Because chemists follow the convention of expressing all reaction rates as positive numbers, however, a negative sign is inserted in front of Δ[A]/Δt to convert that expression to a positive number.
I did not fully understand why reaction rates have to always be written as positive numbers. It was confusing why a negative sign is added if the concentration is already decreasing, and the reading did not clearly explain why this convention is necessary, instead of just allowing negative rates.