1. Making a new equivalency for a conversion factor
Two things equivalent to a third are equivalent to each other.
If a=b and a=c, then b=c as well.
If 1 m = 1000 mm and 1 m = 100 cm
then 1000 mm = 100 cm or, simplified 10 mm = 1 cm
If 1 atm = 760 mm Hg and 1 atm = 101,325 Pa
then 760 mm Hg = 101,325 Pa

2. Another way to look at Dimensional Analysis
Set up the equation with just the units.
After solving for the units, put in the numbers and do the math.
Convert 35 m/s to Km/hr.
Set up just the units - start with the known… = hr Km m s x s
min x
min hr x Km m
Then plug in the numbers… x Km
1000 m
126,000 Km hr
60 s
min
35 m s =
126 Km
60 min
1,000 hr

3. Another way to look at Dimensional Analysis
Convert Kg/L to g/mL. Kg L x g Kg x L mL g = mL x L
1,000 mL
1,000 g Kg
13.53 Kg
13.53 g = mL
Plug in the numbers…

4. Reminder - How to solve Dimensional Analysis problems:
STEPS:
1) BEGIN WITH KNOWN
2) DECIDE ON AN EQUALITY
3) ARRANGE UNITS TO CANCEL OUT ORIGINAL UNITS
4) DO THE MATH!