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Units Dimensional Analysis The method is in the units Let the units do the walking.

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Presentation on theme: "Units Dimensional Analysis The method is in the units Let the units do the walking."— Presentation transcript:

1 units Dimensional Analysis The method is in the units Let the units do the walking

2 Dimensional Analysis Given information TranslatorGoal The Basic idea of conversion factors is to convert the units that are given in a problem, to units that is being sought.

3 Liras to Dollars Given information TranslatorGoal How much is 35,000 Lira in US dollars?

4 Liras to Dollars 35,000 Lira $ 1.00 1,40 0 Lira = $ 25.00 Given information TranslatorGoal Preview of solution:

5 Liras to Dollars Given information TranslatorGoal 35,000 Lira x Start with the given information: How much is 35,000 Lira in US dollars?

6 Liras to Dollars 35,000 Lira $ 1.00 1,40 0 Lira x Given information TranslatorGoal Find the Lira conversion How much is 35,000 Lira in US dollars?

7 Liras to Dollars 35,000 Lira $ 1.00 1,40 0 Lira x Given information TranslatorGoal Use 1400 Lira = $ 1.00 How much is 35,000 Lira in US dollars?

8 Liras to Dollars 35,000 Lira $ 1.00 1,40 0 Lira = 25.00 x Given information TranslatorGoal Your answer will be in $ How much is 35,000 Lira in US dollars?

9 Liras to Dollars 35,000 Lira $ 1.00 1,40 0 Lira = $ 25.00 x Given information TranslatorGoal How much is 35,000 Lira in US dollars?

10 Liras to Dollars 35,000 Lira $ 1.00 1,40 0 Lira = $ 25.00 x Given information TranslatorGoal How much is 35,000 Lira in US dollars?

11 Liras to Dollars 35,000 Lira $ 1.00 1,40 0 Lira = $ 25.00 x Given information TranslatorGoal Plug in the conversion factor- How much is 35,000 Lira in US dollars?

12 Liras to Dollars 35,000 Lira $ 1.00 1,40 0 Lira = $ 25.00 x Given information TranslatorGoal Lira units cancel in the calculations How much is 35,000 Lira in US dollars?

13 Liras to Dollars 35,000 Lira $ 1.00 1,40 0 Lira = $ 25.00 x Given information TranslatorGoal All units cancel except $ How much is 35,000 Lira in US dollars?

14 Liras to Dollars 35,000 Lira $ 1.00 1,40 0 Lira = $ 25.00 x Given information TranslatorGoal The final answer How much is 35,000 Lira in US dollars?

15 Liras to Dollars 35,000 Lira $ 1.00 1,40 0 Lira = $ 25.00 x Given information TranslatorGoal How much is 35,000 Lira in US dollars?

16 Age to Minutes Given information TranslatorGoal 23 yrs 365 days 1 yr = min 24 hr 1 day 60 min 1 hr x x x How old are you in minutes ?

17 Age to Minutes 23 yrs Given information TranslatorGoal How old are you in minutes ?

18 Age to Minutes 23 yrs 365 days 1 yr x Given information TranslatorGoal How old are you in minutes ?

19 Age to Minutes 23 yrs 365 days 1 yr x Given information TranslatorGoal How old are you in minutes ?

20 Age to Minutes 23 yrs 365 days 1 yr x 24 hr 1 day x Given information TranslatorGoal How old are you in minutes ?

21 Age to Minutes 23 yrs 365 days 1 yr x 24 hr 1 day x Given information TranslatorGoal How old are you in minutes ?

22 Age to Minutes 23 yrs 365 days 1 yr x 24 hr 1 day x 60 min 1 hr x Given information TranslatorGoal How old are you in minutes ?

23 Age to Minutes 23 yrs 365 days 1 yr x 24 hr 1 day x 60 min 1 hr x Given information TranslatorGoal How old are you in minutes ?

24 = 1.2 x 10 7 Age to Minutes 23 yrs 365 days 1 yr x 24 hr 1 day x 60 min 1 hr x Given information TranslatorGoal How old are you in minutes ?

