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Solve integer comparison problems

Integer comparison involves determining whether one integer is greater than, less than, or equal to another by interpreting its position on a number line: values farther right are greater, positive integers exceed zero, and zero exceeds negative integers. It includes reasoning about opposites and why, among negative integers, the value closer to zero is greater; comparisons are limited to integers rather than fractions, decimals, or algebraic expressions.

Detailed Explanation: Solve integer comparison problems

To compare two integers, imagine their positions on a number line:

  • Numbers farther to the right are greater.
  • Numbers farther to the left are less.
  • Every positive integer is greater than 00.
  • 00 is greater than every negative integer.
  • Among negative integers, the number closer to 00 is greater.

Example: Compare −7-7 and −3-3.

  1. Locate −7-7 and −3-3 on a number line.
  2. Since −3-3 is to the right of −7-7, −3-3 is greater.
  3. Write the comparison using a symbol:
−7<−3-7 < -3

Remember: although 77 is greater than 33, the negative number closer to zero, −3-3, has the greater value.

Learn by doing: Solve integer comparison problems

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Number Sense - Ordering 3 Integers (descending)


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