APCh. 2 - For a pharmacist dispensing pills or capsules, it...Ch. 2 - On the planet Xgnu, the natives have 14 fingers....Ch. 2 - For a material to float on the surface of water,...Ch. 2 - A gas cylinder having a volume of 10.5 L contains...Ch. 2 - Using Table 2.8, calculate the volume of 25.0 g of...Ch. 2 - Ethanol and benzene dissolve in each other. When...Ch. 2 - When 2891 is written in scientific notation, the...Ch. 2 - For each of the following numbers, if the number...Ch. 2 - For each of the following numbers, if the number...Ch. 2 - Prob. 116APCh. 2 - For each of the following numbers, by how many...Ch. 2 - For each of the following numbers, by how many...Ch. 2 - Express each of the following numbers in...Ch. 2 - Express each of the following as an “ordinary”...Ch. 2 - Prob. 121APCh. 2 - Prob. 122APCh. 2 - Prob. 123APCh. 2 - Draw a piece of lab glassware that can...Ch. 2 - Which distance is farther, 100 km or 50 mi?Ch. 2 - 1L= ________dm3= ________cm3= ________mLCh. 2 - The volume 0.250 L could also be expressed as mL.Ch. 2 - The distance 10.5 cm could also be expressed as m.Ch. 2 - Would an automobile moving at a constant speed of...Ch. 2 - Which weighs more, 0.001 g of water or 1 mg of...Ch. 2 - Which weighs more, 4.25 g of gold or 425 mg of...Ch. 2 - The length 500 m can also be expressed as nm.Ch. 2 - The ratio of an object’s mass to its is called the...Ch. 2 - You are working on a project where you need the...Ch. 2 - Indicate the number of significant figures in each...Ch. 2 - Prob. 136APCh. 2 - Round off each of the following numbers to the...Ch. 2 - Prob. 138APCh. 2 - Prob. 139APCh. 2 - Prob. 140APCh. 2 - Prob. 141APCh. 2 - Prob. 142APCh. 2 - Perform each of the following conversions, being...Ch. 2 - Perform each of the following conversions, being...Ch. 2 - The mean distance from the earth to (he sun ismi....Ch. 2 - Given that one metric ton = 1000 kg, how many...Ch. 2 - Convert the following temperatures to kelvins. 0°C...Ch. 2 - Carry out the indicated temperature conversions....Ch. 2 - For the masses and volumes indicated, calculate...Ch. 2 - A sample of a liquid solvent has a density of...Ch. 2 - An organic solvent has a density of 1.31 g/mL....Ch. 2 - A solid metal sphere has a volume of 4.2 ft3. The...Ch. 2 - A sample containing 33.42 g of metal pellets is...Ch. 2 - Prob. 154APCh. 2 - Prob. 155APCh. 2 - Prob. 156APCh. 2 - Prob. 157APCh. 2 - Prob. 158APCh. 2 - Complete the following table: Number Exponential...Ch. 2 - For each of the mathematical expressions given: a....Ch. 2 - The longest river in the world is the Nile River...Ch. 2 - Secretariat is known as the horse with the fastest...Ch. 2 - A friend tells you that it is 69. 1 °F outside....Ch. 2 - The hottest temperature recorded in the United...Ch. 2 - The density of osmium (the densest metal)...Ch. 2 - The radius of a neon atom is 69 pm, and its mass...
