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Learn how to apply the factor label method to solve complex science problems by identifying facts, analyzing solutions, and evaluating results through unit conversions and derived units.
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PROBLEM SOLVING STRATEGIES • Identify the known facts. • Define the answer required. • Develop possible solutions. • Analyze these solutions and choose the correct one. • Develop the individual steps to arrive at the answer. • Solve the problem. • Evaluate the results.
Problem Solving – The Factor Label Method • This method of problem solving treats the units as factors. • As with common factors, these labels may be divided out. • The problem solution must have the correct unit label. • This method provides a “check” on mathematical operations. • The individual conversion factors ( ratios whose value is equivalent to one ) may usually be written by inspection.
The Three Parts of a Problem • A Known Beginning Given • A Desired End Find • A Connecting path or conversion method Factor
SIMPLE UNIT CONVERSIONS • Given: 0.143 hours • Find: seconds • Factors: ___________________
Simple Unit Conversions • Given: 0.84 m • Find: cm • Factors: _________________
Simple Unit Conversions • Given: 31.5 cg • Find: mg • Factors: _____________________
Simple Unit Conversions • Given: 65.22 mg • Find: g • Factors: _____________________________
Simple Unit Conversions • Given: 718 nm • Find: cm • Factor:
Derived Unit ConversionProblems • Given: 0.436 m3 • Find: cm3 • Factors:
Derived Unit ConversionProblems • Given: 0.693 dm3 • Find: cm3 • Factors:
Derived Unit ConversionProblems • Given: 9.06 km/h • Find: m/min • Factors:
Derived Units • Given: 3.5 m/s • Find: cm/s • Factors:
Derived Units • Given: 1.352 km/h • Find: mm/s • Factors: