Where to start
If you came here to fix something, you probably do not need to read anything first. The tools directory has a table that maps everyday questions, such as whether a VPN is working or a DNS change has gone live, to the tool that answers them.
If you want to understand what you are looking at, read What is an IP address? first. It covers the ideas the other pages build on: public and private addresses, NAT, and who assigns the numbers. IPv4 vs IPv6 follows on from it and explains why many connections now carry two addresses instead of one.
The guides use reserved example addresses such as 203.0.113.42 and 2001:db8::1. These ranges are set aside for documentation, so they never belong to a real network.