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

8.NS.A.1 Tutor Intake -- Rational and Irrational Numbers

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Grade 8·11 problems·~12 min·Common Core Math - Grade 8·container·8-ns-a-1

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Concepts

A number is rational if it can be written as $p/q$ with $p$ and
$q$ integers and $q \neq 0$ . Which statement about irrational
numbers is correct?

An irrational number cannot be written as a ratio of two integers, no matter how hard you try — but it is still an exact, precise real number.

An irrational number is any number with a long or complicated-looking decimal.

An irrational number is a number that mathematicians have not yet found a fraction for, but one probably exists.

An irrational number is not a real number — it only exists as a rounded approximation, like 1.41 for $\sqrt{2}$ .