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Dimensional Analysis

Dimensional Analysis. The objective is to convert one unit to another unit. Three steps to get started: 1. Determine the starting unit. 2. Determine the end unit. 3. Determine the conversion factor(s) required. Conversion Factor.

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Dimensional Analysis

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  1. Dimensional Analysis

  2. The objective is to convert one unit to another unit

  3. Three steps to get started: 1. Determine the starting unit. 2. Determine the end unit. 3. Determine the conversion factor(s) required.

  4. Conversion Factor • The conversion factor is always equal to one. • A conversion factor can be written either way depending what needs to be converted. • Examples • - 100 pennies = 1 dollar 100 pennies or 1 dollar 1 dollar 100 pennies • - 1000 grams = 1 kilogram 1000 grams or 1 kilogram 1 kilogram 1000 grams

  5. Remember…. 1. Write the given or known (home base) in the first block over 1 2. Use the appropriate conversion factor(s) to make the unit change needed. Make sure you alternate so that matching units can cancel out 1 mile 1 5280 ft. 1 mile

  6. 3. Do the math by multiplying across the • top then across the bottom. • 4. Keep up with the remaining unit. • 5. Simplify to a decimal. • 3. Circle the answer.

  7. Convert 23 miles to feet 23 miles 1 5280 ft. 1 mile 23 x 5280 ft = 121440 feet = Convert 36000 feet to miles 1 mile 5280 ft. 36000 ft. 1 36000 x 1 = 6.82 miles = 5280

  8. Convert 3 gallons to liters 3.79 l 1 gal 11.37 l 1 3 gal 1 = = 11.37 l Convert 1.7 kilograms to grams 1.7 kg 1 1000 g 1 kg 1.7 x 1000 g = 1700 g =

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