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A number line is a visual representation of numbers along a straight line. Each point on the line corresponds to a number, with increasing values as you move from left to right. Starting with zero in the center, positive numbers are placed to the right of zero, and negative numbers are to the left.
For instance, on a number line, -5 is placed to the left of -2, which shows that -5 is less than -2. This visual tool is essential for comparing numbers, especially when working with negative numbers. By visualizing the numbers on the number line, it becomes clear which number is smaller or larger.
Key takeaway: If one number is to the left of another on the number line, it is smaller.

In mathematics, inequality symbols play a crucial role in comparing the sizes of two numbers. The symbol '<' means 'less than', and the symbol '>' means 'greater than.' For example:

• When we write -5 < -2, it means -5 is less than -2.
• When we write -2 > -5, it means -2 is greater than -5.

When comparing negative numbers, remember that a larger negative number is actually smaller. For instance, -5 is larger in magnitude compared to -2 but is smaller in value because it is more negative.
Understanding these symbols and their meanings helps us correctly interpret and solve inequalities.

Negative numbers are numbers less than zero. They are often used to represent values below a baseline, such as temperatures below freezing or elevations below sea level. On the number line, negative numbers are to the left of zero.
When comparing negative numbers, a number with a smaller absolute value is actually more significant. For example, -2 is greater than -5 even though 2 is less than 5 because -2 is closer to zero.
By understanding the placement and significance of negative numbers on the number line, we can easily compare and contrast their values. For example, in the inequality -5 < -2, -5 is on the left of -2 on the number line, making it less than -2.
This fundamental understanding of negative numbers helps prevent common mistakes in inequality comparisons.