Did I do damage to the multimeter?

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Using the black probe in the "A" port instead of the "COM" port while measuring resistance typically does not damage the multimeter. The readings may appear correct but will have an opposite magnitude. The most significant risk to a multimeter occurs when measuring voltage while set to measure current, which can blow a fuse. Most multimeters are designed to withstand common user errors without permanent damage. Overall, the multimeter should still function properly after the incident.
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I accidently put the black probe in the "A" port instead of the "COM" port and mistakingly measured resistence. The resistence measured seemed to be correct, but did I do damage to the multimeter?
 
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no - 11 year olds use those multimetres nad stick things in the wrong way all the time. Your reading will have been correct but with opposite magnitude to what it should have had.
 
What were you trying to read, amperes? Where was the red probe plugged in?

The only thing that truly "blows" a meter is by trying to measure voltage while it is set to measure current, and even still, most meters will blow a fuse that is replaceable.
 
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