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Classifying and Estimating Irrational Numbers

Total questions: 30

Worksheet time: 1hrs 6mins

Name
Class
Date
1.

Which of the following sets does NOT contain any irrational numbers?

a)

{ -3.5 , π , 27 }

b)

{ 11/2 , √36 , 6.789 }

c)

{ √45 , 78 , 8.32 }

d)

{ 1.234... , 2/3, -56 }

2.
√4
a)
irrational
b)
rational
3.
What type of number is π ?
a)
Rational
b)
Irrational
4.
√25
a)
Rational
b)
Irrational
5.
a)
A, B, C
b)
B, C, A
c)
C, A, B
d)
A, C, B
6.

_____________ number is a number that cannot be written as a ratio of two integers.

a)

An integer

b)

A rational

c)

An irrational

d)

A repeating

7.

Which of these is an example of a rational number?

a)

√4

b)

√5

c)

√3

d)

√2

8.

Fill in the blank. An integer is ____________ rational.

a)

sometimes

b)

always

c)

never

d)

only on Mondays

9.
A never ending decimal that doesn't repeat is which type of number?
a)
Rational 
b)
Irrational
c)
Integer
d)
Whole
10.
The √98 falls between what two numbers on a number line?
a)
10 and 11
b)
11 and 12
c)
9 and 10
d)
90 and 100
11.
between which if these does √27 lay on a number line
a)
5 and 6
b)
6 and 7
c)
4 and 5
d)
who cares i wanna go home
12.
What is the approximate value of √12
a)
2
b)
3.5
c)
4.5
d)
6
13.
Estimate the square root.
a)
4.2
b)
4
c)
4.6
d)
5
14.
Estimate the square root.
a)
9.8
b)
9
c)
9.3
d)
10
15.
Which number has a square root that is between 5 and 6?
a)
48
b)
81
c)
28
d)
36
16.
Round to the Nearest Tenth: √119
a)
10.9
b)
10.5
c)
11.1
d)
10
17.

Which of the following is rational?

a)

√9

b)

√2

c)

√3

d)

√55

18.
A rational number can be written as a fraction.
a)
True
b)
False
19.

Which number is irrational?

a)

9.6

b)

45\sqrt{45}

c)

38\frac{3}{8}

d)

3.4×1053.4\times10^5

20.
.141414141414...
a)
Rational 
b)
Irrational 
21.
A perfect square is which type of number?
a)
Rational 
b)
Irrational
22.
A fraction is which type of number?
a)
Rational
b)
Irrational
23.
-10
a)
Rational
b)
Irrational
24.
a)
D, C, A, B
b)
D, A, B, C
c)
D, B, C, A
d)
A, C, B, D
25.
Irrational numbers can be written in the form of a fraction 
a)
False
b)
True
26.
includes integers, fractions, terminating and repeating decimals.
a)
Rational Numbers
b)
Irrational Numbers
27.
A repeating decimal is what type of number?
a)
Rational 
b)
Irrational
28.
A fraction is which type of number?
a)
Rational
b)
Irrational
29.
Given the following radical, decide if it is rational or irrational:
√8
a)
Rational
b)
Irrational
30.
4.032
a)
Rational 
b)
Irrational