Additive Inverse of Complex Number

Complex number is represented in the form of Z = a ± ib where a is the real part, i is the iota and ib is the imaginary part. To find the Additive Identity of Complex Number we need to multiply the complex number by -1. In the additive inverse of the complex number, the symbol of both the real part and the imaginary part changes from positive to negative and vice versa. Let’s see some example

Example: Find the additive inverse of 2 + 3i

Additive Inverse of 2 + 3i is -1⨯(2 + 3i) = -2 -3i

Example: Find the additive inverse of -5 + 7i

Additive Inverse of -5 + 7i is -1⨯(-5 + 7i) = 5 – 7i

Additive Inverse

Additive Inverse of a Number is the number that when added to the original number, results in Zero. For example, Let’s take a number 5 then its additive inverse is -5 as when 5 is added to -5 their sum is zero.

In this article, we will learn about Additive Inverse Definition, Methods to Find Additive Inverse of a Number, Additive Inverse Formula, Related Examples and others in detail.

Table of Content

  • What is Additive Inverse?
  • Additive Inverse Property
  • Additive Inverse Formula
  • Additive Inverse of Real Numbers
  • Additive Inverse of Complex Number
  • Additive Inverse and Multiplicative Inverse
  • Additive Inverse of Algebraic Expression
  • Additive Inverse Example

Similar Reads

What is Additive Inverse?

Additive Inverse is the opposite of a number which when added to the number yields the sum to be zero. It simply means to convert a positive number to a negative and a negative number to a positive because we know that the sum of a positive number with its negative counterpart is zero....

Additive Inverse Property

Additive Inverse property states that if sum of any two numbers is zero then each number is said to be additive inverse of each other....

Additive Inverse Formula

Additive inverse of a number is the opposite in sign of any given number. Hence, additive inverse of a positive number is the negative version of the number itself and the additive inverse of a negative number is the positive version of the same number....

Additive Inverse of Real Numbers

Real Numbers are those numbers that can be represented on a real line. Additive inverse of a real number is the negative of the given real number. Real Number includes Natural Numbers, Whole Numbers, Integers, Fractions, Rational Numbers, and Irrational Numbers. Let’s see the additive inverse of each type of Real Number....

Additive Inverse of Complex Number

Complex number is represented in the form of Z = a ± ib where a is the real part, i is the iota and ib is the imaginary part. To find the Additive Identity of Complex Number we need to multiply the complex number by -1. In the additive inverse of the complex number, the symbol of both the real part and the imaginary part changes from positive to negative and vice versa. Let’s see some example...

Additive Inverse and Multiplicative Inverse

The two properties additive inverse and multiplicative inverse are often confusing. As the name suggests Additive inverse is applicable in case of addition while Multiplicative Inverse is applicable for multiplication....

Additive Inverse of Algebraic Expression

Additive Inverse Property is not only limited to numbers it is applicable to algebraic expressions as well. To find the additive inverse of an Algebraic Expression we need to multiply the expression with -1. Multiplying each term of an algebraic expression with -1, the sign of the term changes from positive to negative and vice versa such that each term cancel out the other and the net sum of the algebraic expression will be zero. Let’s see some examples...

Additive Inverse Example

Additive inverse of some very commonly used numbers are,...

Practice Questions on Additive Inverse

Some practice questions on Additive Inverse are,...

FAQs on Additive Inverse

Define Additive Inverse...

Contact Us