56. Round the number on the left to the number of significantfigures indicated by the example in the first row. (Usescientific notation as needed to avoid ambiguity.)Rounded to 4 Rounded to 2 Rounded to 1SignificantFiguresSignificantFiguresSignificantFigureNumber9 × 10194.5211894.5295105.45450.4559810.009999991

Significant figures of a number are those which are absolutely necessary to explain the numbers…

Answered: 56. Round the number on the left to the…

Introductory Chemistry: A Foundation

9th Edition

ISBN:9781337399425

Author:Steven S. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Donald J. DeCoste

Chapter2: Measurements And Calculations

Section: Chapter Questions

Problem 116AP

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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. 3,890,406,000,000
When a large or small number is written in standard scientific notation, the number is expressed as the product of anumberbetween 1 and 10, multiplied by the appropriatepowerof 10. For each of the following numbers, indicate what number between 1 and 10 would be appropriate when expressing the numbers in standard scientific notation. 9651 0.003521 93,241 0.000001002
For the pin shown in Fig. 2.5, why is the third figure determined for the length of the pin uncertain? Considering that the third figure is uncertain, explain why the length of the pin is indicated as 2.85 cm rather than, for example, 2.83 or 2.87 cm.
Perform the indicated calculations, and express the answer to the correct number of significant figures. Use scientific notation where appropriate. 13.51 + 0.0459 16.45/32.0 + 10 3.14 × 104 − 15.0 7.18 × 103 ÷ 1.51 × 105
Without 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)
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.
The number 0.00754605000 whenconverted to standard exponential (or scientific) notation becomes ____ a. 7.55 x 103 b. 7.54605 x 10-3 c. 7.54605000 x 10-3 d. 7.54605000 x 103
Q1. Which student collected the most accurate data? Q2.Who collected the most precise data?
Round the following number to four significant figures and express the result in standard exponential notation: 0.00222755 2.228 × 103 22.28 × 102 0.2228 × 10-2 2.228 × 10-3 0.002228
A student obtains the following data: a- Mass of evaporating dish 21.345 g b- Mass of evaporating dish and saturated NaCl solution 42.817 g c- Mass of dish and NaCl after evaporation 38.915 g Report the Mass % of NaCl in this solution. Write the number as a percentage with the correct number of significant figures as shown. (i.e. 25%) There should be no space between the numbers and the % sign.
Measurement of the density of a solid object.Sample you are using is TinVolume of water in cylinder before submerging object 31.5 mL Volume of water in cylinder after submerging object 36.4 mLVolume of object _________mLVolume of object expressed as cm3. _____cm3
part A: Sort the following numbers according to whether they should be rounded up or down when rounding to the nearest tenth (the first digit after the decimal). 3.1760, 4.319, 19.47, 5.82, 66.9214, 8878.2010, 7.084, 124.76 part B: Drag the answers that have been correctly rounded to the appropriate number of significant figures to their place in the table. To avoid rounding errors, start with the unrounded value before conducting each manipulation. Drag the appropriate labels to their respective targets. View Available Hint(s)for Part B Reset Help 14.93 Group 3 14.93 12 Group 1 12 14.92 Group 3 14.92 3.62 Group 4 3.62 14 Group 3 14 3.7 Group 4 3.7 15 Group 3 15 3.6 Group 4 3.6 15.0 Group 3 15.0 3.63 Group 4 3.63 14.9 Group 3 14.9 3.623 Group 4 3.623 12.47 Group 1 12.47 7.97 Group 2 7.97 12.46 Group 1 12.46 7.966 Group 2 7.966 12.4 Group 1 12.4 7.0 Group 2 7.0 13 Group 1 13 7.96 Group 2 7.96 12.5 Group 1 12.5 8.0 Group 2 8.0 3.622 Group 1…

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