FACTOR LABEL HOMEWORK

1. 1.55 x 106 nm = km This is just a metric conversion ---- always 2 steps. Start with what you’re given: One step to the BASE unit, meters: One step to the desired unit, kilometers: 1.55 x 106 nm 1x10-9 m 1 km x 1 nm 1x103 m 1.55x10-6 km

2. .00000093 Tg = g This is just a metric conversion ---- always 2 steps. Start with what you’re given: One step to the BASE unit, grams: One step to the desired unit, micrograms: 1x1012 g 1 g .00000093Tg x 1 Tg 1x10-6 g 9.3x1011 g

3. x 8.5 x 10-20 Ml = ml 8.5 x10-20 Ml 1x106 l 1 ml 1 Ml 1x10-3 l This is just a metric conversion ---- always 2 steps. Start with what you’re given: One step to the BASE unit, liters: One step to the desired unit, milliliters: 8.5 x10-20 Ml 1x106 l 1 ml x 1 Ml 1x10-3 l Or you could use this for last fraction  1000 ml 1 l 8.5x10-11 ml

4. x x 8 gallons = liters 4 8 gal qt .94 l 1 gal 1 qt 30.08 liters Gallons is an English unit and liters is a metric unit - determine what Metric-English conversion will work (from box at top of homework) Start with what you’re given: 4 8 gal qt .94 l x x 1 gal 1 qt 1 sig fig 30.08 liters 30 liters

Keep converting to bigger units of time until you get to years: 5. 5.75 x 1015 s = years Start with what you’re given: Keep converting to bigger units of time until you get to years: 1 min 1 hr 1 days 1 yr 5.75 x1015s x x x x 60 s 60 min 24 hr 365 days 1.82x108 yr

This has 2 dimensions. Convert ml to qt and min to hr 6. 500 ml/min = qt/hr This has 2 dimensions. Convert ml to qt and min to hr Start with what you’re given: ml is on top Min on bottom 500 ml min 1x10-3 l 1 qt 60 min x x x 1 .94 l hr 1 ml 31.9 qt/hr 1 sig fig 30 qt/hr

7. x x 9 in2 = cm2 2.54 9 in2 cm 2.54 cm 1 in 1 in 58.1 cm2 60 cm2 Start with what you’re given: But in won’t cancel in2 , so multiply by “1” again! 9 in2 2.54 cm in cm 2.54 1 x x 1 in 58.1 cm2 We only started with 1 sig fig 60 cm2

8. x x x x 55 miles/hr = m/s 55 mi hr 1.61 1x103 m 1 hr 1 min km 1 mi Remember --- get a good start  miles on TOP & hours on BOTTOM Start with what you’re given: I’ll get miles to meters first: Then I’ll get hr to seconds: 55 mi hr 1.61 1x103 m 1 hr 1 min km x x x x 1 mi 1 km 60 min 60 s 24.6 m/s We only started with 2 sig figs 25 m/s