Mike says that the opposite of 5 is -5 and the absolute value of 5 is -5, is he correct? justify your answer.

The sum of opposite numbers equals zero (the additive identity)
5 + -5 = 0 so the opposite of 5 is -5

The absolute value of a number is the positive distance it lies from zero on a number line.
The absolute value of 5 is 5, so Mike is not correct in his second statement.

Strangely if you swapped the two numbers then both parts would be correct:
The opposite of -5 is 5 and the absolute value of -5 is 5.

The first one, i believe, would be correct. all the others have one thing in common, and that's that they have repeating numbers. in the second one, x and y have repeating 6's and 3's, and in the third, x and y have repeating 6's as well. in the last one, there are repeating 3's. the first one has no repeating numbers.