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Worksheets

Compare and Ordering Real Numbers

Total questions: 20

Worksheet time: 56mins

Name
Class
Date
1.

Which is an example of an integer?

a)

-9

b)

0.567

c)

1/2

d)

-0.957643...

2.

Which is an example of a rational number?

a)

.211232112421125. . . .

b)

π

c)

√25

d)

√12

3.
A decimal that stops (like 2.48) is which type of number? 
a)
Rational
b)
Irrational
4.

A repeating decimal (like 4.7777...) is which type of number?

a)

Rational

b)

Irrational

5.

A decimal (like 3.474474447...) is which type of number?

a)

Rational

b)

Irrational

6.
Which of the following numbers is rational?
a)
√8
b)
√16
c)
√50
d)
√75
7.

Which is an example of an irrational number?

a)

-2/3

b)

.75575557654..

c)

23

d)

0

8.
Which of the following numbers is irrational?
a)
√8
b)
¾
c)
2
d)
-1.325
9.
Which statement about the real number system is NOT true?
a)
All square roots are either natural numbers, or irrational numbers
b)
All whole numbers are also natural numbers, except for 0.
c)
Repeating decimals are rational
d)
Some fractions are irrational
10.
Put in the symbol to make the statement true...
-17.5   _________ -√121
a)
>
b)
<
c)
=
11.

Compare.

√52 or 6.9

a)

<

b)

>

c)

=

12.

Between which if these does √27 lay on a number line?

a)

5 and 6

b)

6 and 7

c)

4 and 5

13.
The √40 is between which two integers?
a)
7 & 8
b)
6 & 7
c)
5 & 6
d)
4 & 5
14.

The square root of 113 is between what two integers?

a)

8 and 9

b)

9 and 10

c)

10 and 11

d)

11 and 12

15.
Point B could represent which of the following numbers?
a)
√24
b)
√30
c)
√35
d)
√42
16.

Which number is the smallest?

a)

A

b)

B

c)

C

d)

D

e)

E

17.

Which number is the greatest?

a)

A

b)

B

c)

C

d)

D

e)

E

18.
Order 3π, √ 10 , and 3.25 from least to greatest.
a)
√ 10, 3π, 3.25
b)
√ 10, 3.25, 3π
c)
3π, 3.25, √ 10
d)
 3.25, √ 10, 3π
19.
List the following numbers from least to greatest:
-64 , 3.5 , √27 , 6.666...
a)
-64 , 3.5 , √27 , 6.666...
b)
3.5 , √27 , 6.666..., -64
c)
3.5, -64, √27, 6.666...
d)
6.666, √27, -64, 3.5
20.

Order the following from least to greatest:

√16, -3, √23, 16/5, -4.5

a)

-3, -4.5, 16/5, √16, √23

b)

-4.5, -3, √16, 16/5, √23

c)

-3, -4.5, √16, 16/5, √23

d)

-4.5, -3, 16/5, √16, √23