Marco states that 7.696696669…… is a rational number because it is a repeating decimal. Is he correct? Justify your answer.

Answer:

Marco is not correct. Although the decimal has a pattern, it is not a repeating decimal because the same sequence of digits does not repeat infinitely. In this number, the number of 6s increases each time (69, 669, 6669), which means the decimal does not terminate and does not repeat a fixed cycle. Therefore, it is an irrational number, not a rational number.