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Unit Conversions Problems Show all work (use a separate sheet of paper if necessary). Put answers in scientific notation indicating the correct number of significant figures. 1) How many nickels are in a $2 roll? 2) A coin collector has 2,150 dimes. What is the dollar value? 3) What is the number of pencils in 0.750 gross? (A gross of pencils is 12 dozen; that is, 144.) 4) How many reams of paper can be packaged if 12,500 sheets are available? (A ream of paper is 500 sheets.) 5) How many karats is a diamond weighing 0.305 gram? (One karat is 0.200 gram.) 6) How many liters of gasoline are required to fill a 20.0-gallon tank? (One gallon is 3.78 liters.) 7) How many miles does light travel in an hour? (The velocity of light is 186,000 miles per second.) 8) The oldest rock found on earth was discovered in South Africa. The rock is estimated to be 4.0 billion years old using uranium-238 age dating. Express the age of the rock in hours using scientific notation. 9) The Apollo 15 brought back a lunar sample dubbed the Genesis Rock. The rock is estimated to be 4.1 billion years old using uranium-238 age dating. Express the age of the rock in minutes using scientific notation. 10) A troy ounce equals 31.1 grams; one troy pound equals 12 troy ounces. What is the mass in grams of a pound of gold? (Note: The mass of gold is measured in the troy system.) 11) An avoirdupois ounce equals 28.4 grams; What is the mass in grams of one avoirdupois pound of feathers? (Note: The mass of the feathers is measured in the avoirdupois system.) 12) Sherrina can run 2.000 × 102 meters in 25.65 seconds. What is her speed in miles per week? 13) A Hummer H3 can travel an estimated 570 miles on its 51.5 gallon tank. If gas costs $2.95 per gallon, how far can you drive a Hummer H3 on $5.00? 14) Round off the velocity of a Firebolt, 9.95 × 101 m/s, to two significant digits. 15) Round off the velocity of light, 2.997925 x 1010 cm/s, to three significant digits.
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