General, Organic, and Biological Chemistry
7th Edition
ISBN: 9781285853918
Author: H. Stephen Stoker
Publisher: Cengage Learning
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Textbook Question
Chapter 2, Problem 2.69EP
Write each of the following numbers in scientific notation to the number of significant figures indicated in parentheses.
- a. 0.00300300 (three)
- b. 936,000 (two)
- c. 23.5003 (three)
- d. 450,000,001 (six)
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Two undefined numbers expressed in regular notationare s hown below, along with the number of places the decimal must move to express each in scientific notation. If each X represents a significant figure, write eachnumber in scientific notation.a. XXX.XXb. 0.000 000 XXX
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
Review the rules for significant figures in calculations. Perform the following
mathematical operations and round to the correct number of significant figures.
a. 27.95 + 13.6
b. 408 - 12.21
c. 81.32/0.781
d. 15.9 x 3.021
Chapter 2 Solutions
General, Organic, and Biological Chemistry
Ch. 2.1 - Prob. 1QQCh. 2.1 - Preference by scientists for metric system unit...Ch. 2.2 - In which of the following pairings of metric...Ch. 2.2 - In which of the following sequences are the metric...Ch. 2.2 - Which of the following is a correct pairing of...Ch. 2.2 - Prob. 4QQCh. 2.2 - Prob. 5QQCh. 2.2 - Prob. 6QQCh. 2.2 - Prob. 7QQCh. 2.3 - Prob. 1QQ
Ch. 2.3 - Prob. 2QQCh. 2.4 - Prob. 1QQCh. 2.4 - Prob. 2QQCh. 2.4 - Prob. 3QQCh. 2.4 - Prob. 4QQCh. 2.4 - Prob. 5QQCh. 2.4 - Prob. 6QQCh. 2.5 - In which of the following cases is the given...Ch. 2.5 - When rounded to three significant figures, the...Ch. 2.5 - Prob. 3QQCh. 2.5 - Prob. 4QQCh. 2.6 - Prob. 1QQCh. 2.6 - Prob. 2QQCh. 2.6 - Prob. 3QQCh. 2.6 - Prob. 4QQCh. 2.6 - Prob. 5QQCh. 2.6 - Prob. 6QQCh. 2.7 - Prob. 1QQCh. 2.7 - Prob. 2QQCh. 2.7 - Which of the following is an incorrect conversion...Ch. 2.7 - Prob. 4QQCh. 2.8 - Prob. 1QQCh. 2.8 - Prob. 2QQCh. 2.9 - Prob. 1QQCh. 2.9 - Prob. 2QQCh. 2.9 - Prob. 3QQCh. 2.9 - What is the mass, in grams, of 30.0 mL of liquid...Ch. 2.10 - The freezing point of water is a. 0F b. 0 K c. 0C...Ch. 2.10 - Prob. 2QQCh. 2.10 - Prob. 3QQCh. 2.10 - Prob. 4QQCh. 2 - What is the main reason scientists prefer to use...Ch. 2 - List the more common types of measurements made in...Ch. 2 - Complete the following table by filling in the...Ch. 2 - Complete the following table by filling in the...Ch. 2 - Complete the following table by filling in the...Ch. 2 - Complete the following table by filling in the...Ch. 2 - Arrange each of the following from smallest to...Ch. 2 - Arrange each of the following from smallest to...Ch. 2 - Which of the two given units is the more logical...Ch. 2 - Which of the two given units is the more logical...Ch. 2 - A person is told that there are 60 minutes in an...Ch. 2 - Prob. 2.12EPCh. 2 - Indicate whether the number in each of the...Ch. 2 - Indicate whether the number in each of the...Ch. 2 - Indicate whether each of the following quantities...Ch. 2 - Indicate whether each of the following quantities...Ch. 2 - Identify the estimated digit in each of the...Ch. 2 - Identify the estimated digit in each of the...Ch. 2 - Prob. 2.19EPCh. 2 - Prob. 2.20EPCh. 2 - Indicate to what decimal position readings should...Ch. 2 - Indicate to what decimal position readings should...Ch. 2 - Consider the following rulers as instruments for...Ch. 2 - Consider the following rulers as instruments for...Ch. 2 - Using the rulers given in Problem 2-23, what is...Ch. 2 - Using the rulers given in Problem 2-23, what is...Ch. 2 - With which of the rulers in Problem 2-23 was each...Ch. 2 - With which of the rulers in Problem 2-23 was each...Ch. 2 - Determine the number of significant figures in...Ch. 2 - Determine the number of significant