A number is called an opposite number of another number if . By definition, is the opposite number of . For example, is the opposite number of and vice-versa. This is because
Opposite numbers are also known as additive inverses.
The opposite numbers satisfy the properties listed below.
- The opposite of 0 is 0.
- Two opposite numbers have the same absolute value. This follows from the fact that the is the opposite number of and both have the same absolute value .
- The opposite of a positive number is the negative version of the number. The opposite of a negative number is the positive version of the number.
- opposite numbers are located in the opposite direction on a number line having the same distance from the origin. That is, they are symmetric about the origin on a number line.
- The sum of two opposite numbers is always zero, because
- The division of two non-zero opposite numbers is always , because
- Each number has a unique opposite number.
Related pages change
- Weisstein, Eric W. "Additive Inverse". mathworld.wolfram.com. Retrieved 2020-08-27.
- "Additive Inverse". www.learnalberta.ca. Retrieved 2020-08-27.
- Ghosh, N. (6 February 2022). "Opposite Numbers: Definition, Examples, and Properties". Mathstoon. Retrieved 6 February 2022.