25 = 1.2 x 10 7 min Age to Minutes 23 yrs 365 days 1 yr x 24 hr 1 day x 60 min 1 hr x Given information TranslatorGoal How old are you in minutes ?

26 Age to Minutes 23 yrs 365 days 1 yr x 24 hr 1 day x 60 min 1 hr x = 1.2 x 10 7 min Given information TranslatorGoal How old are you in minutes ?

27 Age to Minutes 23 yrs 365 days 1 yr x 24 hr 1 day x 60 min 1 hr x = 1.2 x 10 7 min Given information TranslatorGoal How old are you in minutes ?

28 Age to Minutes 23 yrs 365 days 1 yr x 24 hr 1 day x 60 min 1 hr x = 1.2 x 10 7 min Given information TranslatorGoal How old are you in minutes ?

29 Age to Minutes 23 yrs 365 days 1 yr x 24 hr 1 day x 60 min 1 hr x = 1.2 x 10 7 min Given information TranslatorGoal How old are you in minutes ?

30 Age to Minutes 23 yrs 365 days 1 yr x 24 hr 1 day x 60 min 1 hr x Given information TranslatorGoal How old are you in minutes ? = 12088800 min

31 Age to Minutes 23 yrs 365 days 1 yr x 24 hr 1 day x 60 min 1 hr x = 1.2 x 10 7 min Given information TranslatorGoal How old are you in minutes ?

32 Grams Gold to Lira Given information TranslatorGoal Suppose the exchange rate for the yen is 138 Yen / $1.00. If gold at the Tokyo exchange is 48,234 Yen an ounce, how much will 5.0 gram cost in Lira. Conversion factors: 453.9 g = 1.00 lb, 16.0 oz = 1.00lb, 138 Yen = $1.00 48,234 Yen = 1oz gold, 35,000 Lira = $1.00

33 Grams Gold to Lira 5.0 g Au g = xxx x x Given information TranslatorGoal Suppose the exchange rate for the yen is 138 Yen per $1.00. If gold at the Tokyo exchange is 48,234 Yen an ounce, how much will 5.0 gram cost in Lira ? Conversion factors: 453.9 g = 1.00 lb, 16.0 oz = 1.00lb, 138 Yen = $1.00 48,234 Yen = 1oz gold, 1,400 Lira = $1.00

34 Grams Gold to Lira 5.0 g Au lb g = lb xxx x x Given information TranslatorGoal Suppose the exchange rate for the yen is 138 Yen per $1.00. If gold at the Tokyo exchange is 48,234 Yen an ounce, how much will 5.0 gram cost in Lira ? Conversion factors: 453.9 g = 1.00 lb, 16.0 oz = 1.00lb, 138 Yen = $1.00 48,234 Yen = 1oz gold, 1,400 Lira = $1.00

35 Grams Gold to Lira 5.0 g Au lb g oz. lb oz xxx x x Given information TranslatorGoal Suppose the exchange rate for the yen is 138 Yen per $1.00. If gold at the Tokyo exchange is 48,234 Yen an ounce, how much will 5.0 gram cost in Lira ? Conversion factors: 453.9 g = 1.00 lb, 16.0 oz = 1.00lb, 138 Yen = $1.00 48,234 Yen = 1oz gold, 1,400 Lira = $1.00 =

36 Grams Gold to Lira 5.0 g Au lb g oz. lb Yen oz x Yen xx x x Given information TranslatorGoal Suppose the exchange rate for the yen is 138 Yen per $1.00. If gold at the Tokyo exchange is 48,234 Yen an ounce, how much will 5.0 gram cost in Lira ? Conversion factors: 453.9 g = 1.00 lb, 16.0 oz = 1.00lb, 138 Yen = $1.00 48,234 Yen = 1oz gold, 1,400 Lira = $1.00 =

37 Grams Gold to Lira 5.0 g Au lb g oz. lb Yen oz x $ Yen $ xx x x Given information TranslatorGoal Suppose the exchange rate for the yen is 138 Yen per $1.00. If gold at the Tokyo exchange is 48,234 Yen an ounce, how much will 5.0 gram cost in Lira ? Conversion factors: 453.9 g = 1.00 lb, 16.0 oz = 1.00lb, 138 Yen = $1.00 48,234 Yen = 1oz gold, 1,400 Lira = $1.00 =

