🔑 Key Concepts
- Numbers to the right on a number line are greater.
- Numbers to the left on a number line are smaller.
- Negative numbers farther from zero have smaller values.
- Any negative integer is always less than any positive integer.
- Absolute value represents distance from zero.
✏️ Worked Examples — Comparing Integers and Absolute Values
💡 Main Idea
Comparing integers becomes easier when you visualize numbers on a number line. Numbers farther to the right are greater, and numbers farther to the left are smaller. Negative numbers that are farther below zero have smaller values. Absolute value helps us understand distance from zero, which is useful when comparing how far numbers are from the origin.
📚 What You Should Already Know
You should know how to locate integers on a number line and understand that zero separates positive numbers from negative numbers.
🚀 What Comes Next
Next, students will apply these comparison skills when ordering integers, solving inequality problems, and working with coordinate planes and distance using absolute value.