Concept explainers
(a)
Interpretation:
The equation
Concept Introduction:
Numbers are classified into two, namely the exact numbers and the inexact numbers. Exact numbers appear exactly with no uncertainty and occur during counting, with definite numbers and with no decimal number. While inexact numbers has some uncertainty and occurs during any kind of measurement that is made. Measurements made with numerical are impossible to be so exact. Hence numerical measurements are always inexact.
(b)
Interpretation:
The equation
Concept Introduction:
Numbers are classified into two, namely the exact numbers and the inexact numbers. Exact numbers appear exactly with no uncertainty and occur during counting, with definite numbers and with no decimal number. While inexact numbers has some uncertainty and occurs during any kind of measurement that is made. Measurements made with numerical are impossible to be so exact. Hence numerical measurements are always inexact.
(c)
Interpretation:
The equation
Concept Introduction:
Numbers are classified into two, namely the exact numbers and the inexact numbers. Exact numbers appear exactly with no uncertainty and occur during counting, with definite numbers and with no decimal number. While inexact numbers has some uncertainty and occurs during any kind of measurement that is made. Measurements made with numerical are impossible to be so exact. Hence numerical measurements are always inexact.
(d)
Interpretation:
The equation
Concept Introduction:
Numbers are classified into two, namely the exact numbers and the inexact numbers. Exact numbers appear exactly with no uncertainty and occur during counting, with definite numbers and with no decimal number. While inexact numbers has some uncertainty and occurs during any kind of measurement that is made. Measurements made with numerical are impossible to be so exact. Hence numerical measurements are always inexact.
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General, Organic, and Biological Chemistry
- 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_forwardWhich of the following quantities are expressed in metric units? a. Normal body temperature: 37C b. The amount of soft drink in a bottle: 2L c. The height of a ceiling in a room: 8.0ft d. The amount of aspirin in a tablet: 81mg e. The volume of a cooking pot: 4qt f. The time for a short race to be won: 10.2sarrow_forwardWrite conversion factors (as ratios) for the number of: kilometers in 1 mile liters in 1 cubic foot grams in 1 ouncearrow_forward
- Distinguish precisely and in scientific terms the differences among items in each of the following groups. a Coefficient, exponent, exponential b Equivalency, conversion factor, quantity, value, unit c Analyze, identify, construct, check d Mass, weight e Unit, kilounit, centiunit, milliunit f Significant figures, uncertain digit g Uncertainty, exact number h The symbols = and i Fahrenheit, Celsius, kelvin j Direct proportionality, proportionality constant k Density, mass, volumearrow_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_forwardWhich of the following statements use only exact numbers? (a) The temperature in our dorm room is kept at 72 F. (b) 1 bought 6 eggs, 2 cookies, and 5 tomatoes at the farmers' market. (c) There are 1109 nanometers in 1 meter.arrow_forward
- Use the following exact conversion factors to perform the stated calculations: 512 yd -= 1 rod 40 rods = 1 furlong 8 furlongs = 1 mile a. The Kentucky Derby race is 1.25 miles. How long is the race in rods, furlongs, meters, and kilometers? b. A marathon race is 26 miles, 385 yards. What is this distance in rods, furlongs, meters, and kilometers?arrow_forwardHow many significant figures are contained in each of the following measurements? 38.7 g 21018m 3,486,002 kg 9.74150104J 0.0613cm3 17.0 kg 0.01400 g/mLarrow_forwardMEASUREMENT Setting up a one-step unit conversion A 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. g - 8.3 x 10* )0= ? 4 x10 mLarrow_forward
- Perform the following calculations and round the answers to the correct number of significant figures. (units of measurement have been omitted) 3.38-3.01 4.18 - 58.16 * (3.38 -3.01)arrow_forwardPerform the following conversions. Be sure to show your work and report your answer with the correct number of significant figures and units. a. 4.04x10^2s = ___ microseconds b. 111.1Ms =____ kiloseconds c. 0.75 dL =_____ cm^3 d. 5x10^-8 kL = _____mLarrow_forwarda. Using the correct rules for multiplication/division and significant figures provide the answer for the following calculation. 6.98 x 89.44 = b. Using the correct rules for multiplication/division and significant figures provide the answer for the following calculation. 7831 x 76.987 = c. Using the correct rules for addition/subtraction and significant figures provide the answer for the following calculation. 7831 + 76.987 = d. Using the correct rules for addition/subtraction and significant figures provide the answer for the following calculation. 7831.67 + 76.987 = e. Using the correct rules for addition/subtraction and significant figures provide the answer for the following calculation. 7831.67 + 76.987 =arrow_forward
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