Q:

Which statement about the sum of two additive inverses is true? Select all that apply.A. The sum is 1.B. The sum is zero.C. The sum must be a positive number.D. The sum must be a negative number.E. The addends are the same number with opposite signs.F. The addends are the same number with the same signs.

Accepted Solution

A:
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, EAnswer:Option B, E