III. Unit Conversions (p )

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III. Unit Conversions (p. 40 - 42) CH. 2 - MEASUREMENT III. Unit Conversions (p. 40 - 42) C. Johannesson

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

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

A. SI Prefix Conversions Symbol Factor mega- M 106 kilo- k 103 BASE UNIT meter, gram, liter 100 deci- d 10-1 move left move right centi- c 10-2 milli- m 10-3 micro-  10-6 nano- n 10-9 pico- p 10-12 C. Johannesson

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

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

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. C. Johannesson

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 C. Johannesson

B. Dimensional Analysis How many milliliters are in 5 kL? Conversions:1kL = 1000L &1L = 1000mL kL mL 5 kL 1000 L 1 kL 1000 mL 1 L = 5,000,000 mL  C. Johannesson

B. Dimensional Analysis You have 10 kg of gold. How many Milligrams of gold do you have? Use: 1kg=100g, 1000mg = 1 gram kg mg 10 kg 100 g 1 kg 1000 mg 1 g =1,000,000 mg C. Johannesson

B. Dimensional Analysis How many liters of water would fill a container with a volume of 500 cm3? 1L=1000mL, 1mL = 1cm3 cm3 L 500 cm3 1 ml 1 cm3 1 L 1000 ml = .5 L C. Johannesson

B. Dimensional Analysis You get 2000 mm of your hair cut off. How many meters is this? 1m=1000mm mm m 2000 mm 1 m 1000 mm = 2 m C. Johannesson

B. Dimensional Analysis 6) The RHS football needs 550 cm for a 1st down. How many meters is this? 100cm = 1m cm m 550 cm 1 m 100 cm = 5.5m C. Johannesson

B. Dimensional Analysis 7) I drove 5 km to school today. How many millimeters did I drive? 1000m=1km, 1m=1000mm km mm 5 km 1000 m 1 km 1000 mm 1 m =5,000,000 mm C. Johannesson