Conversion Problems 3.3 3

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1 Conversion Problems of Conversion Problems 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 problemsolving approach called dimensional analysis. 2 of 43 1

2 3.3 Conversion Problems > Conversion Factors Conversion Factors What happens when a measurement is multiplied by a conversion factor? 3 of Conversion Problems > 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. 4 of 43 2

3 Conversion Problems > Conversion Factors Animation 3 Learn how to select the proper conversion factor and how to use it. 5 of Conversion Problems > 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. 6 of 43 3

4 3.3 Conversion Problems > Conversion Factors The scale of the micrograph is in nanometers. Using the relationship 10 9 nm = 1 m, you can write the following conversion factors. 7 of Conversion Problems > Dimensional Analysis Dimensional Analysis Why is dimensional analysis useful? 8 of 43 4

5 3.3 Conversion Problems > Dimensional Analysis Dimensional analysis is a way to analyze and solve problems using the units, or dimensions, of the measurements. Dimensional analysis provides you with an alternative approach to problem solving. 9 of of 43 5

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7 of 43 Practice Problems for Sample Problem of 43 7

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10 Practice Problems for Sample Problem 3.6 For Sample Problem of Conversion Problems > Converting Between Units Converting Between Units What types of problems are easily solved by using dimensional analysis? 20 of 43 10

11 3.3 Conversion Problems > Converting Between Units Problems in which a measurement with one unit is converted to an equivalent measurement with another unit are easily solved using dimensional analysis. 21 of of 43 11

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14 3.3 Conversion Problems > 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. 27 of of 43 14

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17 3.3 Conversion Problems > 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. 33 of of 43 17

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19 of 43 Practice Problems for Sample Problem of 43 19