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