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Units of Measurement: Understanding Number vs. Quantity in SI Units

Dive into the world of measurement units, from base units to derived units and prefixes. Learn how to calculate density, mass, and volume using SI units. Follow expert C. Johannesson's problem-solving steps and examples.

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Units of Measurement: Understanding Number vs. Quantity in SI Units

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  1. CH. 2 - MEASUREMENT II. Units of Measurement Number vs. Quantity SI Units Derived Units Density C. Johannesson

  2. A. Number vs. Quantity • Quantity - number + unit C. Johannesson UNITS MATTER!!

  3. B. SI Units Quantity Symbol Base Unit Abbrev. Length l meter m Mass m kilogram kg Time t second s Temp T kelvin K Amount n mole mol C. Johannesson

  4. kilo- mega- M k 103 106 deci- BASE UNIT d --- 100 10-1 centi- c 10-2 milli- m 10-3 micro-  10-6 nano- n 10-9 pico- p 10-12 B. SI Units Prefix Symbol Factor C. Johannesson

  5. M V D = C. Derived Units • Combination of base units. • Volume (m3 or cm3) • length  length  length 1 cm3 = 1 mL 1 dm3 = 1 L • Density (kg/m3 or g/cm3) • mass per volume C. Johannesson

  6. D. Density Mass (g) Volume (cm3) C. Johannesson

  7. Problem-Solving Steps 1. Analyze 2. Plan 3. Compute 4. Evaluate C. Johannesson

  8. D. Density • An object has a volume of 825 cm3 and a density of 13.6 g/cm3. Find its mass. GIVEN: V = 825 cm3 D = 13.6 g/cm3 M = ? WORK: M = DV M = (13.6 g/cm3)(825cm3) M = 11,200 g C. Johannesson

  9. WORK: V = M D V = 25 g 0.87 g/mL D. Density • A liquid has a density of 0.87 g/mL. What volume is occupied by 25 g of the liquid? GIVEN: D = 0.87 g/mL V = ? M = 25 g V = 29 mL C. Johannesson

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