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Rational vs. Irrational Numbers

This worksheet covers Rational vs. Irrational Numbers, which is part of the Number Systems module in the Middle School Math course. Practice problems are designed to strengthen key concepts and build confidence.

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Related Lessons:

Classifying Numbers (Whole, Integer, Rational, Irrational)
Converting Between Fractions, Decimals, and Percents
Square Roots and Perfect Squares

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Rational vs. Irrational Numbers

Number Systems • Middle School Math

Set 2 — Foundation

Which of the following decimal representations is irrational?

0.3333...

2.71828...

0.5

1.25

Which of the following fractions is rational?

$\frac{7}{0}$

$\frac{8}{4}$

$\pi$

$\sqrt{4}$

What is the sum of $\frac{1}{2}$ and $\frac{1}{3}$ ?

$\frac{5}{6}$

$\frac{2}{5}$

$\frac{3}{5}$

$\frac{1}{6}$

Which number can be expressed as a fraction?

3.14

$\sqrt{5}$

4.5555...

$\pi$

What is the product of 2 and $\sqrt{4}$ ?

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