Classifying Numbers - 2025
        Classify the following numbers. 

Please name all of the appropriate classes that             apply to the given number:
Check all categories that apply:
How would you classify ⅝?
Natural
Whole
Integer
Rational
Irrational
Check all categories that apply:
How would you classify -4?
Natural
Whole
Integer
Rational
Irrational
Check all categories that apply:
How would you classify 9?
Natural
Whole
Integer
Rational
Irrational
Check all categories that apply:
How would you classify 3 ?
Natural
Whole
Integer
Rational
Check all categories that apply:
How would you classify 12/4?
Natural
Whole
Integer
Rational
Check all categories that apply:
How would you classify 0?
Natural
Whole
Integer
Rational
Irrational
Check all categories that apply:
How would you classify 0.45?
Natural
Whole
Integer
Rational
Irrational
Check all categories that apply:
-15
Natural
Whole
Integer
Rational
Irrational
Check all categories that apply:
How would you classify -½?
Natural
Whole
Integer
Rational
Irrational
Rational #: can be written as a RATIO (fraction)
Integers: rational #s such as ...-3,-2,-1, 0, 1, 2, 3,...
Whole numbers: zero and positive integers such as 0, 1, 2, 3, ...
Irrational #: cannot be written as a RATIO (Fraction)
Irrational

?
√3
Rational
 Only
?
2/5
Classify each number
Rational
   and
Integer
  
?
-6
Rational,
Integer,
Whole, &
Natural
?
7
Rational #: can be written as a RATIO (fraction)
Integers: rational #s such as ...-3,-2,-1, 0, 1, 2, 3,...
Whole numbers: zero and positive integers such as 0, 1, 2, 3, ...
Irrational #: cannot be written as a RATIO (fraction)
Irrational

?
√41
Rational
 Only
?
1/7
Classify each number
Rational
   and
Integer
  Only
?
-13
Rational,
Integer,
    and
Whole #
?
7.0
Rational #: can be written as a RATIO (fraction)
Integers: rational #s such as ...-3,-2,-1, 0, 1, 2, 3,...
Whole numbers: zero and positive integers such as 0, 1, 2, 3, ...
Irrational #: cannot be written as a RATIO (fraction)
-99
Rational
   and
Integer

?
13/2
Rational
 
?
Classify each number
Irrational

?
√7
Rational,
Integer, &
Whole 
?
0
Rational #: can be written as a RATIO (fraction)
Integers: rational #s such as ...-3,-2,-1, 0, 1, 2, 3,...
Whole numbers: zero and positive integers such as 0, 1, 2, 3, ...
Irrational #: cannot be written as a RATIO (fraction)
Irrational

?
√33
Rational
   and
Integer
 
?
-6/2
Classify each number
.5
Rational
 
?
Rational,
Integer,
Whole, &
Natural
?
8/1
Rational #: can be written as a RATIO (fraction)
Integers: rational #s such as ...-3,-2,-1, 0, 1, 2, 3,...
Whole numbers: zero and positive integers such as 0, 1, 2, 3, ...
Irrational #: cannot be written as a RATIO (fraction)
Irrational

?
√12
Rational
 
?
.7
Classify each number
-6/3
Rational
   and
Integer

?
√36
Rational,
Integer,
Whole, &
Natural
?
-√9
Rational #: can be written as a RATIO (fraction)
Integers: rational #s such as ...-3,-2,-1, 0, 1, 2, 3,...
Whole numbers: zero and positive integers such as 0, 1, 2, 3, ...
Irrational #: cannot be written as a RATIO (fraction)
Rational
   and
Integer
  
?
√16
Rational,
Integer,
Whole, &
Natural
?
Classify each number
Irrational

?
√2
17/5
Rational
 
?
-√81
Rational #: can be written as a RATIO (fraction)
Integers: rational #s such as ...-3,-2,-1, 0, 1, 2, 3,...
Whole numbers: zero and positive integers such as 0, 1, 2, 3, ...
Irrational #: cannot be written as a RATIO (fraction)
Rational
   and
Integer

?
Rational

?
.3
Classify each number
Irrational

?
Rational,
Integer,
Whole, &
Natural
?
7
Rational #: can be written as a RATIO (fraction)
Integers: rational #s such as ...-3,-2,-1, 0, 1, 2, 3,...
Whole numbers: zero and positive integers such as 0, 1, 2, 3, ...
Irrational #: cannot be written as a RATIO (fraction)
Irrational

?
√10
-1/9
Classify each number
Rational

?
-77
Rational
   and
Integer

?
12/4
Rational,
Integer,
Whole, &
Natural
?
Rational #: can be written as a RATIO (fraction)
Integers: rational #s such as ...-3,-2,-1, 0, 1, 2, 3,...
Whole numbers: zero and positive integers such as 0, 1, 2, 3, ...
Irrational #: cannot be written as a RATIO (fraction)
√64
Rational,
Integer,
Whole, &
Natural
?
Rational

?
4.5
Classify each number
Rational
   and
Integer

?
-1
Irrational

?
2∏
Rational #: can be written as a RATIO (fraction)
Integers: rational #s such as ...-3,-2,-1, 0, 1, 2, 3,...
Whole numbers: zero and positive integers such as 0, 1, 2, 3, ...
Irrational #: cannot be written as a RATIO (fraction)
Irrational

?
√22
Rational

?
-.5
Classify each number
Rational
   and
Integer

?
-96
Rational,
Integer,
Whole, &
Natural
?
7.00
Rational #: can be written as a RATIO (fraction)
Integers: rational #s such as ...-3,-2,-1, 0, 1, 2, 3,...
Whole numbers: zero and positive integers such as 0, 1, 2, 3, ...
Irrational #: cannot be written as a RATIO (fraction)
-7.0
Rational
   and
Integer

?
Rational

?
3/2
Classify each number
Irrational

?
√5
Rational,
Integer,
Whole, & 
Natural
?
0
Rational #: can be written as a RATIO (fraction)
Integers: rational #s such as ...-3,-2,-1, 0, 1, 2, 3,...
Whole numbers: zero and positive integers such as 0, 1, 2, 3, ...
Irrational #: cannot be written as a RATIO (fraction)
Irrational

?
√31
-9/3
Rational
   and
Integer

?
Classify each number
-5/8
Rational

?
786
Rational,
Integer,
Whole, & 
Natural
?
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