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AExplorerMathematics· about 15 min· fundamentals that rarely change· verified 2026-09-20· EN

Comparing and sorting values

Order numerical values by magnitude and use comparison operators correctly.

Prerequisites

Everyday explanation

Sorting means arranging data. Smallest first: 3, 7, 12, 25. Or largest first: 25, 12, 7, 3.

The operator < means “is less than” and > “is greater than”. Think of the symbol as a crocodile’s mouth: it opens towards the largest value. 3 < 7. 25 > 12.

Systems sort constantly: customer lists, salaries, search results. An AI model sorts its probabilities: most likely first.

Interactive

Sort like a computer: Take five values in a row. Compare only two values at a time and swap them if they are in the wrong order. Move from left to right, repeating until no swaps occur.

5 2 8 1 → 2 5 8 1 → 2 5 1 8 → 2 1 5 8 → 1 2 5 8.

Count the number of swaps. This is called bubble sort and is a fundamental algorithm.

Mastery means

  • Order five values in ascending order
  • Use the operators < and > correctly

Sign in to do the exercises and build your mastery up.

Sources

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