Introduction:
In mathematics, irrational numbers are numbers that cannot be expressed as a simple fraction, and their decimal representations are non-terminating and non-repeating. Plotting irrational numbers on a number line can help us visualize their position and better understand their relationship with other numbers.

Steps to plot irrational numbers on a number line:
- Start by identifying the irrational number you want to plot on the number line.
- Locate the nearest integers or whole numbers on the number line.
- Estimate the position of the irrational number between the two whole numbers based on its value.
- Mark the approximate position of the irrational number on the number line.
- Use a ruler to draw a line segment from the marked point to the nearest whole number.
- Label the point representing the irrational number on the number line.

Importance of plotting irrational numbers:
- Visual representation helps in understanding the magnitude of irrational numbers.
- It provides a clear visual depiction of the relationship between rational and irrational numbers.
- Helps in comparing and ordering irrational numbers.

Video demonstration:
To further understand and visualize the process of plotting irrational numbers on a number line, you can watch the educational video provided by EduRev. The video will guide you through the steps and demonstrate the process in a clear and concise manner.
By following these steps and watching the video demonstration, you can enhance your understanding of irrational numbers and how they can be plotted on a number line effectively.