Dimensional Analysis-”Bridge”

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Presentation transcript:

Dimensional Analysis-”Bridge” The “Factor-Label” Method Uses Conversions Factors (things that are equal) to cancel units. Units, or “labels” are canceled, or “factored” out

Dimensional Analysis Steps: 1. Identify starting & ending units. 2. Line up conversion factors so units cancel. 3. Multiply all top numbers & divide by each bottom number. 4. Check units & answer.

Lining up conversion factors: = 1 1 in = 2.54 cm 2.54 cm 2.54 cm 1 = 1 in = 2.54 cm 1 in 1 in

What is a conversion factor? Any fraction (ratio) in which the numerator is equal to the denominator. 12 inches = 1 foot OR 12 inches:1 foot OR 12 inches 1 foot

Creating a “Bridge” 5feet inches A bridge will take us from unit to the next… Ex: How many inches are in 5 feet? 1. What is our beginning unit? 2. What is our ending unit? 3. What do we need to convert? 5feet inches

Lets try a practice problem…. There are an average of 124 zombies per square mile. If the Walking Dead group has traveled a total of 7 square miles, how many zombies have they encountered? What if Rick kills 40 zombies per square mile, how many did he kill?

Now a real measurement Mrs. Wooley walks 2.8 miles per day. How many centimeters does she walk per day? How many centimeters does she walk in a month? A person drinks eight glasses of water a day. Each glass contains 300 mL. How many mL of water will a person drink in 1 year?