1. What is the Additive Inverse?

The additive inverse of a number is a value that, when added to the original number, results in zero. For any number \( a \), its additive inverse is \( -a \).

2. How Does the Calculator Work?

The calculator uses the additive inverse formula:

Where:

• \( number \) — Any real number

Explanation: The additive inverse is simply the negative of the original number. For example, the additive inverse of 5 is -5, and the additive inverse of -3 is 3.

3. Importance of Additive Inverse

Details: Additive inverses are fundamental in mathematics, particularly in algebra and arithmetic. They are essential for solving equations, simplifying expressions, and understanding the properties of numbers in various mathematical operations.

4. Using the Calculator

Tips: Enter any real number (positive, negative, integer, or decimal) in the input field. The calculator will compute and display its additive inverse.

5. Frequently Asked Questions (FAQ)

Q1: What is the additive inverse of zero?
A: The additive inverse of zero is zero itself, since 0 + 0 = 0.

Q2: Does every number have an additive inverse?
A: Yes, every real number has an additive inverse.

Q3: What's the difference between additive inverse and multiplicative inverse?
A: Additive inverse results in zero when added to the original number, while multiplicative inverse results in one when multiplied by the original number.

Q4: Can fractions and decimals have additive inverses?
A: Yes, all real numbers including fractions and decimals have additive inverses.

Q5: How is additive inverse used in solving equations?
A: Additive inverses are used to isolate variables by adding the inverse to both sides of an equation to eliminate terms.