The "additive inverse" is essentially the NEGATIVE of a number. The term is used to avoid confusion when taking the negative of a negative integer.
The additive inverse of any number n is (-1)n.
The absolute value of a number and its additive inverse are the same.
The additive inverse of any negative number is the same number with the minus sign removed. In this instance, the additive inverse of -84 is 84.
As far as positive numbers are concerned, the additive inverse of a positive number is a negative number with the same magnitude (i.e. the additive inverse of 5 is -5). It would be wrong to simply say that "negative" and "additive inverse" are correct, because the additive inverse of a negative number is a positive number.
The question is confusing. The additive inverse of a real number is the same number with the sign changed. For example, the additive inverse of -5 is +5 (or simply 5); the additive inverse of 7 (which is the same as +7) is -7.
The additive inverse of a number is the number with the same magnitude but with the sign changed. It is a number such that the two numbers added together make zero (the additive identity).
In mathematics, the additive inverse of a number a is the number that, when added to a, yields zero. This number is also known as the opposite. For a real number, it reverses its sign: the opposite to a positive number is negative, and the opposite to a negative number is positive.
The additive inverse of any number x is the number that, when added to x, will give an answer of 0. So for any positive number, the additive inverse is the same number, but negative, and vice versa. So, the additive inverse of -1.4 is 1.4 since -1.4 + 1.4 = 0.
It is the same as an integer: a counting number, its additive inverse or zero.
It is the same as an integer: a counting number, its additive inverse or zero.
additive inverse
It is the same number without the negative sign.
We are talking group theory here. A group with addition has an additive inverse. A group with multiplication has a multiplicative inverse. The additive inverse of a number x is a y with x + y = 0. The additive inverse of x is written -x. Hence, the additive inverse of 9.1 equals -9.1. The reason that this question can arise is that beyond groups, there are rings and fields. Rings and fields have, besides addition, also multiplication. An element can have an additive inverse and a multiplicative inverse at the same time.