What is an ordered pair simple definition?

What is an ordered pair simple definition?

In mathematics, an ordered pair (a, b) is a pair of objects. The order in which the objects appear in the pair is significant: the ordered pair (a, b) is different from the ordered pair (b, a) unless a = b. For example, the ordered triple (a,b,c) can be defined as (a, (b,c)), i.e., as one pair nested in another.

Why is it called an ordered pair?

Why is an ordered pair called an ordered pair? Because order is important! If an ordered pair is written in a different order, it makes a different ordered pair.

How do you know if its a ordered pair?

An ordered pair contains the coordinates of one point in the coordinate system. A point is named by its ordered pair of the form of (x, y). The first number corresponds to the x-coordinate and the second to the y-coordinate. To graph a point, you draw a dot at the coordinates that corresponds to the ordered pair.

What is an ordered pair examples?

An ordered pair is a pair of numbers in a specific order. For example, (1, 2) and (- 4, 12) are ordered pairs. The order of the two numbers is important: (1, 2) is not equivalent to (2, 1) — (1, 2)≠(2, 1).

What do you call the first element of an ordered pair?

We call the first element of an ordered pair the first coordinate, and we call the second element of an ordered pair the second coordinate. To use ordered pairs to represent a function, we let the inputs be the first coordinates and the outputs be the second coordinates.

What is the order of a ordered pair?

An ordered pair is a composition of the x coordinate (abscissa) and the y coordinate (ordinate), having two values written in a fixed order within parentheses. In the Cartesian plane, we define a two-dimensional space with two perpendicular reference lines, namely x-axis and y-axis.

What ordered pair examples?

Which ordered pair is not a function?

In order for a relation to be a function, each x must correspond with only one y value. If an x value has more than one y-value associate with it — for example, in the relation {(4, 1), (4,2)}, the x-value of 4 has a y-value of 1 and 2, so this set of ordered pairs is not a function.

What do you mean by ordered pair Class 9?

Ordered Pair Definition. An ordered pair is the combination of coordinates which are x coordinate (abscissa) and y coordinate (ordinate). The ordered pair is helpful to locate a point on the two-dimensional coordinate graph for better visual comprehension.

What is an ordered pair Class 11?

By ordered pair, it is meant that two elements taken from each set are written in particular order. So, if a ≠ b , ordered pairs (a,b) and (b,a) are distinct.

What is the second element in an ordered pair called?

In mathematics, a relation is any collection of ordered pairs. The set of all such ordered pairs formed by taking the first element from the set A and the second element from the set B is called the Cartesian product of the sets A and B, and is written A × B.

What is the second element of an ordered pair?

An ordered pair consists of two elements separated by a comma and enclosed in parentheses. We call the first element in an ordered pair the first coordinate, and we call the second element in an ordered pair the second coordinate.

What is an ordered pair?

– Definition, Facts & Examples An ordered pair is a composition of the x coordinate (abscissa) and the y coordinate (ordinate), having two values written in a fixed order within parentheses. It helps to locate a point on the Cartesian plane for better visual comprehension. The numeric values in an ordered pair can be integers or fractions.

What is the value of P in the ordered pair?

As per the definition of ordered pair, the point P will be written as: 1 P = (6, 4) 2 The first number in the ordered pair shows the distance from “x” axis which is 6 3 The second number in the ordered pair shows the distance from “y” axis which is 4

What are ordordered pairs of scalars called?

Ordered pairs of scalars are sometimes called 2-dimensional vectors. (Technically, this is an abuse of terminology since an ordered pair need not be an element of a vector space .) The entries of an ordered pair can be other ordered pairs, enabling the recursive definition of ordered n -tuples (ordered lists of n objects).

How does coordinate geometry use ordered pairs?

The coordinate geometry uses ordered pairs to represent geometric figures and objects in an open space for visual comprehension. Geometric shapes like circle, triangle, square, rectangle and polygons use the ordered pairs to represent the center, vertices and the length of the sides with coordinates.