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Additive Inverse

In mathematics, the concept of an additive inverse, also known as a negative, is an important idea in understanding numbers and their relationships. An additive inverse is a number that, when added to a given number, results in a sum of zero. In other words, the sum of a number and its additive inverse is always zero. This concept is closely related to the idea of subtraction, as subtraction can be thought of as the process of adding a number’s additive inverse.

Definitions

• Additive inverse: A number that, when added to a given number, results in a sum of zero.
• Negative number: A number that is less than zero and is the additive inverse of a positive number.
• Positive number: A number that is greater than zero and is the additive inverse of a negative number.

5 Examples

1. The additive inverse of 5 is -5. When 5 is added to -5, the result is 0: 5 + (-5) = 0.
2. The additive inverse of -3 is 3. When -3 is added to 3, the result is 0: -3 + 3 = 0.
3. The additive inverse of 0 is 0. When 0 is added to 0, the result is 0: 0 + 0 = 0.
4. The additive inverse of 8 is -8. When 8 is added to -8, the result is 0: 8 + (-8) = 0.
5. The additive inverse of -9 is 9. When -9 is added to 9, the result is 0: -9 + 9 = 0.

10 Question Quiz

1. What is an additive inverse?
2. What is the result of adding a number to its additive inverse?
3. Is 0 considered a positive or negative number?
4. What is the additive inverse of 5?
5. What is the additive inverse of -3?
6. What is the additive inverse of 0?
7. What is the additive inverse of 8?
8. What is the additive inverse of -9?
9. Is the sum of a positive number and a negative number always zero?
10. Is the sum of a negative number and a positive number always zero?