Breadboard Wiring with Seven Segment Display
The wires you show are meant for both ends to be connected to the breadboard.  They have nice and sturdy pins on the ends that are just right for the sockets in the breadboard.

However, if you want to connect points on the breadboard to something off the breadboard, like your 7-segment LEDs apparently, then these aren't appropriate.  Fortunately single strand #22 wire works just fine in these breadboards too.  Get a roll of it, cut each wire to the length you need, solder one end to the LEDs, then stick the other end into whatever socket in the breadboard you want.