Test Your Conversion Skills!
Complete all problems showing your work. Use proper significant figures and scientific notation where appropriate. Remember to include units with every step!
Problem 1
Express each of the following numbers in exponential (scientific) notation:
Problem 2
Solve the following problems, stating answers to the proper number of significant figures:
Problem 3
One liter of homogenized whole milk has a mass of 1032 g. What is the density of the milk in grams per milliliter? In kilograms per liter?
Problem 4
The dashed lane markers on an interstate highway are 2.5 meters long and 4.0 meters apart. One (1.0) qt of paint covers 43 ft². How many dashed lane markers can be painted with 8.15 gal of paint?
Problem 5
The accepted toxic dose of mercury is 300 μg/day. Dental offices sometimes contain as much as 2.2 × 10⁻⁶ m³ of mercury per cubic meter of air. If a nurse working in the office breathes 2.2 × 10⁻⁶ m³ of air per day, is he or she at risk for mercury poisoning? (Density of mercury = 13.6 g/mL)
Problem 6
According to the National Heart, Lung, and Blood Institute, LDL-cholesterol levels of less than 130 mg of LDL-cholesterol per deciliter of blood are desirable for heart health in humans. On the average, a human has 4.7 L of whole blood. What is the maximum number of grams of LDL-cholesterol that a human should have?
Problem 7
Pure water at 4.0°C has a density of 1.00 g/mL. How many pounds does 2.50 gallons of water weigh?
Problem 8
The height of a horse is measured in hands (1 hand = exactly 4 inches). How many meters is a horse that measures 14.2 hands?
Problem 9
Camels have been reported to drink as much as 22.5 gallons of water in 12 hours. How many liters can they drink in 30. days?
Problem 10
How many cubic centimeters are in 1.00 cubic inch?
Problem 11
The Sacagawea gold-colored dollar coin has a mass of 8.1 g and is 3.5% manganese. What is the mass in ounces (1 lb = 16 oz) and how many ounces of Mn are in this coin?
Problem 12
A very strong camel can carry 990 lb. If one straw weighs 1.5 grams, how many straws can the camel carry without breaking his back?
Problem 13
Calculate the number of milliliters of water in a cubic foot of water.
Problem 14
Oil spreads in a thin layer on water called an "oil slick." How much area in m² will 200 cm³ of oil cover if it forms a layer 0.5 nm thick?
Problem 15
How many liters of oil are in a 42-gal barrel of oil?
Problem 16
A textbook is 27 cm long, 21 cm wide, and 4.4 cm thick. What is the volume in:
Problem 17
The largest nugget of gold on record was found in 1872 in New South Wales, Australia, and had a mass of 93.3 kg. Assuming the nugget is pure gold, what is its volume in cubic centimeters? What is it worth by today's standards if gold is $559/oz? (14.58 troy oz = 1 lb, density of gold = 19.3 g/cm³)
Problem 18
The weight of a diamond is measured in carats. How many pounds does a 5.75-carat diamond weigh? (1 carat = 200. mg)
Problem 19
In 2005, Jarno Trulli was the Pole Winner of the United States Grand Prix Race with a speed of 133 miles per hour. What was his speed in cm/s?
Problem 20
The price of gold varies greatly and has been as high as $875 per ounce. What is the value of 250 g of gold at $559 per ounce? Gold is priced by troy ounce. (14.58 troy ounces = 1 lb)