Search results
- A pair of quantities (a, b) where ordering is significant, so (a, b) is considered distinct from (b, a) for a!=b.
mathworld.wolfram.com › OrderedPair
People also ask
What is ordered pair?
What is an ordered pair of whole numbers?
What does the first number of an ordered pair mean?
What is an ordered ellipse in math?
In math, an ordered pair is a pair of two elements ( numbers or variables or combination of both number and variable) that is of the form (x, y) where the order of the elements x and y is important. It means (x, y) may/may not be equal to (y, x).
- 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...
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. (In contrast, the unordered pair { a, b } equals the unordered pair { b, a }.)
Aug 15, 2023 · Ordered Pairs of Whole Numbers. The construct ( x, y ), where x and y are whole numbers, is called an ordered pair of whole numbers. Examples of ordered pairs of whole numbers are (0, 0), (2, 3), (5, 1), and (4, 9).
Jul 18, 2022 · Definition: Ordered Pairs. Ordered pairs are pairs of numbers used to locate a point in the rectangular coordinate plane and written in the form (x, y) ( x, y), where x is the x-coordinate and y is the y-coordinate.
Explore the concept of numerical patterns, focusing on how to generate, identify, and graph these patterns on a coordinate plane. Understand the relationships between corresponding terms in two different patterns and how these relationships can be represented as ordered pairs. Created by Sal Khan.
- 5 min
- Sal Khan
Cartesian Coordinates. Illustrated definition of Ordered Pair: Two numbers written in a certain order. Usually written in parentheses like this: (12,5) Which...
