9514 1404 393
Answer:
additive inverse
Explanation:
The equation shows that the sum of a number and its additive inverse is zero. This is the additive inverse property.
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Additional comments
This property is used, together with the identity property of addition, to solve equations by making terms disappear where you don't want them.
Example:
x + 1 = 3
We would like to remove the +1 in order to find the value of x. Using the additive inverse property, we add the additive inverse of +1 to both sides of the equation.
x +1 -1 = 3 -1
The additive inverse property tells us the sum of +1 and -1 is zero, so this becomes ...
x +0 = 2
The additive identity property tells us the sum of x and 0 is simply x, so ...
x = 2