Chapter 8 Factor – Label Method Parts 1 & 2
24 in. = ___ ft.
You have just used a conversion factor.
Conversion Factors An equality is a ratio is a conversion factor. A relationship between two units expressed in fractional form
Conversion Factors A conversion factor is a ratio: 12 inches or 1 foot 1 foot 12 inches
Factor Label Method Method of converting from one unit to another using conversion factors
24 in. = ___ ft. We can solve this problem using factor label method.
PrefixSymbolValuePowerUse GigaG 1,000,000, Gigabyte MegaM1,000, Megawatt kilok1, kilometer decid decigram centic centimeter millim milliliter micro microsecond nanon nanometer Prefixes in the Metric System
An Example of a Metric Conversion Factor 1000 m = 1 kmThis can be written as the factors...
An Example Problem … Convert cm to meters using the Factor Label Method.
Convert cm to meters 10.83cm
Convert cm to meters 10.83cm cm
Convert cm to meters 10.83cm cm m
Convert cm to meters 10.83cm cm m0.01
Convert cm to meters 10.83cm cm m0.01 = m
Convert 152dg to mg
152dg
Convert 152dg to mg 152dg dg
Convert 152dg to mg 152dg dg g
Convert 152dg to mg 152dg dg 0.1g
Convert 152dg to mg 152dg dg 0.1g
Convert 152dg to mg 152dg dg 0.1g g
Convert 152dg to mg 152dg dg 0.1g g mg
Convert 152dg to mg 152dg dg 0.1g g mg 0.001
Convert 152dg to mg 152dg dg 0.1g g mg = 15,200mg
Convert 6896s to weeks 6896s
Convert 6896s to weeks 6896s 60s min
Convert 6896s to weeks 6896s 60s min 60min hr
Convert 6896s to weeks 6896s 60s min 60min hr 24hr day
Convert 6896s to weeks 6896s 60s min 60min hr 24hr day 7 days week
Convert 6896s to weeks 6896s 60s min 60min hr 24hr day 7 days week = weeks
Convert 152 mL to dL
1.52 dL
Convert 1.38kg to cg
138,000 cg
Convert 0.56 cm to m
5600 m
Convert mg/hr to cg/year
150.0mg hr
Convert mg/hr to cg/year 150.0mg hr 0.001g mg
Convert mg/hr to cg/year 150.0mg hr 0.001g mg0.01g cg
Convert mg/hr to cg/year 150.0mg hr 0.001g mg0.01g cg24 hr day
Convert mg/hr to cg/year 150.0mg hr 0.001g mg0.01g cg24 hr day 365 days year = 131,400 cg/year
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?
2 mg/hr
A geologist measures an advancing glacier at a rate of 2.50 mm/hr. What is this rate in km/year?
km/year
A town is 4.30 km away. How many years does it take the glacier to reach the town.
196 years
How many minutes does it take light to reach us from the sun which is 93,000,000 miles distant.
The following information will be useful: –speed of light = 3.0 x 10 8 m/s –1km = mi
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 = mi
How many minutes does it take light to reach us from the sun which is 93,000,000 miles distant. 93,000,000 mi mi km 1000 m 3.0 x 10 8 m s 60 s min = 8.3 min
The next question is OPTIONAL. Only do it if time allows.
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 = miles. Gas costs on the average of pesos per liter in Mexico. There are liters in a gallon pesos = $1.00 at the current exchange rate. ≈ $96/person
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 = miles. Gas costs on the average of pesos per liter in Mexico. There are liters in a gallon pesos = $1.00 at the current exchange rate.
Homework Factor Label Problems(10 questions)