10/12/16 Today I will convert measurements within the metric system using factor label. Warm Up – Take a deep breath!

Measurement Metric System SI units – base units Length - meter Mass– gram Volume – liter Time – second Energy - Joule

Metric Conversion Table   Decimal Prefix Symbol 1 BASE = 1 x 10-9 giga- G 1 x 10-6 mega- M 0.001 kilo- k 0.01 hecto- h 0.1 deca- da 10 deci- d 100 centi- c 1000 milli- m 1 x 106 micro- µ 1 x 109 nano- n 1 meter = how many micrometers? 1 gram = how many kilograms? 1 liter = how many gigaliters?

Dimensional Analysis 1 m = 100 cm 124 m = ? cm 124 m 100 cm =12400 cm x 1 m 1. What do you know? 2. Start with what you are given 3. Set up your identity. x ------ 4. Whatever unit is on top goes on the bottom. 5. Plug in conversion factors 6. Cancel Units! Multiply by top… Divide by bottom.

Dimensional Analysis 1 m = 1 x 109 nm 24000 nm= ? m 1 m 24000 nm 1. What do you know? 2. Start with what you are given 3. Set up your identity. x ------ 4. Whatever unit is on top goes on the bottom. 5. Plug in conversion factors 6. Cancel Units! Multiply by top… Divide by bottom.

Metric Conversion Table Dimensional Analysis 1 g = 0.001 kg 0.033 kg = ? dg 1 g = 10 dg We don’t have a direct conversion between kg and dg. Metric Conversion Table   Decimal Prefix Symbol 1 BASE = 1 x 10-9 giga- G 1 x 10-6 mega- M 0.001 kilo- k 0.01 hecto- h 0.1 deca- da 10 deci- d 100 centi- c 1000 milli- 1 x 106 micro- µ 1 x 109 nano- n

Dimensional Analysis 1 g = 0.001 kg 0.033 kg = ? dg 1 g = 10 dg We don’t have a direct conversion between kg and dg. 1 g 10 dg 0.033 kg 330 dg x x = 0.001 kg 1 g

Dimensional Analysis 1 L = 1000 mL 593 mL = ? cL 1 L = 100 cL Again, no direct conversion between mL and cL. 1 L 100 cL 593 mL x = 59.3 cL x 1000 mL 1 L

Homework Factor Label #1

10/13/16 Today I will use dimensional analysis to convert between metric and English systems Warm Up – #1) How many Gg in 19,500,000 dg?

Dimensional Analysis 3.2 km = ? mi 1 mi = 1.609 km 3.2 km 1 mi x 1.609 km 1. What do you know? 2. Start with what you are given 3. Set up your identity. x ------ 4. Whatever unit is on top goes on the bottom. 5. Plug in conversion factors 6. Unit cancel! Multiply by top… Divide by bottom. Answer should have same # of sig figs as given

Dimensional Analysis 1 ft = 12 in 116 ft= ? cm 1 in = 2.54 cm We don’t have a direct conversion between ft and cm. 12 in 2.54 cm 116 ft =3535.68 cm x x 1 ft 1 in =3540 cm

Dimensional Analysis 324 km/min = ? miles/hr = 12082.03 mi/hr 60 min = 12082.03 mi/hr x x min 1.609 km 1 hr = 12100 mi/hr

Dimensional Analysis = 26.8 m/sec If I am traveling at 60.0 mi/hr, how fast am I going in meters/sec? 60.0 mi 1.609 km 1 m 1 hr 1 min x x x x hr 1 mi 0.001 km 60 min 60 sec = 26.8 m/sec

Lab Measurement Lab