(a)
Interpretation:
The calculations are to be expressed by using scientific notation.
Concept introduction:
Scientific notation is used to write large numbers by shifting the decimal point. It is expressed as the product of a decimal term and
Answer to Problem 1.61E
The simplified form of the given fraction is
Explanation of Solution
The given fraction is,
The fraction can be expressed as follows:
The answer of the given fraction can be calculated as follows:
Hence, the simplified form of the given fraction is
The simplified form of the given fraction is
(b)
Interpretation:
The calculations are to be expressed by using scientific notation.
Concept introduction:
Scientific notation is used to write large numbers by shifting the decimal point. It is expressed as the product of a decimal term and
Answer to Problem 1.61E
The simplified form of the given fraction is
Explanation of Solution
The given fraction is,
The fraction can be expressed as follows:
The answer of the given fraction can be calculated as follows:
Hence, the simplified form of the given fraction is
The simplified form of the given fraction is
(c)
Interpretation:
The calculations are to be expressed by using scientific notation.
Concept introduction:
Scientific notation is used to write large numbers by shifting the decimal point. It is expressed as the product of a decimal term and
Answer to Problem 1.61E
The simplified form of the given fraction is
Explanation of Solution
The given fraction is,
The fraction can be expressed as follows:
The answer of the given fraction can be calculated as follows:
Hence, the simplified form of the given fraction is
The simplified form of the given fraction is
(d)
Interpretation:
The calculations are to be expressed by using scientific notation.
Concept introduction:
Scientific notation is used to write large numbers by shifting the decimal point. It is expressed as the product of a decimal term and
Answer to Problem 1.61E
The simplified form of the given fraction is
Explanation of Solution
The given fraction is,
The answer of the given fraction can be calculated as follows:
Hence, the simplified form of given fraction is
The simplified form of the given fraction is
(e)
Interpretation:
The calculations are to be expressed by using scientific notation.
Concept introduction:
Scientific notation is used to write large numbers by shifting the decimal point. It is expressed as the product of a decimal term and
Answer to Problem 1.61E
The simplified form of the given fraction is
Explanation of Solution
The given fraction is,
The answer of a given fraction can be calculated as follows:
The numbers are adjusted to a standard position. The decimal is shifted towards right and the power of
Hence, the simplified form of given fraction is
The simplified form of the given fraction is
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Chapter 1 Solutions
Chemistry for Today: General, Organic, and Biochemistry
- Gallium is one of the few metals that can melt at room temperature. Its melting point is 29.76C. If you leave solid gallium in your car on an early summer morning when the temperature is 75.0F, what physical state is the gallium in when you return to your car and the interior car temperature is 85.0F?arrow_forwardExpress each of the following numbers instandardscientific notation. a. 0.5012 b. 5,012,000 c. 0.000005012 d. 5.012 e. 5012 f. 0.005012arrow_forwardAt high noon on the lunar equator the temperature may reach 243 F. At night the temperature may sink to -261 F. Express the temperature difference in degrees Celsius.arrow_forward
- The volume of a square pyramid is (1/3)Bh where B is the area of the square base and h is the height. One student's measurements of a pyramid are B=1.33m2 h=2.79 m. Another student's measurements of the same pyramid are B=1.31m2, h=2.81 m. What is the difference in the volumes of the pyramid calculated by the two students?arrow_forwardWhen 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_forwardA two-gram sample of a red-colored liquid is found to have a volume of four cubic centimeters. Calculate the liquids density using the following uncertainty specifications, and express your answers in scientific notation. a. 2.00 g and 4.000 cm3 b. 2.000 g and 4.0 cm3 c. 2.0000 g and 4.000 cm3 d. 2.000 g and 4.0000 cm3arrow_forward
- Will the power of 10 have a positive, negative, or zero exponent when each of the following numbers is rewritten in standard scientific notation? a. 0.7229 c. 0.00372 b. 5.408 d. 6,319,423arrow_forwardWhen chlorine gas is bubbled into a solution of sodium bromide, the sodium bromide reacts to give bromine, a red-brown liquid, and sodium chloride (ordinary table salt). A solution was made by dissolving 20.6 g of sodium bromide in 100.0 g of water. After passing chlorine through the solution, investigators analyzed the mixture. It contained 16.0 g of bromine and 11.7 g of sodium chloride. How many grams of chlorine reacted?arrow_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_forward
- A Different civilization on a distant planet has developed a new temperature scale based on ethyl alcohol. The freezing point of ethyl alcohol (117C) is designated as 0J, and its boiling point (78C) is designated as 100J. Assuming that the relationship between C and J is linear, (a) draw a graph of the line using the data above. (b) what is the slope of the line? (c) what is the y-intercept of the line? (d) Write an equation to convert J to C.arrow_forwardhow can i calculate x? kb= 4.27x10^-10arrow_forward1.Which is heavier? 1 (a)Group of answer choices 1.3 kg 1.3 lbs 1.3 g (b)Which is shorter? Group of answer choices 0.01 hr 25 s 2500 ms (c) Which is more in total? Group of answer choices 1.50lbs + 678g 0.98kg + 22,500mgarrow_forward
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