Integer comparison establishes that numbers farther to the right on a number line are greater, so every positive integer is greater than zero and every negative integer, while zero is greater than every negative integer. It includes interpreting and writing , , and , recognizing that among negative integers the one with smaller absolute value is greater, and applying these relationships to ordered values and coordinate-plane locations.
To compare integers, locate them on a number line. The integer farther to the right is greater.
Remember:
Example: Order , , , and from least to greatest.
Picture the numbers on a number line:
Start with the number farthest left. That is .
Move right. Next is , then , and finally .
Write the order using less-than signs:
Notice that because is closer to . Also, both and are greater than the negative integers.
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