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embizze eNotes educator| Certified Educator

The reciprocal of a number is the number's multiplicative inverse: in other words the number that when you multiply by that number you get 1.

The reciprocal of -2 is `-1/2` since `(-2)(-1/2)=1`

** Note that you do not want to confuse this with a number's opposite, or additive inverse. The additive inverse is a number so that the sum of the numbers is 0. **

rcmath eNotes educator| Certified Educator

Reciprocal of a number is 1/number. It does not affect its sign.

Thus the reciprocal of -2 is `-1/2`