Dimensional Analysis. The objective is to convert one unit to another unit.

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Presentation transcript:

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

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 ft. 1 mile

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.

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

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