FastEthernet1/0 is the interface that the IP address is added to
192.168.1.1 is the unique IP address set for the interface
255.255.255.0 is the subnet mask that identifies which network the IP address belongs to
When setting up a router, it needs a unique IP address. It helps other devices detect and communicate. Setting up an ip address can be assigned either manually, like in this video, or dynamically. This can be done using a DHCP server. To do this, you need a static routing setup.
Stay curious and keep learning!