First, note that dm is the same as decimeters and m is the same as meters. Thus, when you are asking to convert 9 dm to m, you are asking to convert 9 decimeters to meters.
A decimeter is smaller than a meter. Simply put, dm is smaller than m. In fact, a decimeter is "10 to the power of -1" smaller than a meter.
Since a decimeter is 10^-1 smaller than a meter, it means that the conversion factor for dm to m is 10^-1. Therefore, you can multiply 9 dm by 10^-1 to get 9 dm converted to m.
Here is the answer with the math showing you how to convert 9 dm to m by multiplying 9 by the conversion factor of 10^-1.
9 x 10^-1 = 0.9
9 dm = 0.9 m
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As you may have concluded from learning how to convert 9 dm to m above, "9 decimeters to meters", "9 dm to m", "9 dm to meters", and "9 decimeters to m" are all the same thing.