“But wait!” I hear you say. “What if the decimal just repeats forever? Like 0.333…?” Nope, that’s a fraction (1/3). Irrational decimals go on forever without repeating in any pattern. That’s the key.
Think of π: 3.1415926535… it just keeps going, random as a cat on caffeine. No repeating block. No hidden fraction. It’s like trying to catch a ghost with a butterfly net.
So if you ever see a decimal that eventually repeats or terminates (like 0.5 or 0.142857142857…), it’s rational. End of story.
ASSIGNMENT 1 2 IRRATIONAL AND RATIONAL NUMBERS Copyright
