MEASUREMENT Unit Conversions C. Johannesson.

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MEASUREMENT Unit Conversions C. Johannesson

A. Metric Conversions 100 cm = 1 m Determine how many smaller units are needed to make the larger unit. 100 cm = 1 m C. Johannesson

A. Metric Conversions Prefix Symbol Factor mega- M 106 kilo- k 103 BASE UNIT --- 100 deci- d 10-1 Larger units Smaller units centi- c 10-2 milli- m 10-3 micro-  10-6 nano- n 10-9 pico- p 10-12 C. Johannesson

A. Metric Conversions 0.2 32 45,000 0.0805 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

Dimensional Analysis qt mL 1.00 qt 1 L 1.057 qt 1000 mL 1 L = 946 mL How many milliliters are in 1.00 quart of milk? qt mL 1.00 qt 1 L 1.057 qt 1000 mL 1 L = 946 mL  C. Johannesson

B. Dimensional Analysis You have 1.5 pounds of gold. Find its volume in cm3 if the density of gold is 19.3 g/cm3. lb cm3 1.5 lb 1 kg 2.2 lb 1000 g 1 kg 1 cm3 19.3 g = 35 cm3 C. Johannesson

B. Dimensional Analysis How many liters of water would fill a container that measures 75.0 in3? in3 L 75.0 in3 (2.54 cm)3 (1 in)3 1 L 1000 cm3 = 1.23 L C. Johannesson

B. Dimensional Analysis 5) Your European hairdresser wants to cut your hair 8.0 cm shorter. How many inches will he be cutting off? cm in 8.0 cm 1 in 2.54 cm = 3.2 in C. Johannesson

B. Dimensional Analysis 6) Taft football needs 550 cm for a 1st down. How many yards is this? cm yd 550 cm 1 in 2.54 cm 1 ft 12 in 1 yd 3 ft = 6.0 yd C. Johannesson

B. Dimensional Analysis 7) A piece of wire is 1.3 m long. How many 1.5-cm pieces can be cut from this wire? cm pieces 1.3 m 100 cm 1 m 1 piece 1.5 cm = 86 pieces C. Johannesson