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Worksheets

Rational vs. Irrational Numbers

Total questions: 10

Worksheet time: 3hrs 30mins

Name
Class
Date
1.

Rewrite 2.18 as a fraction. Do not simplify. 

a)

 2 181002\ \frac{18}{100}  

b)

 2 1810002\ \frac{18}{1000}  

c)

 2 18102\ \frac{18}{10}  

d)

 2181000\frac{218}{1000}  

2.

 6π 6\pi\   is:

a)

Rational

b)

Irrational

3.

 13 +119\frac{1}{3\ }+\frac{11}{9}  is:

a)

Rational

b)

Irrational

4.

The bar over the .28 means it repeats forever, therefore it is irrational.

a)

True

b)

False

5.
a)

Rational

b)

Irrational

6.

A rational number is one that can be written as a ratio.

a)

True

b)

False

7.

Identify the rational numbers. Choose all that apply.

a)

42.9670142.96701

b)

10433\frac{104}{33}

c)

3. 2187-3.\ \ \frac{ }{2187}

d)

16\sqrt{16}

e)

30\sqrt{30}

8.

The number

 6\sqrt{6}  is rational.

a)

True

b)

False

9.

 25\sqrt{25}  is rational, because it can be simplified to 5.

a)

True

b)

False

10.

The sum of a rational number and an irrational number produces an irrational number.

a)

True

b)

False