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Worksheets

Classifying Real Numbers

Total questions: 25

Worksheet time: 2hrs 5mins

Name
Class
Date
1.

The number is a/an...

a)

Rational Number

b)

Irrational Number

c)

Integer

d)

Whole Number

2.

The number is a/an...

a)

Rational Number

b)

Irrational Number

c)

Integer

d)

Whole Number

3.

The number is a/an...

a)

Rational Number

b)

Irrational Number

c)

Integer

d)

Whole Number

4.

The number is a/an...

a)

Rational Number

b)

Irrational Number

c)

Integer

d)

Whole Number

5.

The number is a/an...

a)

Rational Number

b)

Irrational Number

c)

Integer

d)

Whole Number

6.

The number is a/an...

a)

Rational Number

b)

Irrational Number

c)

Integer

d)

Whole Number

7.

The number is a/an... (check all that apply)

a)

Rational Number

b)

Irrational Number

c)

Integer

d)

Whole Number

e)

Natural

8.

A rational number...

a)

can be positive or negative

b)

can be a decimal

c)

can be expressed as a ratio

d)

All the above

9.

Classify the number by checking all that apply!

303\frac{30}{3}  

a)

Natural

b)

Whole

c)

Integer

d)

Rational

e)

Irrational

10.

Rachel states that -5.5 is an integer because it is negative.

Is she correct?

Why or why not?

a)

Yes, because all negatives are integers.

b)

Yes, because all integers have decimals.

c)

No, because integers do not have decimals.

d)

No, because integers cannot be negative.

11.

Jeremy says that 5.676677666777... is a rational number because it is a decimal that goes on forever with a pattern.

Is he correct?

Why or why not?

a)

Yes, because the decimal is repeating.

b)

No, because it is an integer.

c)

No, because a pattern is not a repeating decimal.

12.
Classify this number:  6.7
a)
real
b)
real      rational
c)
real      rational        integer
d)
real   rational   integer   whole
13.
Classify this number:  √10
a)
real
b)
real      rational
c)
real       irrational
d)
real         rational        integer
14.
Classify this number:  ⅚
a)
real
b)
real      rational
c)
real      rational        integer
d)
real   rational   integer   whole
15.
Classify this number: √25
a)
real
b)
real      rational
c)
real      rational        integer
d)

real   rational   integer   whole natural

16.
Classify this number:  -12
a)
real
b)
real      rational
c)
real       irrational
d)
real         rational        integer
17.
A non-terminating, non-repeating decimal is which type of number?
a)
Rational 
b)
Irrational
18.
Which number is an irrational number?
a)
2.5
b)
5.72314.....
c)
-17
d)
1/2
19.
Classify the number: 0
a)
Real Number
b)
Irrational Number
c)
Imaginary
d)
Natural Number
20.
Which word does NOT describe 5?
a)
Whole
b)
Integer
c)
Rational
d)
Irrational
21.
An example of an integer is...
a)
9.1
b)
8/9
c)
-9
d)
-2.3
22.

6π6π\frac{6\pi}{6\pi}   results in what type of number? (Check all classifications that apply)

a)

rational

b)

whole

c)

integer

d)

irrational

e)

Natural

23.

3π43\pi-4   results in what type of number? (Check all classifications that apply)

a)

rational

b)

whole

c)

integer

d)

irrational

24.

0.70.\overline{7}   is what type of number? (Check all classifications that apply)

a)

rational

b)

whole

c)

integer

d)

irrational

25.

3\sqrt{3}   is what type of number? (Check all classifications that apply)

a)

rational

b)

whole

c)

integer

d)

irrational