A modular flooring assembly 10 including a flooring component 600 adhered to a tray substrate 100 is described. The modular flooring assembly 10 may be interconnected with additional modular flooring assemblies to form a modular floor suitable for most flooring applications. The flooring component 600 may be tile or wood or other materials commonly used in flooring applications. Convention fill-in grout or a snap-in grout may be used with the modular flooring assemblies 10. One suitable snap-in grout is a right angle grout member 400. Another suitable snap-in grout is an interconnecting grout system 510.