1. Matter, Measurement, and Problem Solving Dimensional Analysis

2. Has several names ◦ Unit Conversions ◦ Unit factor ◦ Factor label ◦ Conversion factor method Using units to guide through problem solving Use to convert between measurement systems (English to metric) or within same system (Kg  g  cg)

3. Basic Steps of Dimensional Analysis 1. Identify what’s given 1.Property, system of units, units 2. Identify what’s asked for 1.Property system, units 1.Height in inches to meters? 2.Weight in grams to pounds? 3. Plan path 1.Given to asked for 2.Use given and known conversion factors 3.Units should cancel to get to next unit in path

4. Dimensional Analysis Practice 17 in to cm 2.54 cm=1in

5. Dimensional Analysis Practice 0.85 qt to mL 1 qt= 946.353 mL

6. Dimensional Analysis Practice The distance from a Port Huron to the Indiana State line is approximately 271 miles (via I-94). Express this distance in kilometers. 1 mile= 1.60934 km

7. Dimensional Analysis Practice A baby born in the US weighs 3.295 kg according to the scale in the birthing room. Convert this to pounds and ounces so you can tell the grandparents how much the baby weighed. 1 g= 0.035274 ozs 1 oz = 0.0625 pounds

8. Dimensional Analysis Practice The moon is 384,403 km from the earth. Estimate how many quarters laid end to end it would take to reach the moon if a quarter has a diameter of 2.3 cm.

9. Dimensional Analysis Practice A clerk can sort 375 sheets per hour. If there are 225 sheets in an inch, how long will it take her to file 125 inches of loose sheets.