inetnum: 2800:4b0::/32 status: allocated aut-num: N/A owner: America Movil Peru S.A.C. ownerid: PE-TPSA4-LACNIC responsible: Claro Lacnic address: Av. Nicolas Arriola, 480, La Victoria address: LI13 - Lima - LI country: PE phone: +51 1 613 1000  owner-c: CLL2 tech-c: CLL2 abuse-c: CLL2 created: 20100528 changed: 20100528 nic-hdl: CLL2 person: Claro Lacnic e-mail: clarolacnic@CLARO.COM.PE address: Carlos Villaran 140, Sta Catalina, La Victoria, 140, address: 13 - Lima - country: PE phone: +51 1 6131000  created: 20090818 changed: 20140415
IP address ranges, or netblocks, are groups of related IP addresses. They are usually represented as a base IP address, followed by a slash, and then a netmask which represents how many IP addresses are contained within the netblock. This format is known as CIDR. You'll also sometimes see netblocks given as a start ip address, and an end ip address, or an ip address range.
Traffic works its way around the internet based on the routing table, which contains a list of networks and their associated netblocks.