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There is not much to prove there; opposite numbers, by which I take you mean "additive inverse", are defined so that their sum equals zero.
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Related questions
What do you get when you add opposites?
Zero
What are the set of numbers and their opposites?
A zero pair
What is the set of counting numbers and their opposites?
The answer depends on what is meant by "their opposites". If you mean additive opposites then the set is of all non-zero integers.
What is the sum of two integers that are opposites justify the answer?
It is zero and that is simply because that is how additive opposites are defined.
What is the sum of two opposites combined in math?
Zero
What do you know about two different integers that are opposites?
Their total is zero.
Why is the sum of two opposites easy to calculate?
Because by definition, there sum will always be zero. Because the definition of opposites are additive inverses.
Two numbers that are an equal distance from zero on a number line?
opposites
The set of numbers that includes the natural numbers their opposites and zero?
These are the integers.
What property says that when you add opposites you get zero?
additive inverse property
Who are size zero models?
"Size zero models" are used to describe female models that are able to fit into a size zero clothing (dress, pants, shirts,etc.).
What will happen if you add a pair of opposites together?
adding one to minus one = zero.
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