Back to The Number System — Problem 3 · 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
A

Procedures

1.

You are approximating 7\sqrt{7} by squaring candidate values.
You find that 2.62=6.762.6^2 = 6.76 and 2.72=7.292.7^2 = 7.29. Between which two
consecutive tenths does 7\sqrt{7} lie? Enter the smaller (lower)
bound as a decimal.