Back to Know that numbers that are not rational are called irrational — Problem 3 · 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.

The fraction $\frac{1}{7}$ equals $0.\overline{142857}$ . Which describes its decimal expansion?

It terminates after a few digits.

It eventually repeats, so the number is rational.

It never repeats, so the number is irrational.

It is irrational because the block is long.