Checking the voltage of a chain of 5 AA batteries

So you are good to go. Don't measure voltages between series batteries, use a simple voltage divider to measure the whole battery pack voltage.

And use the internal reference voltage so that the reading is correct when the batteries get low and "5V" is no longer truly 5V. The Arduino will probably keep running even though the "5V" is now only 4.5V, maybe 4.2V or even lower.

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What does that mean?

"ANALOG IN" strip (It was so crowded with wires I put the pin in the wrong end. )

Got it. You connected to the wrong analog pin, the one at the opposite end of the line of analog pins.

Nice!
But you can still make it better...
AA is just a size of a battery. It can be Ni-Mh 1.2V or alkaline/lithium 1.5V or Li-ion 3.7V or....
You don't need multimeter, voltage meter is enough.

Just to tidy up!!

I built a voltage divider from Vin and reprogrammed using the built-in 1.5v reference. I now have a pretty accurate voltage displayed on the led-matrix after fully loading the battery.