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Middle School Math - Number Systems - Rational vs. Irrational Numbers | Worksheet

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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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*View full Middle School Math course with step by step lessons and online quiz modules.*

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 4 — Mastery

Which decimal represents an irrational number?

0.3333...

2.718281828...

0.25

1.5

Which of the following expressions is irrational?

$\frac{5}{0}$

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Other Sets

Show answer choices

Set 1Foundation Set 2Foundation Set 3Foundation Set 4Mastery Set 5Mastery Custom Worksheet

$\sqrt{4}$

$\sqrt{5}$

2 + 2

Identify the rational number from the list.

7.142857...

$\sqrt{10}$

$\pi$ - 3

$\sqrt{16}$

Which of the following numbers is NOT a rational number?

0.5

-3

$\sqrt{9}$

3.14159...

Which of the following operations results in an irrational number?

$\sqrt{2}$ + $\sqrt{2}$

$\sqrt{2}$ $\times$ $\sqrt{2}$

$\sqrt{2}$ + 2

$\sqrt{2}$ $\times$ 2

Which of the following pairs contains only rational numbers?

$\frac{1}{2}$ , \text{and} , $\frac{2}{3}$

$\sqrt{2}$ , \text{and} , 2

$\pi$ , \text{and} , 1

0.1 , \text{and} , 0.5

Which of the following is NOT an irrational number?

$\sqrt{16}$

$\sqrt{7}$

$\sqrt{13}$

$\sqrt{2}$