38 Grams Gold to Lira 5.0 g Au lb g oz. lb Yen oz x $ Yen Lira $ xx x x Given information TranslatorGoal Suppose the exchange rate for the yen is 138 Yen per $1.00. If gold at the Tokyo exchange is 48,234 Yen an ounce, how much will 5.0 gram cost in Lira ? Conversion factors: 453.9 g = 1.00 lb, 16.0 oz = 1.00lb, 138 Yen = $1.00 48,234 Yen = 1oz gold, 1,400 Lira = $1.00

39 Grams Gold to Lira 5.0 g Au lb g = Lira oz. lb Yen oz x $ Yen Lira $ xx x x Given information TranslatorGoal Suppose the exchange rate for the yen is 138 Yen per $1.00. If gold at the Tokyo exchange is 48,234 Yen an ounce, how much will 5.0 gram cost in Lira ? Conversion factors: 453.9 g = 1.00 lb, 16.0 oz = 1.00lb, 138 Yen = $1.00 48,234 Yen = 1oz gold, 1,400 Lira = $1.00

40 Grams Gold to Lira 5.0 g Au 1.0 lb 453.6 g oz. lb Yen oz x $ Yen Lira $ xx x x Given information TranslatorGoal Suppose the exchange rate for the yen is 138 Yen per $1.00. If gold at the Tokyo exchange is 48,234 Yen an ounce, how much will 5.0 gram cost in Lira ? Conversion factors: 453.9 g = 1.00 lb, 16.0 oz = 1.00lb, 138 Yen = $1.00 48,234 Yen = 1oz gold, 1,400 Lira = $1.00 = Lira

41 Grams Gold to Lira 5.0 g Au 1.0 lb 453.6 g 16.0 oz. 1.0 lb Yen oz x $ Yen Lira $ xx x x Given information TranslatorGoal Suppose the exchange rate for the yen is 138 Yen per $1.00. If gold at the Tokyo exchange is 48,234 Yen an ounce, how much will 5.0 gram cost in Lira ? Conversion factors: 453.9 g = 1.00 lb, 16.0 oz = 1.00lb, 138 Yen = $1.00 48,234 Yen = 1oz gold, 1,400 Lira = $1.00 = Lira

42 Grams Gold to Lira 5.0 g Au 1.0 lb 453.6 g 16.0 oz. 1.0 lb 48,234 Yen 1.0 oz x $ Yen Lira $ xx x x Given information TranslatorGoal Suppose the exchange rate for the yen is 138 Yen per $1.00. If gold at the Tokyo exchange is 48,234 Yen an ounce, how much will 5.0 gram cost in Lira ? Conversion factors: 453.9 g = 1.00 lb, 16.0 oz = 1.00lb, 138 Yen = $1.00 48,234 Yen = 1oz gold, 1,400 Lira = $1.00 = Lira

43 Grams Gold to Lira 5.0 g Au 1.0 lb 453.6 g 16.0 oz. 1.0 lb 48,234 Yen 1.0 oz x 1.00 $ 138 Yen Lira $ xx x x Given information TranslatorGoal Suppose the exchange rate for the yen is 138 Yen per $1.00. If gold at the Tokyo exchange is 48,234 Yen an ounce, how much will 5.0 gram cost in Lira ? Conversion factors: 453.9 g = 1.00 lb, 16.0 oz = 1.00lb, 138 Yen = $1.00 48,234 Yen = 1oz gold, 1,400 Lira = $1.00 = Lira

44 Grams Gold to Lira 5.0 g Au 1.0 lb 453.6 g 16.0 oz. 1.0 lb 48,234 Yen 1.0 oz x 1.00 $ 138 Yen 1400 Lira 1.00 $ xx x x Given information TranslatorGoal Suppose the exchange rate for the yen is 138 Yen per $1.00. If gold at the Tokyo exchange is 48,234 Yen an ounce, how much will 5.0 gram cost in Lira ? Conversion factors: 453.9 g = 1.00 lb, 16.0 oz = 1.00lb, 138 Yen = $1.00 48,234 Yen = 1oz gold, 1,400 Lira = $1.00 = Lira

