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

Question

Angle · Answer

oh oh oh I just did this math problem in class the other day! :D

johngotti456 · Answer

whats the answer

Angle · Answer

So for a number to be rational, it must either terminate (as in have an end) OR have a *consistent* "phrase" or "period" that repeats forever

for example
2.25 terminates, so it is rational
2.121212121212.... has the phrase "12" repeating forever, so it is rational

BUT for this problem, what would we say is the "repeating phrase"??
can you think of ONE phrase of numbers that will repeat itself for this decimal?

Eiwoh2 · Answer

#outtahere