Name: Unit Analysis

Metric Conversions Conversion using meter as the base (will be the same with gram or liter as the base) megameter (Mm) 1,000,000 meters = 1 Mm kilometer (km) 1,000 meters = 1km hectometer (hm) 100 meters = 1hm decameter (dam) 10 meters = 1 dam meter 1m = 1m decimeter (dm) 1m = 10 dm centimeter (cm) 1 m = 100 cm millimeter (mm) 1m = 1,000 mm micrometer (μm) 1m = 1,000,000 μm nanometer (nm) 1m = 1,000,000,000nm

Conversions as Fractions 1. Saying 1 m =100 cm is the same as saying 1 m per 100 cm or 2. 1 km = 1,000 m or 1000 m = 1km 3. As a fraction:

Example 1 To convert one unit to another simply write the unit you want to change and multiply it by the conversion factor written with the units you want on the top. Convert 13mm to meters Notice that the units you started with cancel with the units in the denominator of the conversion factor.

Example 2 Convert 2.5 kg to centigrams. Convert to grams first. Then convert to centigrams: Or, put it all together:

Conversions within the English Systems Example 1: If you live 13.5 miles from the high school, how many inches away from the high school do you live? We do not have a conversion factor to go from miles to inches so we need to solve the problem in more than one step

3 Steps

Combining Steps You must show units!!!! Align the conversions so that all the units cancel out except the desired ones. Stay organized and show all your work!!!!

Conversions between metric and English units: Example 1: How many pounds does 3.44 kilograms weigh on Earth? This is a one step problem to convert kilograms to pounds.

Example 2: How many ounces does 590 grams weigh? Convert grams to kilograms, kilograms to pounds, and finally pounds to ounces.

Fraction Conversions You can convert units in both the numerator and denominator Example: Convert 25.8 mi/hr to m/s

Power Conversions You must be using the same type of units. (volume, area) Example: Convert 25.6m3 to in3 * You can also write it out the long way