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- An ordered pair refers to two numbers written in a certain order. We generally use ordered pairs in the context of coordinates of a point in a 2D plane. It helps to locate or plot a point easily on a Cartesian plane.
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What is the use of ordered pairs in real life? Ordered pairs are used in navigation, computer graphics, architecture, and more! Remember, like in a fun game, every point in the world of ordered pairs is an adventure.
- What Is An Ordered Pair?
- Ordered Pair: Definition
- Ordered Pair in Cartesian Plane
- How to Graph Points Using Ordered Pairs
- Ordered Pairs in Different Quadrants
- Cartesian Product and Ordered Pairs
- Equality Property of Ordered Pairs
- Conclusion
- Solved Examples on Ordered Pairs
An ordered pair refers to two numbers written in a certain order.We generally use ordered pairs in the context of coordinates of a point in a 2D plane. It helps to locate or plot a point easily on a Cartesian plane. To represent an ordered pair, the two numbers are written inside the parentheses, separated by a comma, like this: (x, y) Here, “x” is...
An ordered pair is a pair of elements or numbers written in a specific and fixed order. On a Cartesian plane, an ordered pair (x, y) is defined as the coordinatesof a point such that “x” is the x-coordinate and “y” is the y-coordinate. Ordered pair examples: (1,2), (-4, 5), (-9, -8)
The Cartesian plane is named after a French mathematician, René Descartes, who first introduced it. It is formed by the intersection of two perpendicular number lines (or axes). We call the horizontal axis the x-axis and the vertical axis the y-axis. The two axes intersect at the origin. An ordered pair represents the position of a point on the coo...
Step 1:Start with the first number “x” in the ordered pair or the x-coordinate. 1. If x is positive, move |x| units to the right of the origin. 2. If x is negative, move |x| units to the left of the origin. Mark this point. Step 2:Next, we will consider the second number in the ordered pair or the y-coordinate. We will move vertically up or down fr...
The x-axis (horizontal axis) and the y-axis (vertical axis) divide the Cartesian plane into 4 parts. Each of the 4 parts is known as a quadrant. The signs of x and y in an ordered pair (x, y) in a particular quadrant can be determined on the basis of the two number lines that form axes of the given quadrant. Similarly, you can easily identify in wh...
The cartesian product A B of two non-empty sets A and B is basically the collection of all ordered pairs (a, b) such that the first element “a” is from the set A and the second element “b” is from the set B. A×B={(a,b):a∈A,b∈B} Example: A={1,2},B={5,6} A×B={(1,5),(1,6),(2,5),(2,6)}
If two ordered pairs are equal, then their corresponding elements are also equal. This is known as the “equality property of ordered pairs.” If (x, y) = (a, b) then we can say that x = a and y = b. 1. If (x, y) = (1, 5) then x = 1 and y = 5. 2. If (a, b)= (c, d), then a = c and b = d. 3. If (x + 1, y +1) = (10, 12) then x + 1 = 10 and y + 1 = 12.
In this article, we learned about ordered pairs, their representation, ordered pairs on a Cartesian plane, ordered pairs in a Cartesian product, and equality property. Let’s look at a few solved examples and practice problems.
1. What does the ordered pair (5, –6) represent on the Cartesian plane? Solution: The first element of (5, -6) = x-coordinate = 5 It is positive. It means that the horizontal distance of the point from origin is 5 units to the right. The second element of (5, -6) = y-coordinate = -6 It is negative. It means that the vertical distance from origin is...
Ordered pairs are usually used in coordinate geometry to represent a point on a coordinate plane. Also, they are used to represent elements of a relation. Let us learn more about ordered pairs along with its definition, meaning, properties, and more.
Category theory. See also. References. Ordered pair. Analytic geometry associates to each point in the Euclidean plane an ordered pair. The red ellipse is associated with the set of all pairs ( x, y) such that x2 4 + y2 = 1. In mathematics, an ordered pair ( a, b) is a pair of objects.
Nov 21, 2023 · An ordered pair such as (3,-1), is a shorthand way of writing two variables, such as x = 3 and y = -1. The order of the numbers in the pair is important: x always comes before y.
4 days ago · An ordered pair is used to show the position on a graph, where the "x" (horizontal) value is first, and the "y" (vertical) value is second. Also in the co-ordinate system, ordered pair is used to locate a point. Pairs in math are denoted by (,) and are generally considered to be ordered.
Ordered pairs. In mathematics, an ordered pair is a set of two numbers usually written in the form (a, b). The order of the two numbers is important— (a, b) is different from (b, a) unless a equals b. Ordered pairs are commonly used to specify a location on a map or coordinate plane.
