|3|=3. The absolute value, or "modulus" operator, just removes the negative sign basically. It's actually defined by cases
|x|= { if x>0 then x
{ if x<0 then -x
Don't confuse this with cardinality from set theory.
NOTE: in the second case x is negative, for example -2, so multiplying it by a negative gives a positive, same example -(-2) = 2.
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3
The absolute value of an integer is the integer with no sign. The absolute value of +3 and -3 is 3.
3. Absolute value is the positive value of a number. If the number were 3, it would stay a positive three.
5
Order has to do with the relation of one number to another. Statements like a>b is an ordered statement. Absolute value is the distance that a number is from 0. So the absolute value of 3 is 3, and the absolute value of -3 is 3.