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
- What is the difference in surface area between two circles, one of radius 7.98 cm, the other of radius 8.50 cm? The surface area of a circle of radius r is r2. Obtain the result to the correct number of significant figures.arrow_forwardExpress the measurements to the requested number of significant figures. (a) 96,485 J/C to three significant figures (b) 2.9979 g/cm3 to three significant figures (c) 0.0597 mL to one significant figure (d) 6.626 1034 kg to two significant figuresarrow_forwardOne year of world production of gold was 49.6 106 troy ounces. One troy ounce equals 31.10 g. What was the world production of gold in metric tons (106 g) for that year?arrow_forward
- For these questions, be sure to apply the rules for significant figures. a You are conducting an experiment where you need the volume of a box; you take the length, height, and width measurements and then multiply the values together to find the volume. You report the volume of the box as 0.310 m1. If two of your measurements were 0.7120 m and 0.52145 m, what was the other measurement? b If you were to add the two measurements from the first part of the problem to a third length measurement with the reported result of 1.509 m, what was the value of the third measurement?arrow_forwardExactly 1 liter of a solution contains 31.4 grams of a certain dissolved substance. What mass in grams is in exactly 2 liters? How about 7.37 liters? Express the results in the proper number of significant figures.arrow_forwardAlthough the preferred SI unit of area is the square meter, land is often measured in the metric system in hectares (ha). One hectare is equal to 10,000 m2. In the English system, land is often measured in acres (1 acre = 160 rod2). Use the exact conversions and those given in Exercise 47 to calculate the following. a. 1 ha = __________ km2 b. The area of a 5.5-acre plot of land in hectares, square meters, and square kilometers c. A lot with dimensions 120 ft by 75 ft is to be sold for 6500. What is the price per acre? What is the price per hectare?arrow_forward
- A sample of a bright blue mineral was weighed in air, then weighed again while suspended in water. An object is buoyed up by the mass of the fluid displaced by the object. In air, the mineral weighed 7.35 g; in water, it weighed 5.40 g. The densities of air and water are 1.205 g/L and 0.9982 g/cm3, respectively. What is the density of the mineral?arrow_forwardA person weighed 15 pennies on a balance and recorded the following masses: 3.112 g 3.109 g 3.059 g 2.467 g 3.079 g 2.518 g 3.129 g 2.545 g 3.050 g 3.053 g 3.054 g 3.072 g 3.081 g 3.131 g 3.064 g Curious about the results, he looked at the dates on each penny. Two of the light pennies were minted in 1983 and one in 1982. The dates on the 12 heavier pennies ranged from 1970 to 1982. Two of the 12 heavier pennies were minted in 1982. a. Do you think the Bureau of the Mint changed the way it made pennies? Explain. b. The person calculated the average mass of the 12 heavy pennies. He expressed this average as 3.0828 g 0.0482 g. What is wrong with the numbers in this result, and how should the value be expressed?arrow_forward1.87 A solution of ethanol in water has a volume of 54.2 mL and a mass of 49.6 g. what information would you need to look up and how would you determine the percentage of ethanol in this solution?arrow_forward
- How many significant figures should be retained in the result of the following calculation?12.00000 × 0.9893 + 13.00335 × 0.0107arrow_forwardConsider the equation: (9 x 10^-38) x (9.00 x 10^3) x 35.3= Y how many significant figures should Y be expressed?arrow_forwardA student sets up the following equation to convert a measurement. (The ? stands for a number the student is going to calculate.) Fill in the missing part of this equation. (84. cm )· 0= ? m² 3 3arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Introductory Chemistry: An Active Learning Approa...ChemistryISBN:9781305079250Author:Mark S. Cracolice, Ed PetersPublisher:Cengage LearningChemistry: Principles and PracticeChemistryISBN:9780534420123Author:Daniel L. Reger, Scott R. Goode, David W. Ball, Edward MercerPublisher:Cengage LearningGeneral 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: The Molecular ScienceChemistryISBN:9781285199047Author:John W. Moore, Conrad L. StanitskiPublisher:Cengage LearningChemistry: Matter and ChangeChemistryISBN:9780078746376Author:Dinah Zike, Laurel Dingrando, Nicholas Hainen, Cheryl WistromPublisher:Glencoe/McGraw-Hill School Pub CoChemistry for Engineering StudentsChemistryISBN:9781337398909Author:Lawrence S. Brown, Tom HolmePublisher:Cengage Learning
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
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: The Molecular Science
Chemistry
ISBN:9781285199047
Author:John W. Moore, Conrad L. Stanitski
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 for Engineering Students
Chemistry
ISBN:9781337398909
Author:Lawrence S. Brown, Tom Holme
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