1. Slide 1 of 43 Slide 1 of 43 Conversion Problems 3.3

2. © Copyright Pearson Prentice Hall Slide 2 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 problem- solving approach called dimensional analysis.

3. © Copyright Pearson Prentice Hall Conversion Problems > Slide 3 of 43 Conversion Factors What happens when a measurement is multiplied by a conversion factor? 3.3

4. © Copyright Pearson Prentice Hall Slide 4 of 43 Conversion Problems > 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.

5. © Copyright Pearson Prentice Hall Slide 5 of 43 Conversion Problems > Conversion Factors Animation 3 Learn how to select the proper conversion factor and how to use it.

6. © Copyright Pearson Prentice Hall Slide 6 of 43 Conversion Problems > 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.

7. © Copyright Pearson Prentice Hall Slide 7 of 43 Conversion Problems > 3.3 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.

8. © Copyright Pearson Prentice Hall Conversion Problems > Slide 8 of 43 3.3 Dimensional Analysis Why is dimensional analysis useful?

9. © Copyright Pearson Prentice Hall Slide 9 of 43 Conversion Problems > 3.3 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.

10. © Copyright Pearson Prentice Hall SAMPLE PROBLEM Slide 10 of 43 3.5

11. © Copyright Pearson Prentice Hall SAMPLE PROBLEM Slide 11 of 43 3.5

12. © Copyright Pearson Prentice Hall SAMPLE PROBLEM Slide 12 of 43 3.5

13. © Copyright Pearson Prentice Hall SAMPLE PROBLEM Slide 13 of 43 3.5

14. © Copyright Pearson Prentice Hall Slide 14 of 43 Practice Problems Problem Solving 3.29 Solve Problem 29 with the help of an interactive guided tutorial. for Sample Problem 3.5

15. © Copyright Pearson Prentice Hall SAMPLE PROBLEM Slide 15 of 43 3.6

16. © Copyright Pearson Prentice Hall SAMPLE PROBLEM Slide 16 of 43 3.6

17. © Copyright Pearson Prentice Hall SAMPLE PROBLEM Slide 17 of 43 3.6

18. © Copyright Pearson Prentice Hall SAMPLE PROBLEM Slide 18 of 43 3.6

19. © Copyright Pearson Prentice Hall Slide 19 of 43 Practice Problems For Sample Problem 3.6 Problem Solving 3.30 Solve Problem 30 with the help of an interactive guided tutorial. for Sample Problem 3.6

20. © Copyright Pearson Prentice Hall Conversion Problems > Slide 20 of 43 Converting Between Units What types of problems are easily solved by using dimensional analysis? 3.3

21. © Copyright Pearson Prentice Hall Slide 21 of 43 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. 3.3

22. © Copyright Pearson Prentice Hall SAMPLE PROBLEM Slide 22 of 43 3.7

23. © Copyright Pearson Prentice Hall SAMPLE PROBLEM Slide 23 of 43 3.7

24. © Copyright Pearson Prentice Hall SAMPLE PROBLEM Slide 24 of 43 3.7

25. © Copyright Pearson Prentice Hall SAMPLE PROBLEM Slide 25 of 43 3.7

26. © Copyright Pearson Prentice Hall Slide 26 of 43 Practice Problems for Sample Problem 3.7 Problem Solving 3.33 Solve Problem 33 with the help of an interactive guided tutorial.

27. © Copyright Pearson Prentice Hall Slide 27 of 43 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. 3.3

28. © Copyright Pearson Prentice Hall SAMPLE PROBLEM Slide 28 of 43 3.8

29. © Copyright Pearson Prentice Hall SAMPLE PROBLEM Slide 29 of 43 3.8

30. © Copyright Pearson Prentice Hall SAMPLE PROBLEM Slide 30 of 43 3.8

31. © Copyright Pearson Prentice Hall SAMPLE PROBLEM Slide 31 of 43 3.8

32. © Copyright Pearson Prentice Hall Slide 32 of 43 Practice Problems for Sample Problem 3.8 Problem Solving 3.35 Solve Problem 35 with the help of an interactive guided tutorial.

33. © Copyright Pearson Prentice Hall Slide 33 of 43 Conversion Problems > 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.

34. © Copyright Pearson Prentice Hall SAMPLE PROBLEM Slide 34 of 43 3.9

35. © Copyright Pearson Prentice Hall SAMPLE PROBLEM Slide 35 of 43 3.9

36. © Copyright Pearson Prentice Hall SAMPLE PROBLEM Slide 36 of 43 3.9

37. © Copyright Pearson Prentice Hall SAMPLE PROBLEM Slide 37 of 43 3.9

38. © Copyright Pearson Prentice Hall Slide 38 of 43 Practice Problems for Sample Problem 3.9 Problem-Solving 3.37 Solve Problem 37 with the help of an interactive guided tutorial.

39. © Copyright Pearson Prentice Hall Slide 39 of 43 Section Quiz -or- Continue to: Launch: Assess students’ understanding of the concepts in Section Slide 39 of 43 Section Assessment 3.3

40. © Copyright Pearson Prentice Hall Slide 40 of 43 1. 1 Mg = 1000 kg. Which of the following would be a correct conversion factor for this relationship? a.  1000. b.  1/1000. c.÷ 1000. d.1000 kg/1Mg. 3.3 Section Quiz

41. © Copyright Pearson Prentice Hall Slide 41 of 43 3.3 Section Quiz 2. The conversion factor used to convert joules to calories changes a.the quantity of energy measured but not the numerical value of the measurement. b.neither the numerical value of the measurement nor the quantity of energy measured. c.the numerical value of the measurement but not the quantity of energy measured. d.both the numerical value of the measurement and the quantity of energy measured.

42. © Copyright Pearson Prentice Hall Slide 42 of 43 3.3 Section Quiz 3. How many  g are in 0.0134 g? a.1.34  10 –4 b.1.34  10 –6 c.1.34  10 6 d.1.34  10 4

43. © Copyright Pearson Prentice Hall Slide 43 of 43 3.3 Section Quiz 4. Express the density 5.6 g/cm 3 in kg/m 3. a.5.6  10 6 kg/m 3 b.5.6  10 3 kg/m 3 c.0.56 kg/m 3 d.0.0056 kg/m 3

44. END OF SHOW