ORDERED PAIR
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.
The ordered pair (5, -2) means the point is located 5 units right and 2 units down the origin.
The point of intersection of the x- and y- axes is called the origin. The ordered pair that describes the origin is (0, 0).
Examples of Ordered Pair
Following are some examples of ordered pairs.
(5, -2), (0, 0), (2, 5), (0.3, - 0.7)
Video Examples: Ordered Pair
Solved Example on Ordered Pair
Ques: Graph the ordered pair (- 4, 3) on the coordinate plane and call it A.
Choices:
A. Graph 1
B. Graph 2
C. Graph 3
D. Graph 4
Correct answer: A
Solution:
Step 1: Start at the origin.
Step 2: The x-coordinate of the given ordered pair is - 4. So, move 4 units to the left of the y-axis.
Step 3: The y-coordinate of the given ordered pair is 3. So, move 3 units up from the x-axis.
Step 4: Draw a dot and label it A. The graph would look like the one below.
Step 5: Among the given graphs, Graph 1 matches with our graph.
Quick Summary
- Ordered pairs are written in the form (x, y).
- The first number (x) indicates the horizontal position, and the second number (y) indicates the vertical position.
- The origin is the point (0, 0).
🍎 Teacher Insights
Use graph paper to help students visualize the coordinate plane. Start with simple examples and gradually increase the complexity. Emphasize the importance of order in ordered pairs.🎓 Prerequisites
- Basic arithmetic
- Understanding of number lines
- Positive and negative numbers
Check Your Knowledge
Q1: Which ordered pair represents the origin?
Q2: In the ordered pair (3, -4), which number represents the y-coordinate?
Frequently Asked Questions
Q: What does (5, -2) mean?
A: It means the point is located 5 units to the right of the origin and 2 units down from the origin.
Q: What is an ordered triple?
A: An ordered triple (x, y, z) represents a point in three-dimensional space.