Conversion Problems 3 3 Slide 1 of 43

Conversion Problems 3. 3 Slide 1 of 43

3. 3 3 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. Slide 2 of 43 © Copyright Pearson Prentice Hall

3. 3 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. Slide 3 of 43 © Copyright Pearson Prentice Hall

3. 3 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. Slide 4 of 43 © Copyright Pearson Prentice Hall

3. 3 Conversion Problems > Conversion Factors The scale of the micrograph is in nanometers. Using the relationship 109 nm = 1 m, you can write the following conversion factors. Slide 5 of 43 © Copyright Pearson Prentice Hall

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. Slide 6 of 43 © Copyright Pearson Prentice Hall

SAMPLE PROBLEM 3. 5 Slide 7 of 43 © Copyright Pearson Prentice Hall

SAMPLE PROBLEM 3. 5 Slide 8 of 43 © Copyright Pearson Prentice Hall

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. Slide 9 of 43 © Copyright Pearson Prentice Hall

SAMPLE PROBLEM 3. 7 Slide 10 of 43 © Copyright Pearson Prentice Hall

Practice Problems for Sample Problem 3. 7 Problem Solving 3. 33 Solve Problem 33 with the help of an interactive guided tutorial. Slide 11 of 43 © Copyright Pearson Prentice Hall

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. Slide 12 of 43 © Copyright Pearson Prentice Hall