1. What is Additive Inversion?

Additive inversion is a mathematical operation that finds the opposite of a given number. For any number \( a \), its additive inverse is \( -a \), such that \( a + (-a) = 0 \).

2. How Does the Calculator Work?

The calculator uses the additive inversion formula:

Where:

• \( Number \) — The input number for which to find the additive inverse

Explanation: The operation simply changes the sign of the input number (positive becomes negative, negative becomes positive).

3. Importance of Additive Inverse

Details: Additive inverses are fundamental in mathematics, particularly in solving equations, working with integers, and understanding algebraic structures like groups and fields.

4. Using the Calculator

Tips: Enter any real number (positive, negative, decimal, or whole number) and click calculate to find its additive inverse.

5. Frequently Asked Questions (FAQ)

Q1: What is the additive inverse of zero?
A: Zero is its own additive inverse since 0 + 0 = 0.

Q2: Can additive inverse be applied to fractions?
A: Yes, the additive inverse works for all real numbers including fractions and decimals.

Q3: How is additive inverse different from multiplicative inverse?
A: Additive inverse gives the number that sums to zero, while multiplicative inverse gives the number that multiplies to one.

Q4: What are practical applications of additive inverses?
A: Used in accounting (debits/credits), physics (opposite forces), and computer science (two's complement representation).

Q5: Does additive inverse work for complex numbers?
A: Yes, for a complex number a + bi, the additive inverse is -a - bi.