figures in...Ch. 2 - Determine the number of significant figures in...Ch. 2 - Determine the number of significant figures in...Ch. 2 - In which of the following pairs of numbers do both...Ch. 2 - In which of the following pairs of numbers do both...Ch. 2 - Prob. 2.35EPCh. 2 - In the pairs of numbers of Problem 2-34, tell...Ch. 2 - Prob. 2.37EPCh. 2 - Complete the following table by filling in the...Ch. 2 - Prob. 2.39EPCh. 2 - The number of people present at an outdoor rock...Ch. 2 - Round off each of the following numbers to the...Ch. 2 - Round off each of the following numbers to the...Ch. 2 - Prob. 2.43EPCh. 2 - Round off (or add zeros) to each of the following...Ch. 2 - Complete the following table by filling in the...Ch. 2 - Complete the following table by filling in the...Ch. 2 - Without actually solving, indicate the number of...Ch. 2 - Without actually solving, indicate the number of...Ch. 2 - Prob. 2.49EPCh. 2 - Carry out the following multiplications and...Ch. 2 - Carry out the following additions and...Ch. 2 - Carry out the following additions and...Ch. 2 - What is the uncertainty in the measured value...Ch. 2 - What is the uncertainty in the measured value...Ch. 2 - For each of the following numbers, will the...Ch. 2 - For each of the following numbers, will the...Ch. 2 - Prob. 2.57EPCh. 2 - Prob. 2.58EPCh. 2 - Prob. 2.59EPCh. 2 - For each of the numbers in Problem 2-56, how many...Ch. 2 - Express the following measured values in...Ch. 2 - Express the following measured values in...Ch. 2 - Change each of the following measured values from...Ch. 2 - Change each of the following measured values from...Ch. 2 - Prob. 2.65EPCh. 2 - Prob. 2.66EPCh. 2 - What is the uncertainty, in terms of a power of...Ch. 2 - What is the uncertainty, in terms of a power of...Ch. 2 - Write each of the following numbers in scientific...Ch. 2 - Write each of the following numbers in scientific...Ch. 2 - Give the two forms of the conversion factor that...Ch. 2 - Give the two forms of the conversion factor that...Ch. 2 - Give the two forms of the conversion factor that...Ch. 2 - Give the two forms of the conversion factor that...Ch. 2 - Prob. 2.75EPCh. 2 - Indicate whether each of the following equations...Ch. 2 - Using dimensional analysis, convert each of the...Ch. 2 - Using dimensional analysis, convert each of the...Ch. 2 - The human stomach produces approximately 2500 mL...Ch. 2 - A typical loss of water through sweating for a...Ch. 2 - The mass of premature babies is customarily...Ch. 2 - The smallest bone in the human body, which is in...Ch. 2 - What volume of water, in gallons, would be...Ch. 2 - What volume of gasoline, in milliliters, would be...Ch. 2 - An individual weighs 83.2 kg and is 1.92 m tall....Ch. 2 - An individual weighs 135 lb and is 5 ft 4 in....Ch. 2 - Prob. 2.87EPCh. 2 - Prob. 2.88EPCh. 2 - Prob. 2.89EPCh. 2 - When each of the following measurements of mass is...Ch. 2 - A sample of mercury is found to have a mass of...Ch. 2 - A sample of sand is found to have a mass of 12.0 g...Ch. 2 - Acetone, the solvent in nail polish remover, has a...Ch. 2 - Silver metal has a density of 10.40 g/cm3. What is...Ch. 2 - The density of homogenized milk is 1.03 g/mL. How...Ch. 2 - Nickel metal has a density of 8.90 g/cm3. How much...Ch. 2 - Water has a density of 1.0 g/cm3 at room...Ch. 2 - Air has a density of 1.29 g/L at room temperature....Ch. 2 - Prob. 2.99EPCh. 2 - A two-gram sample of a red-colored liquid is found...Ch. 2 - Calculate the volume, in milliliters, for each of...Ch. 2 - Calculate the volume, in milliliters, for each of...Ch. 2 - An oven for baking pizza operates at approximately...Ch. 2 - A comfortable temperature for bathtub water is...Ch. 2 - Mercury freezes at 38.9C. What is the coldest...Ch. 2 - Prob. 2.106EPCh. 2 - Prob. 2.107EPCh. 2 - Which is the higher temperature, 15C or 4F?
