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Definition of Ordered Pair explained with real life illustrated examples. Also learn the facts to easily understand math glossary with fun math worksheet online at SplashLearn. SplashLearn is an award winning math learning program used by more than 40 Million kids for fun math practice.
ordered pair | Math Goodies Glossary. An ordered pair is a pair of numbers used to locate a point on a coordinate plane; the first number tells how far to move horizontally and the second number tells how far to move vertically.
Ordered pairs are a crucial part of graphing, but you need to know how to identify the coordinates in an ordered pair if you're going to plot it on a coordinate plane. In this tutorial, you'll see how to identify the x-coordinate in an ordered pair!
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Two ordered pairs are said to be equal if and only if the corresponding 1st components and 2nd components are equal. In case their corresponding components are not equal, then the ordered pairs are not equal. It means (a, b) ≠ (b, a) as their 1st, 2nd components are not equal. For example, two ordered pairs (x, y) and (m, n) are equal if x = m and y = n. Both the elements of an ordered pair can be the same but they are not equal.
Example 1: Calculate the values of a and b if two ordered pairs (a, b) and (7, 8) are equal. Solution: Given two ordered pairs are (a, b) and (7, 8) Two ordered pairs are equal means their corresponding elements are also equal. So, 1st components are equal, second components are equal. a = 7 and b = 8. Example 2: If (2x + 5, – 7) = (10, 16), then find the values of x and y. Solution: Given that, (2x + 5, – 7) = (10, 16) Two ordered pairs are equal means their corresponding first components and second components are equal. So, 2x + 5 = 10 and – 7 = 16 2x = 10 – 5 and = 16 + 7 2x = 5 and = 23 x = and y = 23 x 2 x = and y = 46 Example 3: Find the values of a, b if both ordered pairs (3a, 3) and (5a – 4, b + 1) are equal. Solution: Given two ordered pairs are (3a, 3), (5a – 4, b + 1) Two ordered pairs are equal means their corresponding first components and second components are equal. So, Equate 1st components 3a = 5a – 4 5a – 3a – 4 = 0 2a = 4 a = a = 2 Equate second components 3 = b...
1. What is an ordered pair in the sets? An ordered pair has a pair of elements that are placed in a particular order and enclosed in brackets. There are formed while doing the cross product of sets. 2. What is the structure of an ordered pair? The structure of an ordered pair is (a, b). Where a is the 1st component, b is the 2nd component of the ordered pair and a ∈ A, b ∈ B. 3. How to say 2 ordered pairs are equal? Two ordered pairs are equal only when their corresponding component values are equal. The ordered pair (x, y) is equal to (a, b) means x = a and y = b.
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Definition Of Ordered Pair. A pair of numbers used to locate a point on a coordinate plane is called an ordered pair. An ordered pair is written in the form (x, y) where x is the x-coordinate and y is the y-coordinate. More About Ordered Pair. In three-dimensional cordinates, (x, y, z) gives the location of a point. It is called an ordered triple.