Additive Inverse – Explanation, General Formula, Solved Examples, and FAQs

What is an Additive Inverse?

Additive Inverse- General Formula: An additive inverse is a mathematical operation that reverses the effect of addition. It is the opposite of addition, and is symbolized by the symbol “-“. For example, if 4 + 3 = 7, then 3 – 4 = -1.

• An additive inverse is a number that, when multiplied by a given number, results in the original number. For example, the additive inverse of 3 is -3, because 3 multiplied by -3 equals 0.

What is the General Formula of Additive Inverse of a Number?

• The additive inverse of a number is the number that, when added to the original number, results in zero. For example, the additive inverse of 5 is -5, because 5 + (-5) = 0. The general formula for the additive inverse of a number is:
• -n = the additive inverse of n

Additive Inverse Number of Complex Number

• A complex number is the sum of a real number and an imaginary number. The real number is the part that is located on the x-axis, and the imaginary number is the part that is located on the y-axis. The imaginary number is always written with a capital “I” and is always squared. For example, the complex number 3 + 5i is written as (3, 5).
• The additive inverse of a complex number is the complex number that is the opposite of the original number. For example, the additive inverse of 3 + 5i is -3 – 5i. To find the additive inverse of a complex number, simply switch the sign of the imaginary number.

Additive Inverse of Rational Number

• The additive inverse of a rational number is the opposite of the number when it is added to itself.
• The additive inverse of 2 is -2.
• The additive inverse of -5 is 5.
• A rational number is a number that can be expressed as the quotient of two integers, and additive inverse of a rational number is the number that, when added to the original number, results in 0. For example, the additive inverse of 3/4 is 1/4, because 3/4 + 1/4 = 0.