Math Problem Statement

How do you find the additive inverse of number? give an example of a number and its additive inverse.

Solution

The additive inverse of a number is what you add to that number to get zero. For any real number xx, its additive inverse is x-x. In other words, the additive inverse of a number is the number with the opposite sign.

Example:

Let's consider the number 77.

  • The additive inverse of 77 is 7-7, because 7+(7)=07 + (-7) = 0.

Another Example:

For a negative number like 4-4:

  • The additive inverse of 4-4 is 44, because 4+4=0-4 + 4 = 0.

Would you like to go into more detail or have any questions?

Here are five related questions to explore:

  1. What is the additive inverse of a fraction like 35\frac{3}{5}?
  2. How does the concept of additive inverse apply to complex numbers?
  3. Can a number have more than one additive inverse?
  4. What is the relationship between the additive inverse and the absolute value of a number?
  5. How is the additive inverse used in solving linear equations?

Tip: Remember, the additive inverse always changes the sign of the number but not its magnitude!