In mathematical terms, a reciprocal of a number is 1 divided by the number. Multiplying a number by it's reciprocal, gives you 1. For example, reciprocal of 4 = 1/4
If you are talking in numbers, it is basically the number flipped over itself and then its sign is changed. For example, if you have the number 4, the reciprocal would then be -1/4.
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