1/3 is the additive inverse of 3.
The correct answer and explanation is:
The statement “1/3 is the additive inverse of 3” is incorrect. The additive inverse of a number is the number that, when added to the original number, results in zero. The additive inverse of a number aa is represented as −a-a.
For example, the additive inverse of 3 is −3-3, because: 3+(−3)=03 + (-3) = 0
Similarly, the additive inverse of 1/31/3 would be −1/3-1/3, because: 13+(−13)=0\frac{1}{3} + \left( -\frac{1}{3} \right) = 0
To clarify, the additive inverse of 3 is not 1/31/3. In fact, the reciprocal of 3 is 1/31/3, but this is different from the additive inverse. The reciprocal of a number is the number that, when multiplied by the original number, results in 1. For example, the reciprocal of 3 is 1/31/3, because: 3×13=13 \times \frac{1}{3} = 1
In summary, the additive inverse of 3 is −3-3, not 1/31/3. The additive inverse and reciprocal of a number are two different concepts. The additive inverse deals with addition, while the reciprocal involves multiplication.