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Measurement

Measurement. I. Units of Measurement Number vs. Quantity SI Base Units & Prefixes Derived Units Density Calculations. A. Number vs. Quantity. Quantity - number + unit. UNITS MATTER!!. B. SI Units. Quantity. Base Unit. Symbol. Length. meter. m. Mass. kilogram. kg. Time. second.

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Measurement

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  1. Measurement I. Units of Measurement Number vs. Quantity SI Base Units & Prefixes Derived Units Density Calculations

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

  3. B. SI Units Quantity Base Unit Symbol Length meter m Mass kilogram kg Time second s Temp kelvin K Current ampere A

  4. SI Units continued… Force Weight Velocity Acceleration Light N N m/s m/s2 cd Newtons Newtons (due to gravity) Distanceper time Distance per time2 Candela

  5. mega- kilo- M k 103 106 deci- d 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

  6. M V M D = D V C. Derived Units • Combination of base units. • Volume - length  length  length 1 cm3 = 1 mL 1 dm3 = 1 L • Density - mass per unit volume (g/cm3)

  7. M D V 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 = 11,220 g

  8. WORK: V = M D V = 25 g 0.87 g/mL M D V D. Density 1) 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 = 28.74 mL

  9. WORK: D = M V D = 620 g 753 cm3 M D V D. Density 2) You have a sample with a mass of 620 g & a volume of 753 cm3. Find density. GIVEN: M = 620 g V = 753 cm3 D = ? D = 0.82 g/cm3

  10. To the left or right? A. SI Prefix Conversions 1. Find the difference between the exponents of the two prefixes. 2. Move the decimal that many places.

  11. NUMBER = UNIT A. SI Prefix Conversions 0.532 532 m = _______ km NUMBER UNIT

  12. kilo- mega- M k 106 103 deci- d 10-1 centi- c 10-2 milli- m 10-3 micro-  10-6 nano- n 10-9 pico- p 10-12 A. SI Prefix Conversions Prefix Symbol Factor move left move right

  13. 1) 20 cm = ______________ m 2) 0.032 A = ______________ mA 3) 45 m = ______________ nm 4) 805 dm = ______________ km A. SI Prefix Conversions 0.2 32 45,000 0.0805

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

  15. B. 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.

  16. B. Dimensional Analysis • Lining up conversion factors: = 1 1 in = 2.54 cm 2.54 cm 2.54 cm 1 = 1 in = 2.54 cm 1 in 1 in

  17. cm in  B. Dimensional Analysis • Your European hairdresser wants to cut your hair 8 cm shorter. How many inches will he be cutting off? 8 cm 1 in 2.54 cm = 3.15 in

  18. qt mL B. Dimensional Analysis • How many milliliters are in 1 quart of milk? 1 L 1.057 qt 1000 mL 1 L 1 qt = 946 mL

  19. kg lb B. Dimensional Analysis 5) Assume your mass is 55 kg. How many pounds do you weigh? 55 kg 2.2 lb 1 kg = 121 lb

  20. km ft B. Dimensional Analysis 6) How many feet long is a 5K (5 km) race? 1 mi 1.609 km 5280 ft 1 mi 5 km = 16,408 ft

  21. lb g B. Dimensional Analysis 7) How many grams does a 10-lb. bag of potatoes weigh? 1 kg 2.2. lb 1000 g 1 kg 10 lb = 4545 g

  22. cm yd B. Dimensional Analysis 8) Taft football needs 550 cm for a 1st down. How many yards is this? 1 ft 12 in 1 yd 3 ft 1 in 2.54 cm 550 cm = 6.01 yd

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