Which prefix has the greater value is greater centimeter or decameter?

A decimeter (dm) is equal to 1/10 of a meter. It is equal to slightly less than 4 inches (3.937 inches, to be exact). A centimeter (cm) is equal to 1/100 of a meter. So, yes, a "decimeter" is a greater unit of length than a "centimeter".

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That is correct but the conversion to inches in the middle only confuses the issue.

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1 metre = 10 decimetres = 100 centimetres = 1000 millimetres.