SOLUTION: use two unit multipliers to convert 175 kilometers to centimeters

175 kilometers to centimeters

We will go from kilometers to meters to centimeters.

Start by putting 175 km over 1:



We want to get rid of km and bring in m.
We know that 1000 m = 1 km.
Since km is in the numerator, we will make the
first unit multiplier by putting 1 km in the 
denominator and 1000 m in the numerator, so the
km will cancel. So we multiply by the unit 
multiplier :



Now the km's will cancel:



Now we want to get rid of m and bring in cm.
We know that 100 cm = 1 m.
Since m is in the numerator, we will make the
first unit multiplier by putting 1 m in the 
denominator and 100cm in the numerator, so the
m's will cancel. So we multiply by the unit 
multiplier :

 


We cancel the m's:



and we end up with 

175×1000×100 = 17,500,000.

Edwin