SOLUTION: How do I use two unit multipliers to convert 300 inches to meters?

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Question 23946: How do I use two unit multipliers to convert 300 inches to meters?
Answer by AnlytcPhil(1806)   (Show Source): You can put this solution on YOUR website!
How do I use two unit multipliers to convert 300 inches to meters?

We will go from inches to centimeters to meters

Start with 100 in written as a fraction with 1 denominator:

 100 in
————————
    1

Now we wish to cancel away the inches and bring in cemtimeters.
We know that 2.54 centimeters = 1 inch, so we make a unit 
multiplier fraction out of that putting inches on the bottom
and centimeters on the top, so they will cancel.  So now we have

 100 in     2.54 cm
———————— × —————————  
    1         1 in

Now we will be able to cancel the inches like this

 100 in     2.54 cm
———————— × —————————  
    1         1 in

Now we wish to cancel away the centimeters and bring in meters.
We know that 100 centimeters = 1 meter, so we make a unit 
multiplier fraction out of that putting centimeters on the bottom
and meters on the top, so they will cancel.  So now we have

 100 in     2.54 cm       1 m
———————— × ————————— × ————————  
    1         1 in      100 cm

Now when we do all the cancelling

 100 in     2.54 cm       1 m
———————— × ————————— × ————————  
    1         1 in      100 cm

Now it just so happens that the 100's cancel too:

 100 in     2.54 cm       1 m
———————— × ————————— × ————————  
    1         1 in      100 cm

So we end up with 

2.54 meters

Edwin
AnlytcPhil@aol.com

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