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Practical Dimensional Analysis Techniques for Unit Conversions

Learn the Factor-label Method using ratios with units to convert measurements easily. Practice converting miles to inches, nm to mm, km to nm, and μm to nm with provided equivalencies.

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Practical Dimensional Analysis Techniques for Unit Conversions

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  1. Dimensional Analysis The Factor-label Method of Conversions Use Ratios with UNITS and Canceling

  2. Problem: Use each of the following equivalencies (ratios) to determine how many inches are in 3 dozen miles. Conversion Factors: 1 dozen = 12 ; 5280 ft = 1 mile; 12 inches = 1 foot. Units match 3 doz.mi. 12 5280 ft 12 in ________________________________= in. 2280960 1 doz. 1 mi. 1 ft

  3. 000,000,000,000,000.000,000,000,000, 1015101210910610310-310-610-910-12 P T G M k m μ n p peta tera giga mega kilo milli micro nano pico

  4. Convert 57 nm to mm. (n = 10-9, m = 10-3) units match 57 nm 57 x 10-6 = mm or: 5.7 x 10-5 mm Got Larger Got Smaller Note the ratios used and how they were used:

  5. Convert 93 km to nm. (n = 10-9, k = 103) units match 93 km 93 x 1012 = nm or: 9.3 x 1013 nm Note the ratios used and how they were used:

  6. Convert 68 μm to nm. (μ = 10-6, n = 10-9) units match 68 μm 68 x 103 = nm or: 6.8 x 104 nm

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