The decreasing order of reactivity of the following alkenes towards HBr addition is: \(\text{CH}_3-\text{CH}=\text{CH}_2 \, (\text{I}), \quad \text{CF}_3-\text{CH}=\text{CH}_2 \, (\text{II}), \quad \text{MeOCH}=\text{CH}_2 \, (\text{III}),\), \((\text{IV}) \)
The reactivity of alkenes in HBr addition is determined by the stability of the carbocation intermediate:
\(\text{- MeOCH=CH}_2\) (III): Most reactive due to resonance stabilization from the methoxy group, forming a stable carbocation.
\(\text{- CH}_3\text{-CH=CH}_2\) (I): Moderately reactive; forms a secondary carbocation.
\(\text{- CF}_3\text{-CH=CH}_2\) (II): Least reactive; forms a destabilized carbocation due to the electron-withdrawing CF3 group.
\(\text{- CH}_3 - \overset{\text{O}}{\overset{||}{\text{C}}} - \text{CH=CH}_2\) (IV): Forms a sterically hindered carbocation, resulting in the lowest reactivity.