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Worksheets

Rational & Irrational Numbers

Total questions: 12

Worksheet time: 3600secs

Name
Class
Date
1.

Which of the following is an irrational number?

a)

0.333

b)

8\sqrt{8}

c)

49\sqrt{49}

d)

522\frac{5}{22}

2.

Identify the rational numbers.

a)

4\sqrt{4}

b)

π\pi

c)

3.53.5

d)

2\sqrt{2}

e)

23\frac{2}{3}

3.

A rational number can be written as a fraction.

a)

true

b)

false

4.

A terminating decimal is a decimal that...

a)

never ends.

b)

repeats numbers in a pattern.

c)

ends.

d)

never ends and never repeats.

5.

All whole numbers are rational numbers.

a)

True

b)

False

6.

 0.181818181818181818......is

a)

Rational

b)

Irrational

c)

Terminating Decimal

d)

Repeating Decimal

7.
Is 3.74 a rational number?
a)
yes
b)
no
8.
A REPEATING decimal is what type of number?
a)
Rational 
b)
Irrational
9.

The square root of 2 is an irrational number because...

a)

all square roots are irrational

b)

the answer is a decimal that never stops and never repeats

c)

two is an even number

d)

the decimal never repeats

e)

the decimal never stops

10.

Which expressions represent irrational numbers?

a)

50\sqrt{50}

b)

 (36) (12)4\left(\sqrt{36}\right)\ \left(\frac{1}{2}\right)^4 

c)

 (169)+(16)\left(\sqrt{169}\right)+\left(\sqrt{16}\right) 

d)

 (225)3\left(\sqrt{225}\right)^3 

e)

 (4) (0.25)2\left(4\right)\ \left(\sqrt{0.25}\right)^2  

11.

Determine if the  324\sqrt{324} is rational or irrational.

a)

Rational

b)

Irrational

12.

Which of the following is an irrational number?

a)

0\sqrt{0}

b)

3\sqrt{3}

c)

1.361\overline{.36}

d)

0.19-0.19