Start with the conversion
1ft = 30.48cm
if we divide both sides by 30.48cm we can see that
30.48cm/1ft = 1
similarly, for yards to feet
1yard = 3ft
and dividing by 1 yard we get
3ft/1yard = 1
Now, we have 100 yards and want to find out how many cm this is equivalent to. Lets convert the units. If we multiply by something by 1, we do not change the value
100yards = 100yards*1
but since we know
1 = 3ft/1yard
we can do
100yards = 100yards*(3ft/1yard)
100yards = 300ft
Now, to convert 300ft to cm, multiply by 1 in a similar way.
300ft = 300ft*1
and we know
1 = 30.48cm/1ft
so
300ft = 300ft*1 = 300ft*(30.48cm/1ft)
300ft = 9144cm
9144cm in 300ft, and therefore 9144cm in 100 yards.
2/10/2014

James A.
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