Concept explainers
(a)
Interpretation:
Answer for
Concept Introduction:
In scientific work, large and very small numbers occurs frequently. But it is been observed that, to record these vast numbers or very small numbers is difficult because, the numbers may get missed while recording them. It is time consuming and the possibilities of error occurrence are also high. Hence to overcome these demerits, a method called scientific notation is used. Scientific notation is a numerical system where a decimal number is expressed as product of two number between 1 and 10 (coefficient) and 10 that is raised to power (exponential term). In this method the numbers are expressed in form of “
For multiplication of the scientific notation, the coefficients are multiplied as such and the exponents are added. For division of the scientific notation, the coefficients are divided as such and the exponents are subtracted.
(a)
Answer to Problem 2.66EP
Answer for
Explanation of Solution
Given scientific notation is
The coefficient has to be multiplied and the exponents has to be added. This can be done as shown below,
This value has to be expressed to the correct number of significant figures. One of the number that is multiplied has three significant figures while the other has two significant figures. Hence, the answer is expressed with two significant figures as
(b)
Interpretation:
Answer for
Concept Introduction:
In scientific work, large and very small numbers occurs frequently. But it is been observed that, to record these vast numbers or very small numbers is difficult because, the numbers may get missed while recording them. It is time consuming and the possibilities of error occurrence are also high. Hence to overcome these demerits, a method called scientific notation is used. Scientific notation is a numerical system where a decimal number is expressed as product of two number between 1 and 10 (coefficient) and 10 that is raised to power (exponential term). In this method the numbers are expressed in form of “
For multiplication of the scientific notation, the coefficients are multiplied as such and the exponents are added. For division of the scientific notation, the coefficients are divided as such and the exponents are subtracted.
(b)
Answer to Problem 2.66EP
Answer for
Explanation of Solution
Given scientific notation is
The coefficient has to be multiplied and the exponents has to be added. This can be done as shown below,
This value has to be expressed to the correct number of significant figures. One of the number that is multiplied has two significant figures. Hence, the answer is expressed with two significant figures as
(c)
Interpretation:
Answer for
Concept Introduction:
In scientific work, large and very small numbers occurs frequently. But it is been observed that, to record these vast numbers or very small numbers is difficult because, the numbers may get missed while recording them. It is time consuming and the possibilities of error occurrence are also high. Hence to overcome these demerits, a method called scientific notation is used. Scientific notation is a numerical system where a decimal number is expressed as product of two number between 1 and 10 (coefficient) and 10 that is raised to power (exponential term). In this method the numbers are expressed in form of “
For multiplication of the scientific notation, the coefficients are multiplied as such and the exponents are added. For division of the scientific notation, the coefficients are divided as such and the exponents are subtracted.
(c)
Answer to Problem 2.66EP
Answer for
Explanation of Solution
Given scientific notation is
The coefficient has to be divided and the exponents has to be subtracted. This can be done as shown below,
This value has to be expressed to the correct number of significant figures. Both the scientific notation has got two significant figures. Hence, the answer is expressed with two significant figures as
(d)
Interpretation:
Answer for
Concept Introduction:
In scientific work, large and very small numbers occurs frequently. But it is been observed that, to record these vast numbers or very small numbers is difficult because, the numbers may get missed while recording them. It is time consuming and the possibilities of error occurrence are also high. Hence to overcome these demerits, a method called scientific notation is used. Scientific notation is a numerical system where a decimal number is expressed as product of two number between 1 and 10 (coefficient) and 10 that is raised to power (exponential term). In this method the numbers are expressed in form of “
For multiplication of the scientific notation, the coefficients are multiplied as such and the exponents are added. For division of the scientific notation, the coefficients are divided as such and the exponents are subtracted.
(d)
Answer to Problem 2.66EP
Answer for
Explanation of Solution
Given scientific notation is
For multiplication, the coefficient has to be multiplied and the exponent has to be added and for division the coefficient has to be divided and the exponents has to be subtracted. This can be done as shown below,
This value has to be expressed to the correct number of significant figures. In scientific notations the least number of significant figure present is two. Hence, the answer is expressed with two significant figures as
Want to see more full solutions like this?
