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Dimensional Analysis. Consistent problem solving approach Reinforces unit conversion Simplifies computation Easy to assess and grade. 5 Steps of Dimensional Analysis. Start with what value is known, proceed to the unknown. Draw the dimensional lines (count the “jumps”).
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Dimensional Analysis • Consistent problem solving approach • Reinforces unit conversion • Simplifies computation • Easy to assess and grade
5 Steps of Dimensional Analysis • Start with what value is known, proceed to the unknown. • Draw the dimensional lines (count the “jumps”). • Insert the unit relationships. • Cancel the units. • Do the math, include units in answer.
Write the KNOWN, identify the UNKNOWN. • EX. How many quarts is 9.3 cups? 9.3 cups = ? quarts Draw the dimensional “jumps”. 9.3 cups x 4 cups = 1 quart
Do the Math 1 quart 9.3 cups x 4 cups 2.325 s
Show ALL Work • No shortcuts • Use proper abbreviations
Given the following information:1 quark = 2.9 whos 1 whos = 5 mabees 1 bug = 3.7 quarks 1 kuz = 3.2 mabees • 3 Quarks = How many bugs
Given the following information:1 quark = 2.9 who’s 1 who’s = 5 mabees 1 bug = 3.7 quarks 1 kuz = 3.2 mabees • 7 who’s = How many bugs 0.65 bugs
Time conversions • 1 year = 365 days • 1 day = 24 hours • 1 hour = 60 min • 1 min = 60 sec
How many seconds are in one year? • Set up the jumps. • 1 year = 365 days • 1 day = 24 hours • 1 hour = 60 min • 1 min = 60 sec
1 year = 31,536,000 seconds 1 year = 365 days 1 day = 24 hours 1 hour = 60 min 1 min = 60 sec