Explain why?
Rate of reaction is change in concentration in a given time interval. The change in concentration is (final concentration - initial concentration). As the reaction progresses the change in concentration of reactants decreases and that of products increases. D C gets a negative sign in case of reactants and
positive sign in case of products.

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Solution

A negative sign placed before a reaction rate symbol signifies a decrease in concentration of the reactant with increase of time and a positive sign before the rate symbol signifies that the concentration of the product increases with increase in time.

$R a t e = \pm \frac{Δ [C]}{Δ t}$
$+ \frac{Δ [C]}{Δ t}$ = Rate at which concentration of product increases
$- \frac{Δ [C]}{Δ t}$ = Rate at which concentration of reactants decreases

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