[Jon Stratis]

I'm guessing you're using the multimeter wrong when measuring current. Voltage is a measure of the electrical potential difference between two points, so you put one probe on each side of the resistor and you get the voltage drop across that resistor. Simple. Current, on the other hand, is a measure of the flow of electrons through a wire. So putting the probes in the same place as you previously did doesn't work - no electrons flow through the multimeter, and even if some did they wouldn't tell you how many are flowing through the resistor.

So instead, you need to put the multimeter and resistor in series - unclip one of the alligator leads from the resistor, and clip it to one of the multimeter probes. Then put the other multimeter probe on the resister where the alligator clip had previously been.

When thinking about these things, it's helpful to come back to your basic circuit diagram and think about how it's represented there. Voltage is represented as a value as a specific point in the circuit, while current is represented as a value with an arrow showing its flow through the circuit, indicating that it's not necessarily a value at a specific point, but rather a value through a specific path in the circuit.

This is all further highlighted by ohms law - V=IR. V is the voltage across the resistor, R is the resistance, and I is the current through the resistor.