III. Unit Conversions SI Prefix Conversions Dimensional Analysis Measurement III. Unit Conversions SI Prefix Conversions 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 = _______ km 0.532 NUMBER UNIT NUMBER UNIT

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

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

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

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.

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

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

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

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 5K (5 km) race? km ft 5 km 1 mi 1.609 km 5280 ft 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 2.2. lb 1000 g 1 kg = 4545 g

B. Dimensional Analysis 8) 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 = 6.01 yd

Scientific Notation Way to write large numbers in shorthand by writing zeros as multiples of 10 or 1/10. 3.5 × 106 Rewrite the first number 3.5 Then read the exponent on the 10 If the exponent number is positive, move the decimal place that many places to the right. Answer:

Scientific Notation 3.5 × 10-3 If the exponent is negative, move the decimal that many places to the left. Answer:

Scientific Notation 38000 and 0.00584 Move the decimal until the number is less than 10 but greater than 1, then write that number. If you moved the decimal to the right add × 10-number you moved If you moved the decimal to the left add × 10+number you moved Answers:

Changing quantities into scientific notation 5,453,000 m Answer: 300.8 kg 0.012 032 5 km

Changing quantities into scientific notation 332,080,000 cm Answer: 34,800 s 0.00536 ng