Back to Know that numbers that are not rational are called irrational — Problem 2 · 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.

Classify $2 + \sqrt{2}$ as rational or irrational.

Irrational, because adding the rational number $2$ to the irrational number $\sqrt{2}$ gives an irrational result.

Rational, because $2$ is rational and the sum of any two numbers is rational.