Back to Know that numbers that are not rational are called irrational — Problem 4 · Task Set 1

Exercises: Rational and Irrational Numbers

Work through each section in order. Show your work where indicated. Write repeating decimals using bar notation (for example, $0.\overline{3}$ means $0.333\ldots$).

Grade 8·21 problems·~35 min·Common Core Math - Grade 8·container·8-ns-a-1
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Fluency Practice

Classify each number or perform the conversion. Show your reasoning.

1.

When you convert 1q\frac{1}{q} to a decimal by long division, the possible nonzero remainders are 1,2,,q11, 2, \ldots, q-1. For q=11q = 11, what is the greatest number of digits the repeating block could possibly have?