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Published byRussell Hensley Modified over 9 years ago
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Take out a half sheet. How many Liters are in 1 kiloLiter? How many centiMeters are in 1 Meter? How many deciLiters are in 1 L?
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Exchange Lab papers with your neighbor Did they Label, Show Explain? Is their math correct? Do you understnd their explanation?
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If there are 6 pickles on Every Cheeseburger how many pickles are there on 4.0 million cheese burgers? What relationships do we know from this Problem?
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Relationships are used to solve problems such as these Ex: 6pickles/1 burger this can also be written as 1 burger/6 pickles 4 million cheeseburgers 6 pickeles 1 Cheeseburger –Set up the problem with what you have –End the problem what you want –Cancel items when they are in both the numerator and denominator –Multiply when numbers are in the numerator and divide when they are in the denominator.
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Goody bags are being created for the Eastlake football team. There are 60 bags that need to be made. If each goody bag will have 3 candy bars are and candy bars cost.$50 a piece,How much will the cheerleaders spend? 60 bags 3 candy bars.50$ 1 bag1 candybar What relationships do I know? What do I start with what do I want to end with? Try to set up the problem so units on the top and bottom cancel
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relationships with measurements are called Conversion Factors Fractions in which the numerator and denominator are EQUAL quantities expressed in different units Example: 1 in. = 2.54 cm Factors: 1 in. and 2.54 cm 2.54 cm 1 in.
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How many minutes are in 2.5 hours ? Conversion factor 2.5 hr x 60 min = 150 min 1 hr 1 hr cancel We start with hours, use the conversion factor relating hours/min, multiply numbers on top, divide numbers on the bottom and check for sig figs.
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Learning Check Write conversion factors that relate each of the following pairs of units: 1. Liters and mL 2. Hours and minutes 3. Meters and kilometers
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Learning Check A rattlesnake is 2.44 m long. How long is the snake in cm? Set up problem then answer. a) 2440 cm b)244 cm c)24.4 cm
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Learning Check How many seconds are in 1.4 days?
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Problems Dealing with Two Units If your pace on a treadmill is 65 meters per minute, how many seconds will it take for you to walk a distance of 8450 feet?
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What about Square and Cubic units? Use the conversion factors you already know, but when you square or cube the unit, don’t forget to cube the number also!Use the conversion factors you already know, but when you square or cube the unit, don’t forget to cube the number also! Best way: Square or cube the ENITRE conversion factorBest way: Square or cube the ENITRE conversion factor Example: Convert 4.3 cm 3 to mm 3Example: Convert 4.3 cm 3 to mm 3 4.3 cm 3 10 mm 3 1 cm 1 cm ( ) = 4.3 cm 3 10 3 mm 3 1 3 cm 3 1 3 cm 3 = 4300 mm 3
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Learning Check A Nalgene water bottle holds 1000 cm 3 of dihydrogen monoxide (DHMO). How many cubic decimeters is that?A Nalgene water bottle holds 1000 cm 3 of dihydrogen monoxide (DHMO). How many cubic decimeters is that?
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Solution 1000 cm 3 1 dm 3 10 cm 10 cm ( ) = 1 dm 3 So, a dm 3 is the same as a Liter ! A cm 3 is the same as a milliliter.
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