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I think it says the reaction rate's change dependence on a change in concentration. In other words a 0 order would not rely on concentration change to change the rate and a third order would have a relatively high change in rate if the concentration is altered.
Rate order helps us gauge how fast a reaction will occur. Reactant exponents are related to the concentrations, so depending on how much reactant we start with, rate order can tell us how long it will take for reactants to decrease and products to form
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