Midterm 1 - Units and Real WorldNumbersMath 1030 - Dylan Zwick’s C lassFall 2007Name:Conversion Factors1 year = 365 days1 day = 24 hours1 hour = 60 minutes1 minute = 60 seconds1 dram = 3 scruples1 scruple = 20 grains1 grain = 0.0648 grams1 kilogram = 2.2046 pounds1 dollar = 115.367 yenConstantsDiameter of Carbon Atom = 1 × 10−10metersEarth-Sun Distance = 1.49578 × 1011metersMass of Carbon = 12.000 grams per mole.1 mole = 6.022 × 1023atoms.11. Unit Conversions (10 points)(a) How many minutes are there in two years? (2 points)(b) How many drams are in a kilogram? (3 points)(c) How many carbon atoms, laid end to end, would it take to getfrom the Earth to the Sun? And how much would all theseatoms weight? (5 points)22. Compound Un it Problem (10 points)(a) If you have a 100 watt light bulb turned on for 10 hours per day,how much ene rgy (in kilowatt-hours) does this use in a 30 daymonth? (5 points)(b) If electricity is 9 cents per kilowatt-hour, how much does theelectricity cost to power the light bulb for that month? (5 points)33. Currency Conversion Problem (5 points)You plan to travel to Japan and you are practicing how to deal withdifferent measurement systems. Consider the following situation:Suppose pears at a store in Japan are priced at 950 yen p er kilogram.What is the price of these pears in US dollars per pound? (5 points)44. Percentages (10 points)(a) The annual number of deaths from cardiovascular disease inthe United States decreased from 1, 008, 000 in 197 0 to 910, 600in 2004. Find the absolute change, and the relative change as apercentage. (4 points)(b) A friend paid a total bill of $21.83 at a restaraunt and said sheleft an 18% tip. What was the original total of the restaraunt bill,before the tip? (3 points)(c) The federal reserve announces that it is changing interest ratesfrom 4% to 4.25%. By what relative percentage did interest ratesincrase? (3 points)Example - A change from 3% to 6% is a 100% relative increase.55. Scientific Notation (10 points)Perform the following calculations, and e xpress your answers in sci-entific notation:(a) 2.5 × 1012− 1.7 × 1012(2 points)(b) (3.1 × 105) ∗ (2.7 × 102) (2 points)(c)1.6 × 10−57.5 × 103(2 points)(d) 2.42 × 104+ 7.1 × 103(2 points)(e) Express 6, 590, 000, 000 in scientific notation. (2 points)66. Uncertainty (5 points)(a) Express the following solutions using the correct number of sig-nificant digits.i. 3.41in + 2.6in (2 points)ii.5.47892 × 1024.57 × 10−1(2 points)(b) If a scale has its base weight off by 2 lbs, so it weights everybodyat 2 lbs greater than their actual weight, is this an example of arandom error or a systematic error? (1
View Full Document
Unlocking...