Advanced Metric Conversion Notes

Working with fraction units mi/hr m/s2 g/L Units with Fractions What are some examples? Working with fraction units When converting a unit containing fractions: 1) Work with the numerator and the denominator in separate steps 2) Remember to show which units are cancelling carefully! mi/hr m/s2 g/L 3) Units do not need to be next to each other to cancel a) Convert 32 m/s to miles/hour 3.28 ft 1 mile 60 min 32 m x _________ x __________ x _______ x _______ = 1 s 60 s 71.6 mi/hr 1 m 5280 ft 1 min 1 hr

Practice = 0.97 m/s = 12.1 m/s You try it! Convert from 3.5 km/hr to m/s Convert 27 mi/hr to m/s 3.5 km 1 hr 1000 m 1 km 1 hr 60 min 1 min 60 sec = 0.97 m/s x x x 27 mi 1 hr 5280 ft 1 mi 1 m 3.28 ft 1 hr 60 min 1 min 60 sec = 12.1 m/s x x x x

Units with exponents cm3 ft2 13 km3 1500 m3 x ___________ = 1 What are some examples? Working with units containing exponents When converting a unit containing fractions: cm3 ft2 When working with squared to cubed units, be sure to square or cube your conversion factors! a) Convert 1500 m3 to km3 13 km3 1500 m3 x ___________ = 1 1.5x10-6 km3 10003 m3 b) Convert 500 mL to mm3 (Hint: 1 ml = 1 cm3!) 1 cm3 500 mL x ___________ = 1 500 cm3 1 mL

Practice = 4.5 x 108 m2 = 52.9 ft3 = 5.0 x 106 mL You try it! Convert from 450 km2 to m2 Convert 1.5 m3 to ft3 Convert 5.0 m3 to mL 450 km2 10002 m2 12 km2 = 4.5 x 108 m2 x 1.5 m3 3.283 ft3 13 m3 = 52.9 ft3 x 5.0 m3 1003 cm3 13 m3 1 mL 1 cm3 = 5.0 x 106 mL x x