45 Grams Gold to Lira 5.0 g Au 1.0 lb 453.6 g 16.0 oz. 1.0 lb 48,234 Yen 1.0 oz x 1.00 $ 138 Yen 1400 Lira 1.00 $ xx x x Given information TranslatorGoal Suppose the exchange rate for the yen is 138 Yen per $1.00. If gold at the Tokyo exchange is 48,234 Yen an ounce, how much will 5.0 gram cost in Lira ? Conversion factors: 453.9 g = 1.00 lb, 16.0 oz = 1.00lb, 138 Yen = $1.00 48,234 Yen = 1oz gold, 1,400 Lira = $1.00 = Lira

46 Grams Gold to Lira 5.0 g Au 1.0 lb 453.6 g 16.0 oz. 1.0 lb 48,234 Yen 1.0 oz x 1.00 $ 138 Yen 1400 Lira 1.00 $ xx x x Given information TranslatorGoal Suppose the exchange rate for the yen is 138 Yen per $1.00. If gold at the Tokyo exchange is 48,234 Yen an ounce, how much will 5.0 gram cost in Lira ? Conversion factors: 453.9 g = 1.00 lb, 16.0 oz = 1.00lb, 138 Yen = $1.00 48,234 Yen = 1oz gold, 1,400 Lira = $1.00 = Lira

47 Grams Gold to Lira 5.0 g Au 1.0 lb 453.6 g = Lira 16.0 oz. 1.0 lb 48,234 Yen 1.0 oz x 1.00 $ 138 Yen 1400 Lira 1.00 $ xx x x Given information TranslatorGoal Suppose the exchange rate for the yen is 138 Yen per $1.00. If gold at the Tokyo exchange is 48,234 Yen an ounce, how much will 5.0 gram cost in Lira ? 86,000 Conversion factors: 453.9 g = 1.00 lb, 16.0 oz = 1.00lb, 138 Yen = $1.00 48,234 Yen = 1oz gold, 1,400 Lira = $1.00

48 Speed mi/hr to m/sec Given information TranslatorGoal A car is traveling 55 mph (miles per hour). How fast is the car moving in meters per seconds ? Note 55mph = 55 mi / hr Conversion factors: 1.0 hr = 60 min, 1.0 min = 60 sec, 1.0 mi = 1.609 km, 1 km = 1000 m mi hr 55

49 Speed mi/hr to m/sec Given information TranslatorGoal 55 mi 1 hr A car is traveling 55 mph (miles per hour). How fast is the car moving in meters per seconds ? Conversion factors: 1.0 hr = 60 min, 1.0 min = 60 sec, 1.0 mi = 1.609 km 1 km = 1000 m

50 Speed mi/hr to m/sec Given information TranslatorGoal 1 hr 60 min x 55 mi 1 hr A car is traveling 55 mph (miles per hour). How fast is the car moving in meters per seconds ? Conversion factors: 1.0 hr = 60 min, 1.0 min = 60 sec, 1.0 mi = 1.609 km 1 km = 1000 m

51 Speed mi/hr to m/sec Given information TranslatorGoal 1 hr 60 min 1 min 60 sec xx 55 mi 1 hr A car is traveling 55 mph (miles per hour). How fast is the car moving in meters per seconds ? Conversion factors: 1.0 hr = 60 min, 1.0 min = 60 sec, 1.0 mi = 1.609 km 1 km = 1000 m

52 Speed mi/hr to m/sec Given information TranslatorGoal 1 hr 60 min 1 min 60 sec xx 55 mi 1 hr A car is traveling 55 mph (miles per hour). How fast is the car moving in meters per seconds ? Conversion factors: 1.0 hr = 60 min, 1.0 min = 60 sec, 1.0 mi = 1.609 km 1 km = 1000 m

