The decimal period of a repeating decimal is the number of digits that repeat. For example, 1/3 = 0.3^_ has decimal period one, 1/11 = 0.9^_ has decimal period two, and 1/37 = 0.27^_ has decimal period three. Any nonregular fraction m/n is periodic and has decimal period λ(n) independent of m, which is at most n - 1 digits long. If n is relatively prime to 10, then the period λ(n) of m/n is a divisor of ϕ(n) and has at most ϕ(n) digits, where ϕ is the totient function. It turns out that λ(n) is the multiplicative order of 10 (mod n). The number of digits in the repeating portion of the decimal expansion of a rational number can also be found directly from the multiplicative order of its denominator.
We guarantee you’ll find the right tutor, or we’ll cover the first hour of your lesson.
Club Z! has connected me with a tutor through their online platform! This was exactly the one-on-one attention I needed for my math exam. I was very pleased with the sessions and ClubZ’s online tutoring interface.
My son was suffering from low confidence in his educational abilities. I was in need of help and quick. Club Z! assigned Charlotte (our tutor) and we love her! My son’s grades went from D’s to A’s and B’s.
I’ve been using Club Z’s online classrooms to receive some help and tutoring for 2 of my college classes. I must say that I am very impressed by the functionality and ease of use of their online App. Working online with my tutor has been a piece of cake. Thanks Z.
Jonathan is doing really well in all of his classes this semester, 5 A’s & 2 B’s (he has a computer essentials class instead of PLC). In his Algebra class that Nathan is helping him with he has an A+.
Sarah is very positive, enthusiastic and encourages my daughter to do better each time she comes. My daughter’s grade has improved, we are very grateful for Sarah and that she is tutoring our daughter. Way to go ClubZ!
