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Foreign Mass and Temperature Conversions Math 10-3 Chapter 3 Measurement
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When you travel to other countries, the measurement systems they use there may be different from what we use in Canada. For example, what is a gallon? A bushel? A ton? A Fahrenheit?
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Measuring Mass in the USA/UK…. A “bushel” is typically used to describe the mass of grains. A bushel is equal to approximately 60 lbs. Give an example of something with a mass of 60 lbs.. -Small Child- Large Dog
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Measuring Mass in the USA/UK…. A “ton” is typically used to describe the mass of large objects. One ton is equal to about 2000 lbs! A Volkswagen weighs about 1 ton, where a truck weighs about 4.5 tons (or 9000 lbs!).
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What about a half-ton truck? What do you think this means? The truck does not weigh ½ ton, this describe the trucks pay-load capacity or how much the truck can carry. How many pounds can a half-ton truck carry? ~1000 lbs!
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Gas Prices In the US, their gas prices are per gallon. Here in Canada, gas prices are expressed per litre. An American Gallon is equal to about 4.56 Litres; 1 Canadian litre is about ¼ a gallon (or 0.22 L = 1 gallon). We can use the estimation of ¼ to easily determine the price of gas while visiting the USA.
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Ex1. You are driving through California and need to fill up. The gas price is $3.10 per gallon – you think this is ridiculous! In Alberta it is only $0.90 per litre. How much is the gasoline in California per litre? We know that 1 L = ~1/4 a gallon. We can multiply the price per gallon by ¼ to get the correct answer. Multiply the price per gallon by the fraction ¼ $3.10 x = = $3.10 4 =~$0.775/L Looks like it is a better deal to fill up in California than Alberta!
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Ex2. Your friend is visiting from Boston. They notice the price of gas in Edmonton is $0.90/L and they exclaim “Wow! That is WAY cheaper than the $2.50/gallon that I pay!” Are they correct? We know that 1L = ~1/4 gallon. We have to change the price from $/L to $/gallon Divide the price by ¼ *remember to divide by a fraction, you reciprocate (“flip”) the fraction and multiply! $0.90 $0.90 x = $0.90 x4 1 = $3.60/gallon
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Temperature Sometimes when you are travelling, you may come across the temperature scale called Fahrenheit. In Canada we use the Celsius scale. We know that a hot day is above 30 0 C, a cool fall day is about 10 0 C, Water boils at 100 0 C, Water freezes at 0 0 C and a very cold day is -30 0 C.
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Converting Temperature… To convert FROM Celsius TO Fahrenheit…. F = To convert FROM Fahrenheit TO Celsius… C =
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Ex1. The average body temperature of a person is 37 0 C. What is this in Fahrenheit? HAVE Celsius WANT Fahrenheit How do we do this on our calculator? 9 x 37 5 + 32 will give us the correct answer = ~98.8 F
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Ex2. Your friend from Colorado says that 10 F is freezing cold! What temperature is 10 F in Celsius? HAVE Fahrenheit WANT Celsius How do we do this on our calculator? ** First subtract 32 from 10 10 – 32 = -22 Then multiply and divide -22 x 5 9 = ~-12.2 0 C
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