Question

Write the integer, which is its own additive inverse.

Answer 1

Hint: When we add a number to the additive inverse of an integer, we get zero. For example, if we take the number ‘a’, and if we add the same number ‘a’ to itself, then it must be equal 0. We can also say that this number is the negation or opposite number.

Complete step-by-step solution:
The additive inverse is known to be the opposite or inverse component of the binary addition process, which enables a very wide range of mathematical artifacts, other than numbers to be considered. The unary minus: \[ - x\] represents the additive which is opposite of \[x\]. For example, if we take \[4 + ( - 4) = 0\], this shows that the additive inverse of \[4\] is \[ - 4\], and if we take \[2.9 + ( - 2.9) = 0\], this shows that the additive inverse of \[2.9\] is \[ - 2.9\].
The additive inverse reverses the sign of a real number or changes the sign opposite to the sign given. A positive number's additive inverse is always negative, and a negative number's additive inverse is always positive.
As a result, since \[0 + 0 = 0\], then the integer that is its own additive inverse should be Zero.
Therefore, we found out that the integer zero is its own additive inverse.

Note: The additive inverses can be two numbers which are getting added up to get zero. The additive inverses have certain properties as well. It shows us how the sign changes when these numbers are multiplied, or added up, or get subtracted, or get divided.