The sum of a number and its opposite would be zero. Example: 8 + -8 (since it's easier to not use double signs i'll write it this way) 8 - 8 = 0.
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Because by definition, there sum will always be zero. Because the definition of opposites are additive inverses.
It is zero and that is simply because that is how additive opposites are defined.
Zero
The term SUM means add and DIFFERRENCE means subtract. They are opposites.
"Opposites" cannot mean additive opposites since, by definition, their sum must be 0. So "opposites" is likely to mean multiplicative opposites. This gives the equation x + 1/x = 100 Then the two numbers are 0.010010 and 99.989999 to 6 dp.