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Practice Categorizing Real Numbers as Rational or Irrational.

Quiz yourself by thinking what should be in each of the black spaces below before clicking on it to display the answer.
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Value
Category
1.3456387...   1.3456387... is IRRATIONAL NUMBER because it's decimal value is non-repeating and non-terminating.  
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1/3   1/3 RATIONAL NUMBER because it is a fraction without a denominator of zero.  
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0   0 is a WHOLE NUMBER  
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-5   -5 is an INTEGER because it is the opposite of a whole number  
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500   500 is a NATURAL NUMBER because it is a counting number  
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29   29 is a NATURAL NUMBER because it is a counting number  
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8,760   8,760 is a NATURAL NUMBER because it is a counting number  
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1/6   1/6 is a RATIONAL NUMBER because it is a fraction without a denominator of zero.  
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PI   Pi is an IRRATIONAL NUMBER because it's decimal value is non-repeating and non-terminating than cannot be expressed as a fraction.  
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THE SQUARE ROOT OF 2   THE SQUARE ROOT OF 2 is IRRATIONAL NUMBER because it's decimal value is non-repeating and non-terminating that cannot be expressed as a fraction.  
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1.33333....   1.33333.... is a RATIONAL NUMBER because it is repeating decimal that can be expressed as a fraction without a denominator of zero.  
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1/8   1/8 is a RATIONAL NUMBER because it is fraction without a denominator of zero.  
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-1/2   -1/2 is a RATIONAL NUMBER because it is a fraction without a denominator of zero.  
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-1.5   -1.5 is a RATIONAL NUMBER because it is a terminating decimal that can be expressed as a fraction without a denominator of zero.  
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-1.3333....   -1.3333.... is a RATIONAL NUMBER because it is a repeating decimal that can be expressed as a fraction without a denominator or zero.  
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-0.37489289...   -0.37489289... is an IRRATIONAL NUMBER because it is a non-repeating and non-terminating decimal that cannot be expressed as fraction.  
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THE SQUARE ROOT OF 1/9   THE SQUARE ROOT OF 1/9 is a RATIONAL NUMBER because it's value is 1/3 which is a fraction without a denominator of zero.  
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-3   -3 is an INTEGER because it is the opposite of a whole number  
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-21,000   -21,000 is an INTEGER because it is the opposite of a whole number  
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5/8   5/8 is a RATIONAL NUMBER because it is a fraction without a denominator of zero.  
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9/10   9/10 is a RATIONAL NUMBER because it is a fraction without a denominator of zero.  
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THE SQUARE ROOT OF 19   THE SQUARE ROOT OF 19 is an IRRATIONAL NUMBER because it's decimal value is non-terminating and non-repeating that cannot be expressed as fraction.  
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THE SQUARE ROOT OF 3   THE SQUARE ROOT OF 3 is an IRRATIONAL NUMBER because it's decimal value is non-terminating and non-repeating that cannot be expressed as fraction.  
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0.4   0.4 is a RATIONAL NUMBER because it is a terminating decimal that can be written as a fraction.  
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7.12121212...   7.12121212... is a RATIONAL NUMBER because it is a repeating decimal that can be written as a fraction.  
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THE SQUARE ROOT OF 9   THE SQUARE ROOT OF 9 is a RATIONAL NUMBER because it has a value of 3.  
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5/0   5/0 is an IRRATIONAL NUMBER because it is a fraction with a denominator of zero.  
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9/0   9/0 is an IRRATIONAL NUMBER because it is a fraction with a denominator of zero.  
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6/0   6/0 is an IRRATIONAL NUMBER because it is a fraction with a denominator of zero.  
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THE SQUARE ROOT OF 15   THE SQUARE ROOT OF 15 is an IRRATIONAL NUMBER because it is not a perfect square. The decimal value does not repeat and is non-terminating.  
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THE SQUARE ROOT OF 122   THE SQUARE ROOT OF 122 is an IRRATIONAL NUMBER because it is not a perfect square. The decimal value does not repeat and is non-terminating.  
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THE SQUARE ROOT OF 5   THE SQUARE ROOT OF 5 is an IRRATIONAL NUMBER because it is not a perfect square. The decimal value does not repeat and is non-terminating.  
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THE SQUARE ROOT OF 20   THE SQUARE ROOT OF 20 is an IRRATIONAL NUMBER because it is not a perfect square. The decimal value does not repeat and is non-terminating.  
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22/7   22/7 is a RATIONAL NUMBER because it is a fraction without a denominator of zero. (Beware...this is an estimate for PI and not really equal to Pi.)  
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3.14   3.14 is a RATIONAL NUMBER because it is a fraction without a denominator of zero. (Beware...this is an estimate for PI and not really equal to Pi.)  
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