What is an example of an ordered pair?

What is an example of an ordered pair?

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 is ordered pair in Cartesian plane?

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 is an ordered pair in math?

An ordered pair is a pair of numbers, (x,y) , written in a particular order. The ordered pair (x,y) is not the same ordered pair as (y,x) .

What is an ordered pair called?

Ordered pairs are also called 2-tuples, or sequences (sometimes, lists in a computer science context) of length 2. Ordered pairs of scalars are sometimes called 2-dimensional vectors.

What is pair set with example?

In mathematics, an unordered pair or pair set is a set of the form {a, b}, i.e. a set having two elements a and b with no particular relation between them, where {a, b} = {b, a}. In contrast, an ordered pair (a, b) has a as its first element and b as its second element, which means (a, b) ≠ (b, a).

What is 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.

How do you find 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.

Is 3/5 an ordered pair?

The answer should be the ordered pair (3,5) .

How do you find the ordered pair of a set?

The pair of elements that occur in a particular order and are enclosed in brackets is known as a set of ordered pairs. If ‘a’ and ‘b’ are two elements, then the two different pairs are (a, b), (b, a). In an ordered pair (a, b), a is called the first element and b is called the second element.

Why is an ordered pair 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.

What is the Cartesian product of two ordered pairs?

For two ordered pairs to be equal, their corresponding elements must be equal. E.g. If ordered pairs (9,13) and (x+3 , y+6) are equal, The Cartesian product of sets is not limited to only two sets. It also holds for more than two sets. But the complexity increases as we increase the number of sets.

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.

How do you find ordered pairs on the coordinate plane?

To every set of points in the coordinate plane there also corresponds a set of ordered pairs. Example 3 Find the set of ordered pairs corresponding to each of the following sets of points. Algebraic expressions such as 2 x+3 y-1, x2-3 xy+2 y2 and x-3 yxy contain two variables.

What is a Cartesian plane?

Refer figure 1 for the depiction of the same. In the figure, we can clearly observe how forms a plane, also referred to as a Cartesian plane. Each point represents an ordered pair which has first element from set P and second element from set Q.