What is the Ordinate?

S6-SA1-0091

Grade Level:

Class 10

AI/ML, Physics, Biotechnology, Space Technology, Chemistry, Engineering, Medicine

Definition

What is it?

The ordinate is simply the y-coordinate of a point in a Cartesian coordinate system. It tells you the vertical distance of that point from the x-axis. Think of it as how 'high' or 'low' a point is on a graph.

Simple Example

Quick Example

Imagine you are tracking the price of a plate of samosas at your favourite chai shop over a week. If you plot the day on the x-axis and the price on the y-axis, then the price on any given day would be the ordinate for that day.

Worked Example

Step-by-Step

Let's find the ordinate of the point P(5, 8).
--- The given point is P(5, 8).
--- In a coordinate pair (x, y), the first number is the x-coordinate (abscissa) and the second number is the y-coordinate (ordinate).
--- Here, 5 is the x-coordinate and 8 is the y-coordinate.
--- Therefore, the ordinate of the point P(5, 8) is 8.
--- Answer: The ordinate is 8.

Why It Matters

Understanding the ordinate is key in fields like AI/ML for plotting data, in Physics for tracking object motion, and in Engineering for designing structures. Scientists at ISRO use it to plot satellite trajectories, while doctors use it to analyse patient data on graphs.

Common Mistakes

MISTAKE: Confusing ordinate with abscissa (x-coordinate). | CORRECTION: Remember 'y' for ordinate (vertical) and 'x' for abscissa (horizontal).

MISTAKE: Thinking the ordinate is always positive. | CORRECTION: The ordinate can be positive, negative, or zero, depending on whether the point is above, below, or on the x-axis.

MISTAKE: Writing the ordinate as a coordinate pair instead of a single value. | CORRECTION: The ordinate is just the y-value, not (0, y) or (x, y). For P(2, -3), the ordinate is -3.

Practice Questions

Try It Yourself

QUESTION: What is the ordinate of the point A(7, -4)? | ANSWER: -4

QUESTION: A point M is located at (-2, 0). What is its ordinate? | ANSWER: 0

QUESTION: If a point has an abscissa of 3 and its ordinate is double its abscissa, what are the coordinates of the point? What is its ordinate? | ANSWER: The abscissa is 3. The ordinate is double the abscissa, so 2 * 3 = 6. The coordinates are (3, 6). The ordinate is 6.

MCQ

Quick Quiz

Which of the following points has an ordinate of 5?

(5, 2)

(-3, 5)

(5, 0)

(5, 5)

The Correct Answer Is:

The ordinate is the y-coordinate. In option B, (-3, 5), the y-coordinate is 5. In options A, C, and D, 5 is the x-coordinate or both.

Real World Connection

In the Real World

When you use a ride-hailing app like Ola or Uber, the app plots your current location and destination on a map. The map uses a coordinate system, and the 'height' or 'north-south' position of your car on that map is essentially its ordinate. Similarly, weather apps plot temperature changes over time, where temperature is often the ordinate.

Key Vocabulary

Key Terms

CARTESIAN COORDINATE SYSTEM: A system using perpendicular number lines (axes) to locate points in a plane | X-AXIS: The horizontal number line in a coordinate system | Y-AXIS: The vertical number line in a coordinate system | ABSCISSA: The x-coordinate of a point | COORDINATES: A pair of numbers (x, y) that specifies the location of a point

What's Next

What to Learn Next

Now that you understand the ordinate, you're ready to explore the abscissa and how both combine to form coordinate pairs. Next, you can learn about plotting points and understanding different quadrants on a graph. Keep up the great work!