2Conversion Problems3.33Because each country’s currency compares differently with the U.S. dollar, knowing how to convert currency units correctly is very important. Conversion problems are readily solved by a problem-solving approach called dimensional analysis.
3A conversion factor is a ratio of equivalent measurements. 3.3Conversion FactorsA conversion factor is a ratio of equivalent measurements.The ratios 100 cm/1 m and 1 m/100 cm are examples of conversion factors.The two parts of a conversion factor, the numerator and the denominator, are equal.
4Learn how to select the proper conversion factor and how to use it. Conversion FactorsAnimation 3Learn how to select the proper conversion factor and how to use it.
53.3Conversion FactorsWhen a measurement is multiplied by a conversion factor, the numerical value is generally changed, but the actual size of the quantity measured remains the same.
63.3Conversion FactorsThe scale of the micrograph is in nanometers. Using the relationship 109 nm = 1 m, you can write the following conversion factors.In this computer image of atoms, distance is marked off in nanometers (nm). Inferring What conversion factor would you use to convert nanometers to meters?
7Dimensional Analysis 3.3 Why is dimensional analysis useful?
22for Sample Problem 3.7Problem Solving 3.33 Solve Problem 33 with the help of an interactive guided tutorial.
23Converting Between Units 3.3Converting Between UnitsMultistep ProblemsWhen converting between units, it is often necessary to use more than one conversion factor. Sample problem 3.8 illustrates the use of multiple conversion factors.
28for Sample Problem 3.8Problem Solving 3.35 Solve Problem 35 with the help of an interactive guided tutorial.
29Converting Between Units 3.3Converting Between UnitsConverting Complex UnitsMany common measurements are expressed as a ratio of two units. If you use dimensional analysis, converting these complex units is just as easy as converting single units. It will just take multiple steps to arrive at an answer.
363.3 Section Quiz1. 1 Mg = 1000 kg. Which of the following would be a correct conversion factor for this relationship? 1000. 1/1000.÷ 1000.1000 kg/1Mg.
373.3 Section Quiz2. The conversion factor used to convert joules to calories changesthe quantity of energy measured but not the numerical value of the measurement.neither the numerical value of the measurement nor the quantity of energy measured.the numerical value of the measurement but not the quantity of energy measured.both the numerical value of the measurement and the quantity of energy measured.
383.3 Section Quiz3. How many g are in g?1.34 10–41.34 10–61.34 1061.34 104
393.3 Section Quiz4. Express the density 5.6 g/cm3 in kg/m3.5.6 106kg/m35.6 103kg/m30.56 kg/m3kg/m3