For this case we have that by definition, the additive inverse of a number is one that when the sign is changed and added to the original number, results in zero. That is, the additive inverse of a number "x" is its opposite "-x.
[tex]x+(-x)=x-x=0[/tex]
Example:
The additive inverse of 4 is -4. We have to [tex]4 + (- 4) = 0[/tex]
Thus, the correct options are:
Option B, E
Answer:
Option B, E
Answer: B. The sum is zero.
E. The addends are the same number with opposite signs.
Step-by-step explanation:
The additive inverse is a number that if added to a given number results zero.
i.e. if a+b=0 then a is additive inverse of b or b is additive inverse of a.
i.e. a=-b or b=-a
i.e. The addends are the same number with opposite signs. (*)
By the definition of additive inverse , statement A . is wrong.
Statement B. is true.
Statement C. and D. are wrong because zero is neither positive or negative.
Statement E . is true. [From (*)]
Statement F is false . [From (*)]
So the correct statements are :
B. The sum is zero.
E. The addends are the same number with opposite signs.