53 Speed mi/hr to m/sec Given information TranslatorGoal 1 hr 60 min 1 min 60 sec x x x 55 mi 1 hr A car is traveling 55 mph (miles per hour). How fast is the car moving in meters per seconds ? 1.609 km 1 mi Conversion factors: 1.0 hr = 60 min, 1.0 min = 60 sec, 1.0 mi = 1.609 km 1 km = 1000 m

54 Speed mi/hr to m/sec Given information TranslatorGoal 1 hr 60 min 1 min 60 sec x 1000 m 1 km x x x 55 mi 1 hr A car is traveling 55 mph (miles per hour). How fast is the car moving in meters per seconds ? 1.609 km 1 mi Conversion factors: 1.0 hr = 60 min, 1.0 min = 60 sec, 1.0 mi = 1.609 km 1 km = 1000 m

55 Speed mi/hr to m/sec Given information TranslatorGoal 1 hr 60 min 1 min 60 sec x 1000 m 1 km x x x 55 mi 1 hr A car is traveling 55 mph (miles per hour). How fast is the car moving in meters per seconds ? 1.609 km 1 mi Conversion factors: 1.0 hr = 60 min, 1.0 min = 60 sec, 1.0 mi = 1.609 km 1 km = 1000 m

56 Speed mi/hr to m/sec Given information TranslatorGoal 1 hr 60 min 1 min 60 sec x 1000 m 1 km x x x 55 mi 1 hr = A car is traveling 55 mph (miles per hour). How fast is the car moving in meters per seconds ? 1.609 km 1 mi Conversion factors: 1.0 hr = 60 min, 1.0 min = 60 sec, 1.0 mi = 1.609 km 1 km = 1000 m

57 Speed mi/hr to m/sec Given information TranslatorGoal 1 hr 60 min 1 min 60 sec x 1000 m 1 km x x x 55 mi 1 hr = A car is traveling 55 mph (miles per hour). How fast is the car moving in meters per seconds ? 1.609 km 1 mi Conversion factors: 1.0 hr = 60 min, 1.0 min = 60 sec, 1.0 mi = 1.609 km 1 km = 1000 m m sec

58 Speed mi/hr to m/sec Given information TranslatorGoal 1 hr 60 min 1 min 60 sec x 1000 m 1 km x x x 55 mi 1 hr = A car is traveling 55 mph (miles per hour). How fast is the car moving in meters per seconds ? 1.609 km 1 mi Conversion factors: 1.0 hr = 60 min, 1.0 min = 60 sec, 1.0 mi = 1.609 km 1 km = 1000 m m sec

59 Speed mi/hr to m/sec Given information TranslatorGoal 1 hr 60 min 1 min 60 sec x 1000 m 1 km x x x 55 mi 1 hr = A car is traveling 55 mph (miles per hour). How fast is the car moving in meters per seconds ? 1.609 km 1 mi Conversion factors: 1.0 hr = 60 min, 1.0 min = 60 sec, 1.0 mi = 1.609 km 1 km = 1000 m

60 Speed mi/hr to m/sec Given information TranslatorGoal 1 hr 60 min 1 min 60 sec x 1000 m 1 km x x x 55 mi 1 hr = A car is traveling 55 mph (miles per hour). How fast is the car moving in meters per seconds ? 1.609 km 1 mi Conversion factors: 1.0 hr = 60 min, 1.0 min = 60 sec, 1.0 mi = 1.609 km 1 km = 1000 m

61 Speed mi/hr to m/sec Given information TranslatorGoal 1 hr 60 min 1 min 60 sec x 1000 m 1 km x x x 55 mi 1 hr = A car is traveling 55 mph (miles per hour). How fast is the car moving in meters per seconds ? 1.609 km 1 mi Conversion factors: 1.0 hr = 60 min, 1.0 min = 60 sec, 1.0 mi = 1.609 km 1 km = 1000 m

62 Speed mi/hr to m/sec Given information TranslatorGoal 1 hr 60 min 1 min 60 sec x 1000 m 1 km x x x 55 mi 1 hr = A car is traveling 55 mph (miles per hour). How fast is the car moving in meters per seconds ? 1.609 km 1 mi Conversion factors: 1.0 hr = 60 min, 1.0 min = 60 sec, 1.0 mi = 1.609 km 1 km = 1000 m

