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Measurement. III. Unit Conversions SI Prefix Conversions Dimensional Analysis (Factor Label) using the Bridge Model. To the left or right?. A. SI Prefix Conversions. 1. Convert one unit to a different unit. 2. Move the decimal that many places. K- H- D- b d- c- m-
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Measurement III. Unit Conversions SI Prefix Conversions Dimensional Analysis (Factor Label) using the Bridge Model
To the left or right? A. SI Prefix Conversions 1. Convert one unit to a different unit. 2. Move the decimal that many places. K- H- D- b d- c- m- (King Henry Died by drinking chocolate milk)
NUMBER = UNIT (m) A. SI Prefix Conversions 0.532 532 m = _______ km NUMBER UNIT(km)
A. Dimensional Analysis • The “Factor-Label” Method • Units, or “labels” are canceled, or “factored” out • Use the bridge model = .20 m
A. Dimensional Analysis • Steps: 1. Identify starting & ending units. 2. Line up conversion factors so units cancel. 3. Multiply all top numbers & multiply the bottom numbers then divide the top # by the bottom #. 4. Check units & answer.
1) 20 cm = ______________ m A. SI Prefix Conversions 0.2
2) 0.032 g = ______________ mg A. SI Prefix Conversions 32
3) 45 km = ______________ m A. SI Prefix Conversions 45, 000
4) 805 m = ______________ km A. SI Prefix Conversions 0.805
B. Non-metric Dimensional Analysis • Lining up conversion factors: (The American System of Measurement is not based on base 10 numbering) = 1 1 in = 2.54 cm 2.54 cm 2.54 cm You will be given the conversion factor 1 = 1 in = 2.54 cm 1 in 1 in
cm in B. Dimensional Analysis(Using the Bridge Model) • Your European hairdresser wants to cut your hair 8 cm shorter. How many inches will he be cutting off? (1 in = 2.54 cm) 8 cm 1 in 2.54 cm = 3.15 in
qt mL B. Dimensional Analysis • How many milliliters are in 1 quart of milk? (1 L = 1.057 qt) 2 step problem 1 L 1.057 qt 1000 mL 1 L 1 qt = 946 mL
kg lb B. Dimensional Analysis 5) Assume your mass is 55 kg. How many pounds do you weigh? (1kg = 2.2lb) 55 kg 2.2 lb 1 kg = 121 lb
km ft B. Dimensional Analysis 6) How many feet long is a 5K (5 km) race? (1 mi = 1.609km) (1mi = 5280 ft) 2 step problem 1 mi 1.609 km 5280 ft 1 mi 5 km = 16,408 ft
lb g B. Dimensional Analysis 7) How many grams does a 10-lb. bag of potatoes weigh? (1 kg = 2.2 lb) 2 steps 1 kg 2.2. lb 1000 g 1 kg 10 lb = 4545 g
cm yd B. Dimensional Analysis 8) Taft football needs 550 cm for a 1st down. How many yards is this? (1 in = 2.54 cm, 1 ft = 12 in, 1 yd = 3 ft) 1 ft 12 in 1 yd 3 ft 1 in 2.54 cm 550 cm = 6.01 yd