Measurement III Unit Conversions w SI Prefix Conversions

Measurement III. Unit Conversions w SI Prefix Conversions w Dimensional Analysis

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?

A. SI Prefix Conversions 532 m NUMBER UNIT 0. 532 km = _______ = NUMBER UNIT

move right move left A. SI Prefix Conversions Prefix Symbol Factor megakilodecicentimillimicronanopico- M k d c m n p 106 103 10 -1 10 -2 10 -3 10 -6 10 -9 10 -12

A. SI Prefix Conversions 1) 20 cm = 0. 2 _______ m 32 2) 0. 032 A = _______ m. A 3) 45 m = 45, 000 _______ nm 0. 0805 4) 805 dm = _______ km

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

B. Dimensional Analysis ö 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.

B. Dimensional Analysis ö Lining up conversion factors: 1 in = 2. 54 cm =1 2. 54 cm 1 in = 2. 54 cm 1= 1 in

B. Dimensional Analysis ö Your European hairdresser wants to cut your hair 8 cm shorter. How many inches will he be cutting off? cm 8 cm 1 in 2. 54 cm in = 3. 15 in

B. Dimensional Analysis ö How many milliliters are in 1 quart of milk? qt m. L 1 qt 1 L 1000 m. L 1. 057 qt 1 L = 946 m. L

B. Dimensional Analysis 5) Assume your mass is 55 kg. How many pounds do you weigh? kg lb 55 kg 2. 2 lb 1 kg = 121 lb

B. Dimensional Analysis 6) How many feet long is a 5 K (5 km) race? km 5 km ft 1 mi 5280 ft 1. 609 km 1 mi = 16, 408 ft

B. Dimensional Analysis 7) How many grams does a 10 -lb. bag of potatoes weigh? lb g 10 lb 1 kg 1000 g 2. 2. lb 1 kg = 4545 g

B. Dimensional Analysis 8) Taft football needs 550 cm for a 1 st down. How many yards is this? cm 550 cm yd 1 in 1 ft 1 yd 2. 54 cm 12 in 3 ft = 6. 01 yd