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Published byJonatan Suffern Modified over 2 years ago

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SL#14 How to use Conversion Factors (a.k.a. Dimensional Analysis)

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Problem: 5,195 g equals how many kilograms?

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Step 1 Write down the starting value with its units. 5195 g

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Step 2 Make a fraction out of this number by putting it over 1. 5195 g 1

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Step 3 Find an equivalency that has both the unit you are starting with and the unit you want to convert to. 5195 g 1 =1 kg1000 g

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Step 4 Turn your equivalency into a fraction by putting the number with the unit you are converting to on top. 5195 g 1 =1 kg1000 g Because we are converting from grams to kilograms, “1 kg” goes on top.

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Step 5 Multiply the two fractions, making sure to cancel like units. 5195 g 1 1 kg 1000 g X = 5195 kg 1000

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Step 6 Complete the mathematical operation and then circle your answer. = 5.195 kg 5195 g 1 1 kg 1000 g X = 5195 kg 1000

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You have just calculated that 5,195 g equals 5.195 kg! Way to go!

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Another Example… 2.4 kilometers equals how many meters? Note: 1 km = 1000 m

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Step 1 Write down the starting value with its units. 2.4 km

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Step 2 Make a fraction out of this number by putting it over 1. 2.4 km 1

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Step 3 Find an equivalency that has your starting unit and your finishing unit. 2.4 km 1 =1000 m1 km

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Step 4 Turn your equivalency into a fraction by putting the number with the unit you are converting to on top. 2.4 km 1 =1000 m1 km

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Step 5 Multiply the two fractions, making sure to cancel like units. 2.4 km 1 1000 m 1 km X = 2400 m 1

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Step 6 Complete the mathematical operation and then circle your answer. = 2400 m 2.4 km 1 1000 m 1 km X = 2400 m 1

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