Dimensional Analysis

A method to convert from one unit of measure to another, using conversion factors. Example Problem: How many centimeters are in 4.6 kilometers? Add anything in BLUE writing on the back of the foldable flap Dimensional Analysis

STEP 1 Write down what you know, with units! What I know: 4.6km What I am looking for: cm FRONT of Flap: Write down what you know, with units. STEP 1 BACK of Flap: What I know: 4.6 km What I am looking for: cm STEP 1

Set up a T-chart 4.6km STEP 2

Fill in the units first, making sure that the given units cancel out. 4.6km m km STEP 3

STEP 4 100 cm 1 m = Add your key conversion factor into your T- chart. Multiply across the top, divide by the bottom **If necessary, continue steps 3 and 4 until you reach your desired answer. 4.6km 1000 m 1 km 100 cm 1 m (4.6*1000*100) (1*1) = = 460,000cm But I’m looking for centimeters! STEP 4

Key Conversion Factors 1cm = 10mm 1m = 100cm 1m = 1000mm 1 km = 1000m *The base units (meters) can be changed to other units (grams, liters, etc). Key Conversion Factors

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