The problem with measuring very small resistances is that the resistance of connections becomes so important relative to the resistance one is attempting to measure.
Put your ohmmeter on its lowest scale and, with fingers off the exposed metal on the probes, press the metal tips together. Now, by adjusting the pressure with which you press the tips together, you should be able to change the indicated resistance by a large relative amount.
Keep this in mind when you make your resistance measurements.
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