Classifying Real Numbers
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
  Only
?
-6
Rational,
Integer,
    and
Whole #
?
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
1/7
Rational
 Only
?
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
  Only
?
13/2
Rational
 Only
?
Classify each number
Irrational

?
√7
Rational,
Integer,
    and
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)
-7.0
Rational
   and
Integer
  Only
?
Rational
 Only
?
3/2
Classify each number
Irrational

?
√5
Rational,
Integer,
    and
Whole #
?
0
Irrational #: cannot be written as a RATIO (fraction)
Rational #: can be written as a RATIO (fraction)
Classify the quantity. 
√36 - 8
Irrational
Rational
Irrational #: cannot be written as a RATIO (fraction)
Rational #: can be written as a RATIO (fraction)
Classify the quantity. 
Rational
Irrational
Irrational #: cannot be written as a RATIO (fraction)
Rational #: can be written as a RATIO (fraction)
Classify the quantity. 
Rational
Irrational
 8 
11
Irrational #: cannot be written as a RATIO (fraction)
Rational #: can be written as a RATIO (fraction)
Classify the quantity.
√40 + 8
Rational
Irrational
Irrational #: cannot be written as a RATIO (fraction)
Rational #: can be written as a RATIO (fraction)
Classify the quantity.
Rational
Irrational
√16
√9
Irrational #: cannot be written as a RATIO (fraction)
Rational #: can be written as a RATIO (fraction)
Classify the quantity.
Rational
Irrational
π - ¾
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