An ordered pair is a pair of numbers, in cases where the order is relevant. Often used to indicate coordinates. Also, in general, to create new (larger) sets out of existing sets, in a process known as "Cartesian product"
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The abscissa is another word for the first coordinate in an ordered pair.
The symbol for an ordered pair is (x,y).
The inverse of an ordered pair (a,b) is the pair (b,a). So you simply switch the order.
An ordinate is the "y" co-ordinate of an ordered pair. e.g. in (3,4), 4 is the ordinate. If you are interested the "x" part is called the abscissa.
The second number in an ordered pair (x,y) is the y-coordinate for that point.