Question

Find the absolute value of 1 and - 1

Answer 1

The absolute value of BOTH of those numbers is ' 1 '.

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Oh !  Wait just a second.  Did you mean for the  1  and the  -1  to be combined
in some way  ?  If that's what you had in mind,  then you'll have to be more
specific.   "And" is no mathematical operation that I know of.

Answer 2

If you mean |1+-1| the answer is zero, but if you mean |1| |-1| those are each one.