1. Advanced Metric Conversion Notes

2. 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

3. 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

4. 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

5. 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