Introductory Chemistry: A Foundation
9th Edition
ISBN: 9781337399425
Author: Steven S. Zumdahl, Donald J. DeCoste
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 2, Problem 41QAP
Consider the calculation indicated below:
Explain why the answer to this calculation should be reported to only two significant digits.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
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
Perform the following calculations and express the answer with the appropriate number of significant figures:
1 (46.21 × 2.55) − (2.643 × 0.662)
2. (1.00866 − 1.00728) / (6.02205×1023 )
3.(22.614 − 19.3) / 19.
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 - Prob. 6QAPCh. 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 - In lab you report a measured volume of 158.6 mL of...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 - You are asked to determine the perimeter of the...Ch. 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 - Given that 1 in. = 2.54 cm exactly, indicate what...Ch. 2 - For Exercises 57 and 58, apples cost $1.75 per...Ch. 2 - For Exercises 57 and 58, apples cost $1.75 per...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 - Carry out the indicated temperature conversions. ...Ch. 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 - You want to make a rectangular box that weighs 2.0...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 - For the measurement 0.003040 meters, indicate...Ch. 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 - Which of the following statements is (are) true? A...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 - A perfect cube of unknown elemental composition...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 - A rectangular solid measures 1.0 in by 2.4 mm by...Ch. 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
- One 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_forwardDo the following calculation and express the answer using the correct number of significant figures. = (1.21 x 103 + 1.3 × 103) x 6.453 × 10² O 1.6 02 O 1.62 O 1.619arrow_forwardPerform 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)arrow_forward
- 8. Your calculator gives you the number 1761.2868 as the volume (in cm^ 3) of a box 2.0 ft by 6.5 cm by 1.75 în. Since this number should reflect the precision of the physical measurements, how many significant figures will you record for the volume of the box? What is the volume of the box?arrow_forwardComplete the following arithmetic problem and report the answer to the correct number of significant figures. (Report your answer in standard notation.)arrow_forwardpart A: Sort the following numbers according to whether they should be rounded up or down when rounding to the nearest tenth (the first digit after the decimal). 3.1760, 4.319, 19.47, 5.82, 66.9214, 8878.2010, 7.084, 124.76 part B: Drag the answers that have been correctly rounded to the appropriate number of significant figures to their place in the table. To avoid rounding errors, start with the unrounded value before conducting each manipulation. Drag the appropriate labels to their respective targets. View Available Hint(s)for Part B Reset Help 14.93 Group 3 14.93 12 Group 1 12 14.92 Group 3 14.92 3.62 Group 4 3.62 14 Group 3 14 3.7 Group 4 3.7 15 Group 3 15 3.6 Group 4 3.6 15.0 Group 3 15.0 3.63 Group 4 3.63 14.9 Group 3 14.9 3.623 Group 4 3.623 12.47 Group 1 12.47 7.97 Group 2 7.97 12.46 Group 1 12.46 7.966 Group 2 7.966 12.4 Group 1 12.4 7.0 Group 2 7.0 13 Group 1 13 7.96 Group 2 7.96 12.5 Group 1 12.5 8.0 Group 2 8.0 3.622 Group 1…arrow_forward
- 2.7g/cm^3 2.73445 g/cm^3 2.7345 g/cm^3 2.73 g/cm^3 2.734 g/cm^3arrow_forwardDo the following calculation and report your answer with the correct number of significant figures. Write your rounded answer in the blank below. (23.780 x 0.00054)arrow_forwardDo the following multiplication and division calculations. Give a final answer with the correct number of significant figures and the correct units. Units can cancel or multiply just like number factors. (2.5 x 103 m/s) x (5.00 x 10-6 s) = ?arrow_forward
- I think I did a calculation wrong but I am having trouble understanding significant figures. In this problem, I am calculation the density of water from my previous calculations mass= 7.359g and volume=7.8mL. So I then divided 7.359g by 7.8mL to find density and got (.9434615385) on my calculator which I then turned into (.94) because I believe there should be 2 significant figures. Is (.94) correct or should 1.4 be the final answer?arrow_forwardThe quadratic formula is used to solve for x in equations taking the form of a quadratic equation, ax? + bx + c = 0. -b ± b2 – 4ac quadratic formula: x = 2a Solve for x in the following expression using the quadratic formula. 2x2 + 21x – 7.1 = 0 Use at least three significant figures in each answer. x = and x =arrow_forwardQuestion 1: Determine whether the answer to each calculation has the correct number of significant figures. If not, correct it: 1A) 89.763 + 22.4581 = 3.997 1B) 4.32x1012 ÷ 3.1x104 = 1.4x1016 Question 2: Perform this calculation to the correct number of significant figures 9443 + 45 – 9.9 x 8.1x106 Question 3: Perform the following conversions: 3A) 78.3 cm to inches 3B) 22.5 lbs. to micrograms 3C) 396 in to L 4A) A new penny has a mass of 2.49g and a volume of 0.349cm³. Is the penny pure copper?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
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 ChangeChemistryISBN:9780078746376Author:Dinah Zike, Laurel Dingrando, Nicholas Hainen, Cheryl WistromPublisher:Glencoe/McGraw-Hill School Pub Co
Chemistry: Principles and PracticeChemistryISBN:9780534420123Author:Daniel L. Reger, Scott R. Goode, David W. Ball, Edward MercerPublisher: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 Practice
Chemistry
ISBN:9780534420123
Author:Daniel L. Reger, Scott R. Goode, David W. Ball, Edward Mercer
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