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MEASUREMENT The Metric System and Conversions

MEASUREMENT The Metric System and Conversions. Number vs. Quantity. Quantity - number + unit. UNITS MATTER!!. The Metric System. Easier to use because it is based on powers of 10. A metric unit has two parts: A prefix and a base unit Example cm, mL, mg

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MEASUREMENT The Metric System and Conversions

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  1. MEASUREMENTThe Metric System and Conversions

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

  3. The Metric System Easier to use because it is based on powers of 10. A metric unit has two parts: A prefix and a base unit Example cm, mL, mg The prefix tells you how many times to divide or multiply by 10 KHD DCM King (kilo=1000) Drinking (deci=1/10) Henry (Hecta =100) Chocolate (centi=1/100) Died ( Deka =10) Milk (Milli=1/1000)

  4. Some Base Units Length - meter(m) - more than a yard Mass - grams(g) - about a raisin Volume - Liter(L) - half of a two liter bottle

  5. Some Prefixes kilo 1 km = 1000 m Hecto 1 hm = 100 m Deka 1 dkm = 10 m deci 1 dm = .1 m centi 1 cm = .01 m milli 1 mm = .001 m Micro 1 µm = .000001 m Nano 1 nm = .000000001 m

  6. Dimensional Analysis • The “Factor-Label” Method • Units, or “labels” are canceled, or “factored” out

  7. Dimensional Analysis • Steps: 1. Identify starting & ending units. 2. Line up conversion factors so units cancel. 3. Multiply all top numbers & divide by each bottom number. 4. Check units & answer.

  8. Conversion Factors Conversion factor- a fraction based on a definition and equal to 1 Example: 1 cm = 0.01 m Conversion factors possible: 1 cm0.01 m0.01 m OR 1 cm

  9. Example 1 • Convert 77 kg to grams

  10. Example 2 • Convert .0087 mL to L

  11. Example 3 • Convert 12 yds to ft

  12. Example 4 • Convert 32.4 cm to yards

  13. Example 5 • Convert 50 mm to km

  14. Example 6 • Convert 4.5 x 10-5 yr to min

  15. Multi Dimension Conversions • Remember…….. • 1 dimension at a time!

  16. Example 1 • Convert 17.2 mi/hr to m/s

  17. Example 2 • Convert 44 cm3 to in3

  18. Example 3 • Convert 4.5 lb/ft3 to g/cm3

  19. Questions? • “The ultimate measure of a person is not where they stand in moments of comfort and convenience, but where the stand in times of challenge and controversy.”

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