Yes, by definition, always. e.g 4 + -4 = 0
zero pair
They equal zero.
If we define "opposite" as the additive inverse, the sum is zero.
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:
false http://www.mathleague.com/help/posandneg/posandneg.htm
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.
The sum of a number and its negative (additive inverse) is zero. For any nonzero value n, n + (-n) = 0
I assume you mean the additive inverse. The sum of any number and its additive inverse is zero. For example, 7 + (-7) = 0.