Integers on a number line follow specific rules regarding their placement and order relative to zero.
Here's a breakdown of these rules:
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Definition: Integers are whole numbers (not fractions) that can be positive, negative, or zero.
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Number Line Representation: Integers are plotted on a number line at equal intervals.
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Zero as the Reference Point: The position of an integer on the number line is relative to zero.
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Positive Integers: According to the reference, positive integers are always plotted to the right of zero. As you move further to the right, the value of the positive integer increases.
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Negative Integers: Conversely, negative integers are always plotted to the left of zero. As you move further to the left, the value of the negative integer decreases (e.g., -5 is less than -2).
Here's a simple table summarizing the rules:
| Integer Type | Location on Number Line | Value Relative to Zero | Example |
|---|---|---|---|
| Positive | Right of Zero | Greater than Zero | +1, +2, +3, ... |
| Negative | Left of Zero | Less than Zero | -1, -2, -3, ... |
| Zero | At Zero | Neither Positive nor Negative | 0 |
Example:
Imagine a number line.
- The number
3would be located 3 units to the right of zero. - The number
-2would be located 2 units to the left of zero.
