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Classifying Numbers (Whole, Integer, Rational, Irrational)

This worksheet covers Classifying Numbers (Whole, Integer, Rational, Irrational), 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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Classifying Numbers (Whole, Integer, Rational, Irrational)

Number Systems • Middle School Math

Set 2 — Foundation

Which of the following numbers is an integer? 3.5, -2, 0.75, $\sqrt{2}$

-2

3.5

0.75

$\sqrt{2}$

Which of the following numbers is rational? $\pi$ , $\frac{1}{3}$ , $\sqrt{5}$ , 0.101001001...

$\frac{1}{3}$

$\pi$

$\sqrt{5}$

0.101001001...

Which of the following is an example of an irrational number? 4, $\frac{22}{7}$ , $\sqrt{3}$ , -1

$\sqrt{3}$

$\frac{22}{7}$

-1

Which of the following is a whole number? -1, 0, 1.5, $\frac{5}{2}$

-1

1.5

$\frac{5}{2}$

Which of the following is an integer? 2.5, 10, -7, $\sqrt{16}$

2.5

-7

$\sqrt{16}$

Which of the following numbers is NOT rational? 0.333..., $\sqrt{7}$ , -3, $\frac{8}{9}$

$\sqrt{7}$

0.333...

-3

$\frac{8}{9}$

Which of the following is a rational number? $\sqrt{2}$ , 3, 0, $\frac{5}{0}$

$\sqrt{2}$

$\frac{5}{0}$

Which of the following is an example of an irrational number? 5, -4, $\sqrt{25}$ , $\sqrt{11}$

$\sqrt{11}$

-4

$\sqrt{25}$

Which of the following is a whole number? 1, 0, $\frac{1}{2}$ , -1

-1

$\frac{1}{2}$

10.

Which of the following numbers is an integer? 0, 1, -3.5, $\frac{2}{3}$

-3.5

$\frac{2}{3}$

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