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Chapter 8 Factor – Label Method Parts 1 & 2. 24 in. = ___ ft.

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Presentation on theme: "Chapter 8 Factor – Label Method Parts 1 & 2. 24 in. = ___ ft."— Presentation transcript:

1 Chapter 8 Factor – Label Method Parts 1 & 2

2 24 in. = ___ ft.

3 You have just used a conversion factor.

4 Conversion Factors An equality is a ratio is a conversion factor. A relationship between two units expressed in fractional form

5 Conversion Factors A conversion factor is a ratio: 12 inches or 1 foot 1 foot 12 inches

6 Factor Label Method Method of converting from one unit to another using conversion factors

7 24 in. = ___ ft. We can solve this problem using factor label method.

8 PrefixSymbolValuePowerUse GigaG 1,000,000,000 10 9 Gigabyte MegaM1,000,00010 6 Megawatt kilok1,000 10 3 kilometer decid0.110 -1 decigram centic0.01 10 -2 centimeter millim0.001 10 -3 milliliter micro  0.00000110 -6 microsecond nanon0.00000000110 -9 nanometer Prefixes in the Metric System

9 An Example of a Metric Conversion Factor 1000 m = 1 kmThis can be written as the factors...

10 An Example Problem … Convert 10.83 cm to meters using the Factor Label Method.

11 Convert 10.83 cm to meters 10.83cm

12 Convert 10.83 cm to meters 10.83cm cm

13 Convert 10.83 cm to meters 10.83cm cm m

14 Convert 10.83 cm to meters 10.83cm cm m0.01

15 Convert 10.83 cm to meters 10.83cm cm m0.01 = 0.1083 m

16 Convert 152dg to mg

17

18 152dg

19 Convert 152dg to mg 152dg dg

20 Convert 152dg to mg 152dg dg g

21 Convert 152dg to mg 152dg dg 0.1g

22 Convert 152dg to mg 152dg dg 0.1g

23 Convert 152dg to mg 152dg dg 0.1g g

24 Convert 152dg to mg 152dg dg 0.1g g mg

25 Convert 152dg to mg 152dg dg 0.1g g mg 0.001

26 Convert 152dg to mg 152dg dg 0.1g g mg 0.001 = 15,200mg

27 Convert 6896s to weeks 6896s

28 Convert 6896s to weeks 6896s 60s min

29 Convert 6896s to weeks 6896s 60s min 60min hr

30 Convert 6896s to weeks 6896s 60s min 60min hr 24hr day

31 Convert 6896s to weeks 6896s 60s min 60min hr 24hr day 7 days week

32 Convert 6896s to weeks 6896s 60s min 60min hr 24hr day 7 days week = 0.01140 weeks

33 Convert 152 mL to dL

34 1.52 dL

35 Convert 1.38kg to cg

36 138,000 cg

37 Convert 0.56 cm to  m

38 5600  m

39 Convert 150.0 mg/hr to cg/year

40 150.0mg hr

41 Convert 150.0 mg/hr to cg/year 150.0mg hr 0.001g mg

42 Convert 150.0 mg/hr to cg/year 150.0mg hr 0.001g mg0.01g cg

43 Convert 150.0 mg/hr to cg/year 150.0mg hr 0.001g mg0.01g cg24 hr day

44 Convert 150.0 mg/hr to cg/year 150.0mg hr 0.001g mg0.01g cg24 hr day 365 days year = 131,400 cg/year

45 The maximum dosage of a medication is 50,000 μg/day. An IV drip can be set in mg/hr. What should the IV drip be set at?

46 2 mg/hr

47 A geologist measures an advancing glacier at a rate of 2.50 mm/hr. What is this rate in km/year?

48 0.0219 km/year

49 A town is 4.30 km away. How many years does it take the glacier to reach the town.

50 196 years

51 How many minutes does it take light to reach us from the sun which is 93,000,000 miles distant.

52 The following information will be useful: –speed of light = 3.0 x 10 8 m/s –1km = 0.6214 mi

53 How many minutes does it take light to reach us from the sun which is 93,000,000 miles distant. 93,000,000 mi The following information will be useful: speed of light = 3.0 x 10 8 m/s 1km = 0.6214 mi

54 How many minutes does it take light to reach us from the sun which is 93,000,000 miles distant. 93,000,000 mi 0.6214 mi km 1000 m 3.0 x 10 8 m s 60 s min = 8.3 min

55 The next question is OPTIONAL. Only do it if time allows.

56 You and two friends decide to go to Mexico City from El Paso, TX. You volunteer your car (which gets 31 miles/gallon) if everyone chips in for gas. Someone asks how much the gas will cost per person on a round trip. You tell your friends that you just learned about dimensional analysis and so you should be able to determine this by looking up some equalities. You then look up the following info. Mexico City is 2015 km from El Paso. 1 km = 0.6214 miles. Gas costs on the average of 12.32 pesos per liter in Mexico. There are 3.785 liters in a gallon. 13.02 pesos = $1.00 at the current exchange rate. ≈ $96/person

57 You and two friends decide to go to Mexico City from El Paso, TX. You volunteer your car (which gets 31.5 miles/gallon). How much is the gas for the trip going to cost (in dollars) for each person. Mexico City is 2015 km from El Paso. 1 km = 0.6214 miles. Gas costs on the average of 12.32 pesos per liter in Mexico. There are 3.785 liters in a gallon. 13.02 pesos = $1.00 at the current exchange rate.

58 Homework Factor Label Problems(10 questions)


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