One-Dimensional

One-dimensional refers to a system or object that exists or operates in a single dimension. In mathematics, it typically refers to a line or a sequence of points that can be represented on a straight line.

Key Concepts

1. Dimension: In one-dimensional space, there is only one coordinate axis, typically represented as the x-axis. Points are located along this axis, and their positions are described using a single coordinate.

2. Number Line: The number line is a visual representation of one-dimensional space. It extends infinitely in both directions and can be used to represent positive and negative numbers, fractions, and decimals.

3. Distance: In one-dimensional space, the distance between two points is simply the absolute value of the difference between their coordinates on the number line.

Examples

Example 1: Plotting Points on a Number Line

To represent the point with coordinate 3 on the number line, we can place a dot at the position corresponding to 3 on the x-axis.

Example 2: Finding the Distance Between Two Points

If we have two points A and B with coordinates 5 and 2, respectively, the distance between them is |5 - 2| = 3 units.

Practice Problems

1. Plot the points with coordinates -2, 0, 4, and -1 on a number line.

2. Calculate the distance between the points with coordinates 7 and -3.

Study Tips

- Familiarize yourself with the concept of the number line and how points are represented on it.

- Practice plotting points and finding distances on a number line to reinforce your understanding of one-dimensional space.

- Pay attention to the sign of coordinates when calculating distances between points.