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Conversion Problems 3.3

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Conversion Problems 3.33 Because 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.

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**A conversion factor is a ratio of equivalent measurements.**

3.3 Conversion Factors A 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.

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**Learn how to select the proper conversion factor and how to use it.**

Conversion Factors Animation 3 Learn how to select the proper conversion factor and how to use it.

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3.3 Conversion Factors When 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.

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3.3 Conversion Factors The 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?

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**Dimensional Analysis 3.3 Why is dimensional analysis useful?**

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for Sample Problem 3.5 Problem Solving 3.29 Solve Problem 29 with the help of an interactive guided tutorial.

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for Sample Problem 3.6 For Sample Problem 3.6 Problem Solving 3.30 Solve Problem 30 with the help of an interactive guided tutorial.

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for Sample Problem 3.7 Problem Solving 3.33 Solve Problem 33 with the help of an interactive guided tutorial.

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**Converting Between Units**

3.3 Converting Between Units Multistep Problems When 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.

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for Sample Problem 3.8 Problem Solving 3.35 Solve Problem 35 with the help of an interactive guided tutorial.

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**Converting Between Units**

3.3 Converting Between Units Converting Complex Units Many 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.

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for Sample Problem 3.9 Problem-Solving 3.37 Solve Problem 37 with the help of an interactive guided tutorial.

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Section Assessment 3.3

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3.3 Section Quiz 1. 1 Mg = 1000 kg. Which of the following would be a correct conversion factor for this relationship? 1000. 1/1000. ÷ 1000. 1000 kg/1Mg.

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3.3 Section Quiz 2. The conversion factor used to convert joules to calories changes the 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.

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3.3 Section Quiz 3. How many g are in g? 1.34 10–4 1.34 10–6 1.34 106 1.34 104

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3.3 Section Quiz 4. Express the density 5.6 g/cm3 in kg/m3. 5.6 106kg/m3 5.6 103kg/m3 0.56 kg/m3 kg/m3

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