Question

What will be the additive inverse of a number whose multiplicative inverse is'-n'?

Answer 1

Answer:

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 (number),[1] sign change,[2] and negation.[3] 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. Zero is the additive inverse of itself.

The additive inverse of a is denoted by unary minus: −a (see also § Relation to subtraction below).[4][5] For example, the additive inverse of 7 is −7, because 7 + (−7) = 0, and the additive inverse of −0.3 is 0.3, because −0.3 + 0.3 = 0 .

Similarly, the additive inverse of a - b is -(a - b) which can be simplified to b - a. is The additive inverse of 2x - 3 is 3 - 2x, because 2x - 3 + 3 - 2x = 0.[6]

The additive inverse is defined as its inverse element under the binary operation of addition (see also § Formal definition below), which allows a broad generalization to mathematical objects other than numbers. As for any inverse operation, double additive inverse has no net effect: −(−x) = x.