Back to The Number System — Problem 1 · Task Set 37

8.NS Tutor Intake — Irrational Numbers and Rational Approximation

This short check helps your tutor find where to start. Answer each question without help — no calculator unless a problem says otherwise. If you're not sure, give your best try; the goal is to find what to work on together, not to grade you.

Grade 8·8 problems·~12 min·Common Core Math - Grade 8·domain·ns

Work through problems with immediate feedback

Procedures

When you convert a fraction $\frac{p}{q}$ to a decimal by long
division, the decimal eventually repeats. For a fraction with
denominator $11$ , what is the longest a repeating block could
possibly be?

$10$ digits

$11$ digits

$12$ digits

There is no limit — the block could be infinitely long.