Concept explainers
Express each number in decimal notation (i.e., express the number without using scientific notation).
a.
(
b.
c.
d.
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Introducing Chemistry
- 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_forwardPerform these calculations and express the result with the proper number of significant figures. (a) (4.850g2.34g)/1.3mL (b) V=r3, where r=4.112cm (c) (4.66103)4.666 (d) 0.003400/65.2arrow_forwardA 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_forward
- 1.47 A student weighs 10 quarters and finds that their total mass is 56.63 grams. What should she report as the average mass of quarter based on her data?arrow_forwardWhich 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 lap in most tracks in the United States is 0.25 mi (English lap). In most countries that use the metric system, a metric lap is 0.40 km. A champion marathon runner covers a mile in about 5.0 min. How many minutes will the runner take to run an English lap? A metric lap?arrow_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_forwardDetermine 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_forwardWrite the following numbers in ordinary decimal form: a 5.12 x 106, b 8.04 x 10-7, c 1.92 x 1021.arrow_forward
- 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_forwarda 21.7 m to cm, b 517 m to km, c 0.666 km to cmarrow_forwardThe melting point of sodium chloride, table salt, is 801 C. What is this temperature in degrees Fahrenheit and in kelvins?arrow_forward
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