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Compare integers

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.

Detailed Explanation: Compare integers

To compare integers, locate them on a number line. The integer farther to the right is greater.

Remember:

  • Every positive integer is greater than 00.
  • 00 is greater than every negative integer.
  • Among negative integers, the one closer to 00 is greater.

Example: Order −4-4, 22, 00, and −1-1 from least to greatest.

  1. Picture the numbers on a number line:

−4−102-4 \quad -1 \quad 0 \quad 2
  1. Start with the number farthest left. That is −4-4.

  2. Move right. Next is −1-1, then 00, and finally 22.

  3. Write the order using less-than signs:

−4<−1<0<2-4<-1<0<2

Notice that −1>−4-1>-4 because −1-1 is closer to 00. Also, both 00 and 22 are greater than the negative integers.

Learn by doing: Compare integers

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Number Sense - Ordering 3 Integers (descending)


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