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- Determine whether each statement that follows is true or false: a The SI system includes metric units. b If two quantities are expressed in an equivalency, they are directly proportional to each other. c The scientific notation form of a number smaller than 1 has a positive exponent. d In changing a number in scientific notation whose coefficient is not between 1 and 10 to standard scientific notation, the exponent becomes smaller if the decimal in the coefficient is moved to the right. e There are 1000 kilounits in a unit. f There are 10 milliunits in a centiunit g There are 1000 milliliters in a cubic centimeter. h The mass of an object is independent of its location in the universe. i Celsius degrees are smaller than Fahrenheit degrees. j The uncertain digit is the last digit written when a number is expressed properly in significant figures. k The quantity 76.2 g means the same as 76.200 g. l The number of significant figures in a sum may be more than the number of significant figures in any of the quantities added. m The number of significant figures in a difference may be fewer than the number of significant figures in any of the quantities subtracted. n The number of significant figures in a product may be more than the number of significant figures in any of the quantities multiplied. o The process of analysis of a problem statement includes describing the properties of the given and wanted quantities. p If the quantity in the answer to a problem is familiar, it is not necessary to check to make sure the answer is reasonable. q Conversion factors can be used to change from one unit to another only when the quantities are directly proportional. r When you are learning chemistry, you should check the solution to each problem you solve at two levels: 1 is the value reasonable? 2 what new knowledge or skill did I obtain or improve? s There is no advantage to using units in a problem that is solved by algebra. t A Fahrenheit temperature can be changed to a Celsius temperature by multiplying by a conversion factor.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_forwardHow does the International System (SI) obtain units of different size from a given unit? How does the International System obtain units for all possible physical quantities from only seven base units?arrow_forward
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- Choose ALL of the following that express the given numbers in correct scientific notation. a. 52,030.2 is the same as 5.20302x10-4 b. 52,030.2 is the same as 5.20302x104 c. 52,030.2 is the same as 5.20302x105 d. 7.913x10-6 is the same as 0.000007913 e. 7.913x10-6 is the same as 7913000 f. 7.913x10-6 is the same as 0.00007913arrow_forwardWrite the following numbers in scientific notation.a. 0.0045834 mm c. 438,904 sb. 0.03054 g d. 7,004,300,000 garrow_forwardUse scientific notation to express each quantity with only base units (no prefix multipliers).a. 4.5 ns b. 18 fs c. 128 pm d. 35 mmarrow_forward
- Conversions: include the correct number of significant digits and follow the format provided in the image. a. 1.2 g to ug (micrograms) b. 10.0 cm to inarrow_forwardWhen you see this number: 4 000 --- or four thousand, how do we mathematically and scientifically see this: a. it has only 1 significant number b. the zeros here are significant because it shows the numbers conceptualize 'thousand' place c. the zeros here is either significant or non-significant d. the zeros here are non-significant *Choose only one answer and explain.arrow_forwardUse the References to access important values if needed for this question. The number 4.75721 rounded to 3 significant figures is: The number 819.8349 rounded to 4 significant figures is: The number 18.25901 rounded to 5 significant figures is:arrow_forward
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