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

SL#14 How to use Conversion Factors (a.k.a. Dimensional Analysis). Problem:. 5,195 g equals how many kilograms?. Step 1. Write down the starting value with its units. 5195 g. Step 2. Make a fraction out of this number by putting it over 1. 5195 g. 1. Step 3.

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

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

  2. Problem: • 5,195 g equals how many kilograms?

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

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

  5. 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 kg = 1000 g

  6. Step 4 • Turn your equivalency into a fraction by putting the number with the unit you are converting to on top. 5195 g 1 Because we are converting from grams to kilograms, “1 kg” goes on top. 1 kg = 1000 g

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

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

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

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

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

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

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

  14. 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 m = 1 km

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

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

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