They are the elements from the first set in the original Carestian product. For example, if you make ordered pairs on an x-y plane, then they are the elements of the set X.
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An ordered pair has to be in parentheses and there has to be a comma in between the numbers (example: (2,6). An ordered pair is for a coordinate graph.
Because otherwise it would not be an "ordered" pair.
In the ordered pair (a, b), the object a is called the first entry, and the object b the second entry of the pair. Alternatively, the objects are called the first and second coordinates, or the left and right projections of the ordered pair.
An ordered pair can contain any valid numbers - integers, fractions, decimals, or even complex numbers.
The pair (2, 3) is the same as the pair (3, 2) but the ORDERED pair (2, 3) is NOT the same as the ORDERED pair (3, 2). In an ordered pair the order of the numbers does matter.