The opposite reciprocal of negative 1 is 1.
To understand why, let’s break it down:
- The term ‘reciprocal’ refers to the value that, when multiplied by the original number, equals 1. For negative 1, the reciprocal is also negative 1, because -1 * -1 = 1.
- The term ‘opposite’ means to change the sign of the original number. Since negative 1 is negative, the opposite of negative 1 is positive 1.
Putting these two concepts together, the opposite of negative 1 is 1, and that’s also the reciprocal when we consider the value that gives us 1 when multiplied by it. Thus, the opposite reciprocal of negative 1 is indeed 1.