From Ray to Line
Previously, we visualized numbers on a ray starting at 0 and going right. Now, we extend the line to the left to include negative numbers.
- Right of 0: Positive Integers (Forward direction).
- Left of 0: Negative Integers (Backward direction).
Comparing Integers
On the number line:
- Numbers to the Right are Larger.
- Numbers to the Left are Smaller.
Examples
- vs : is to the right of , so .
- vs : is to the right of , so .
- vs : Any negative number is to the left of 0, so .
Warning
Common Mistake: Do not ignore the sign! While is bigger than , is much smaller than . Imagine debt: owing ₹100 is worse (less money) than owing ₹1.