As Emek and Tara approached an unexplored planet, their scanner received five measurements: 7/8, 1.375, 0.272727..., sqrt(36), and sqrt(13). Before the landing computer could use them, each value had to be placed on its number system map. Tara rewrote 1.375 as 11/8, confirming that it was rational. Emek recognized that 0.272727... repeated the same two digits and could be written as 3/11, so it was rational too. The fraction 7/8 was already clearly rational. Next, they simplified sqrt(36) to 6, making it a natural number, an integer, and a rational number. But 13 was not a perfect square, so sqrt(13) was irrational. They checked that every value was also a real number and sent the completed classifications to the landing computer. The scanner accepted the organized signals, calculated a safe approach, and guided their spacecraft toward the planet's surface.




