They equal zero.
zero pair
If we define "opposite" as the additive inverse, the sum is zero.
Never.
This is not the case. The word opposite can be defined many ways mathematically, but generally indicates either the additive or multiplicative inverse. In most cases, opposite is defined as the addictive inverse. Thus, the sum of a number and its opposite is 0, based on the definition of opposite.
Zero can be expressed as the sum of any two opposite mixed number.
If the opposite is meant to be the additive opposite and not the multiplicative opposite, then their sum is zero. The reason is that is what defines an additive opposite!
If by "opposite" you mean "additive inverse", the sum is zero. For example, 5 + (-5) = 0.
The additive inverse property states that if you add a number and it's opposite the sum is zero. copy-ed from "ashby" your welcome C:
Because that is how its additive inverse is defined!
𝗔𝗻𝘀𝘄𝗲𝗿: In mathematics, the opposite of a number is its additive inverse. The opposite of 15 would be the number that, when added to 15, yields a sum of zero. Therefore, the opposite of 15 is -15.
I assume you mean the additive inverse. The sum of any number and its additive inverse is zero. For example, 7 + (-7) = 0.