Chapter 2 Solutions
General, Organic, and Biological Chemistry
- A spherical tank has a radius of 175.0 in. Calculate the volume of the tank in cubic inches; then convert this to Imperial gallons. The volume of a sphere is (4/3) r3, where r is the radius. One Imperial gallon equals 277.4 in3.arrow_forwardTwo students were assigned to determine the mass of a sample of an unknown liquid. Student A used an ordinary laboratory balance that could determine mass to ±0.01 g. Student B used an analytical balance that could measure mass to ±0.1 mg. Each made four measurements, giving the following results: Student A: 8.19 g, 8.22 g, 8.21 g, 8.25 g Student B: 8.2210 g, 8.2210 g, 8.2209 g, 8.2210 g 2. Which student is more precise? A Barrow_forwardA rectangular block has dimensions 2.9 cm 3.5 cm 10.0 cm. The mass of the block is 615.0 g. What are the volume and density of the block?arrow_forward
- When a large or small number is written in standard scientific notation, the number is expressed as the product of a number between 1 and 10, multiplied by the appropriate power of 10. For each of the following numbers, indicate what power of 10 would be appropriate when expressing the numbers in standard scientific notation. a. 84,961,306 b. 0.4870 c. 0.000033812 d. 3,890,406,000,000arrow_forwardThe longest river in the world is the Nile River with a length of 4145 mi. How long is the Nile in cable lengths, meters, and nautical miles? Use these exact conversions to help solve the problem: 6 ft = 1 fathom 100 fathoms = 1 cable length 10 cable lengths = 1 nautical mile 3 nautical miles = 1 leaguearrow_forwardWithout actually performing the calculations indicated,tell to how many significant digits the answer to the calculation should be expressed. (0.1 96)(0.08215)(295)/(1.1) (4.2 15 + 3.991 + 2.442)/(0.22) (7.881)(4.224) (0.00033)/(2.997) (6.2 19 + 2.03)/(3.1159)arrow_forward
- Which of the following are exact numbers? a. There are 100 cm in 1 m. b. One meter equals 1.094 yards. c. We can use the equation F=95C+32 to convert from Celsius to Fahrenheit temperature. Are the numbers 95 and 32 exact or inexact? d. = 3.1415927.arrow_forwardA student determines the density of a metal by taking two cylinders of equal mass and volume. Cylinder A is filled with mercury and the metal. The mercury and metal together have a mass of 92.60 g. Cylinder B is filled only with mercury. The mass of the mercury in cylinder B is 52.6 g more than the mass of mercury and metal in cylinder A. What is the density of the metal? The density of mercury is 13.6 g/cm3.arrow_forwardThe astronomical unit equals the mean distance between the earth and the sun. This distance is 150,000,000 km, which is precise to three significant figures. Express this in scientific notation to the correct number of significant figures.arrow_forward
- A basketball game at the University of Connecticut's Gampel Pavilion attracted 10,000 people. The building's in-terior floor space has an area of 1.71105 ft2. Tickets to the game sold for $22.00. Senior citizens were given a 20% discount. How many significant figures are there in each quantity? (Your answer may include the words ambiguous and exact.)arrow_forwardAccording to the Official Rules of Baseball, a baseball must have a circumference not more than 9.25 in or less than 9.00 in and a mass not more than 5.25 oz or less than 5.00 oz. What range of densities can a baseball be expected to have? Express this range as a single number with an accompanying uncertainty limit.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
- General, Organic, and Biological ChemistryChemistryISBN:9781285853918Author:H. Stephen StokerPublisher:Cengage LearningChemistryChemistryISBN:9781305957404Author:Steven S. Zumdahl, Susan A. 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 LearningChemistry: Principles and ReactionsChemistryISBN:9781305079373Author:William L. Masterton, Cecile N. HurleyPublisher:Cengage Learning