63 Speed mi/hr to m/sec Given information TranslatorGoal 1 hr 60 min 1 min 60 sec x 1000 m 1 km x x x 55 mi 1 hr = A car is traveling 55 mph (miles per hour). How fast is the car moving in meters per seconds ? 1.609 km 1 mi Conversion factors: 1.0 hr = 60 min, 1.0 min = 60 sec, 1.0 mi = 1.609 km 1 km = 1000 m

64 Speed mi/hr to m/sec Given information TranslatorGoal 1 hr 60 min m sec 1 min 60 sec x 1000 m 1 km x x x 55 mi 1 hr = A car is traveling 55 mph (miles per hour). How fast is the car moving in meters per seconds ? Conversion factors: 1.0 hr = 60 min, 1.0 min = 60 sec, 1.0 mi = 1.609 km 1 km = 1000 m 1.609 km 1 mi

65 Speed mi/hr to m/sec Given information TranslatorGoal 1 hr 60 min m sec 1 min 60 sec x 1000 m 1 km x x x 55 mi 1 hr = A car is traveling 55 mph (miles per hour). How fast is the car moving in meters per seconds ? Conversion factors: 1.0 hr = 60 min, 1.0 min = 60 sec, 1.0 mi = 1.609 km 1 km = 1000 m 1.609 km 1 mi 917

66 Speed mi/hr to m/sec Given information TranslatorGoal 1 hr 60 min m sec 1 min 60 sec 1.609 km 1 mi x 1000 m 1 km x x x 55 mi 1 hr = A car is traveling 55 mph (miles per hour). How fast is the car moving in meters per seconds ? 917 Conversion factors: 1.0 hr = 60 min, 1.0 min = 60 sec, 1.0 mi = 1.609 km 1 km = 1000 m

67 Speed mi/hr to m/sec Given information TranslatorGoal 1 hr 60 min m sec 1 min 60 sec 1.609 km 1 mi x 1000 m 1 km x x x 55 mi 1 hr = A car is traveling 55 mph (miles per hour) is traveling 917 meters per seconds. 917 Conversion factors: 1.0 hr = 60 min, 1.0 min = 60 sec, 1.0 mi = 1.609 km 1 km = 1000 m

68 Mass of 1 gallon Au Given information TranslatorGoal What is the mass in pounds (lb) of 1.00 gallons of gold ? Conversion factor: 1.0 gallons = 3.785 Liters, 1.0 Liters = 1000 mL, 19.3 grams gold = 1.0 mL, 453.6 grams = 1.0 lb.

69 Mass of 1 gallon Au 1.0 gal Au x xx x Given information TranslatorGoal What is the mass in pounds (lb) of 1.00 gallons of gold ? Conversion factor: 1.0 gallons = 3.785 Liters 1.0 Liters = 1000 mL 19.3 grams gold = 1.0 mL 453.6 grams = 1.0 lb.

70 Mass of 1 gallon Au 1.0 gal Au L gal x xx x Given information TranslatorGoal What is the mass in pounds (lb) of 1.00 gallons of gold ? Conversion factor: 1.0 gallons = 3.785 Liters 1.0 Liters = 1000 mL 19.3 grams gold = 1.0 mL 453.6 grams = 1.0 lb.

71 Mass of 1 gallon Au 1.0 gal Au L gal = lb mL L x xx x Given information TranslatorGoal What is the mass in pounds (lb) of 1.00 gallons of gold ? Conversion factor: 1.0 gallons = 3.785 Liters 1.0 Liters = 1000 mL 19.3 grams gold = 1.0 mL 453.6 grams = 1.0 lb.

72 Mass of 1 gallon Au 1.0 gal Au L gal mL L g mL x xx x Given information TranslatorGoal What is the mass in pounds (lb) of 1.00 gallons of gold ? Conversion factor: 1.0 gallons = 3.785 Liters 1.0 Liters = 1000 mL 19.3 grams gold = 1.0 mL 453.6 grams = 1.0 lb.

