Where did Gladiators live?
on the street
barracks
small apartments
large houses

barracks

Explanation:

Gladiators were slaves that were owned by the members of upper class society in Italy.. The reason they fought was because the champions among those gladiators tend to received fame and glory in the community and obtain a chance to obtain their freedom.

Because of this, Gladiators were not allowed to own private properties or freely roaming around the street.

Gladiators lived in barracks. Unlike normal houses, Barracks consisted of training / workout equipment's that the gladiators can use to prepare themselves for future fight.  The owners of the gladiators were usually the one that control their diet regimen along with providing trainers for the gladiators.

productive most commonly means: achieving or producing a significant amount or result.

explanation:

productive can also mean:

these depend on how the word productive is used. most likely productive will mean   achieving or producing a significant amount or result.