Question

fill in the blanks
the sum of two opposite numbers is -------​

Answer 1

The sum of two opposite numbers who are additive inverse of each other is always Zero.

Answer 2

SOLUTION

TO FILL IN THE BLANK

The sum of two opposite numbers is ____

EVALUATION

First we know what is opposite number

For any given number the opposite number of the number is the additive inverse of the number

We know that 0 is the additive identity

Let N be any number and M be the additive inverse of N

So by the property of additive inverse

N + M = 0 = M + N

Now N + M = 0 gives M = - N

More precisely for any given number the additive inverse is the number that when added to the given number will result zero

So from above we can conclude that additive inverse or opposite number of N is - N

Thus for a given number N the opposite number of N is - N

Sum of the two opposite numbers

= N + ( - N )

= N - N

= 0

FINAL ANSWER

The sum of two opposite numbers is 0

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