73 Mass of 1 gallon Au 1.0 gal Au L gal mL L g mL x lb g xx x Given information TranslatorGoal What is the mass in pounds (lb) of 1.00 gallons of gold ? Conversion factor: 1.0 gallons = 3.785 Liters 1.0 Liters = 1000 mL 19.3 grams gold = 1.0 mL 453.6 grams = 1.0 lb.

74 Mass of 1 gallon Au 1.0 gal Au L gal = lb mL L g mL x lb g xx x Given information TranslatorGoal What is the mass in pounds (lb) of 1.00 gallons of gold ? Conversion factor: 1.0 gallons = 3.785 Liters 1.0 Liters = 1000 mL 19.3 grams gold = 1.0 mL 453.6 grams = 1.0 lb.

75 Mass of 1 gallon Au 1.0 gal Au 3.785 L 1 gal = lb mL L g mL x lb g xx x Given information TranslatorGoal What is the mass in pounds (lb) of 1.00 gallons of gold ? Conversion factor: 1.0 gallons = 3.785 Liters 1.0 Liters = 1000 mL 19.3 grams gold = 1.0 mL 453.6 grams = 1.0 lb.

76 Mass of 1 gallon Au 1.0 gal Au 3.785 L 1 gal = lb 1000 mL 1 L g mL x xx x Given information TranslatorGoal What is the mass in pounds (lb) of 1.00 gallons of gold ? Conversion factor: 1.0 gallons = 3.785 Liters 1.0 Liters = 1000 mL 19.3 grams gold = 1.0 mL 453.6 grams = 1.0 lb. lb g

77 Mass of 1 gallon Au 1.0 gal Au 3.785 L 1 gal = lb 1000 mL 1 L 19.3 g 1 mL x lb g xx x Given information TranslatorGoal What is the mass in pounds (lb) of 1.00 gallons of gold ? Conversion factor: 1.0 gallons = 3.785 Liters 1.0 Liters = 1000 mL 19.3 grams gold = 1.0 mL 453.6 grams = 1.0 lb.

78 Mass of 1 gallon Au 1.0 gal Au 3.785 L 1 gal = lb 1000 mL 1 L 19.3 g 1 mL x 1 lb 453.6 g xx x Given information TranslatorGoal What is the mass in pounds (lb) of 1.00 gallons of gold ? Conversion factor: 1.0 gallons = 3.785 Liters 1.0 Liters = 1000 mL 19.3 grams gold = 1.0 mL 453.6 grams = 1.0 lb.

79 Mass of 1 gallon Au 1.0 gal Au 3.785 L 1 gal = lb 1000 mL 1 L 19.3 g 1 mL x 1 lb 453.6 g xx x Given information TranslatorGoal What is the mass in pounds (lb) of 1.00 gallons of gold ? Conversion factor: 1.0 gallons = 3.785 Liters 1.0 Liters = 1000 mL 19.3 grams gold = 1.0 mL 453.6 grams = 1.0 lb. 161

80 Mass of 1 gallon Au 1.0 gal Au 3.785 L 1 gal = lb 1000 mL 1 L 19.3 g 1 mL x 1 lb 453.6 g xx x Given information TranslatorGoal What is the mass in pounds (lb) of 1.00 gallons of gold ? Conversion factor: 1.0 gallons = 3.785 Liters 1.0 Liters = 1000 mL 19.3 grams gold = 1.0 mL 453.6 grams = 1.0 lb. 160 2 Sig Fig

81 Distance of 1 mol Pennies x Given information TranslatorGoal How far would 1 mole of penny stretch in miles, kilometers and in light years ? Conversion factor: 1.0 mole = 6.02 x 10 23, 1 Penny = 2.0 cm, 100 cm = 1 m, 1000m = 1 km, 1.0 mi = 0.87 km, 186,000 mi = 1.0 sec, 60 sec = 1.0 min, 60 min = 1-hr, 24 hr = 1 day, 365.25 days

82 Distance of 1 mol Pennies 6.02x10 23 Pny 2.0 cm 1 Pny = yr 1 hr 3600 sec 1m 100 cm x km 1000 m mi km 1sec 186,000 mi 1 day 24 hr 1 yr 365.25 Given information TranslatorGoal x x x x x x x You complete the problem….


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