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# Real Number System

### Practice Categorizing Real Numbers as Rational or Irrational.

Value | Category |
---|---|

1.3456387... | 1.3456387... is IRRATIONAL NUMBER because it's decimal value is non-repeating and non-terminating. |

1/3 | 1/3 RATIONAL NUMBER because it is a fraction without a denominator of zero. |

0 | 0 is a WHOLE NUMBER |

-5 | -5 is an INTEGER because it is the opposite of a whole number |

500 | 500 is a NATURAL NUMBER because it is a counting number |

29 | 29 is a NATURAL NUMBER because it is a counting number |

8,760 | 8,760 is a NATURAL NUMBER because it is a counting number |

1/6 | 1/6 is a RATIONAL NUMBER because it is a fraction without a denominator of zero. |

PI | Pi is an IRRATIONAL NUMBER because it's decimal value is non-repeating and non-terminating than cannot be expressed as a fraction. |

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. |

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. |

1/8 | 1/8 is a RATIONAL NUMBER because it is fraction without a denominator of zero. |

-1/2 | -1/2 is a RATIONAL NUMBER because it is a fraction without a denominator of zero. |

-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. |

-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. |

-0.37489289... | -0.37489289... is an IRRATIONAL NUMBER because it is a non-repeating and non-terminating decimal that cannot be expressed as fraction. |

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. |

-3 | -3 is an INTEGER because it is the opposite of a whole number |

-21,000 | -21,000 is an INTEGER because it is the opposite of a whole number |

5/8 | 5/8 is a RATIONAL NUMBER because it is a fraction without a denominator of zero. |

9/10 | 9/10 is a RATIONAL NUMBER because it is a fraction without a denominator of zero. |

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. |

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. |

0.4 | 0.4 is a RATIONAL NUMBER because it is a terminating decimal that can be written as a fraction. |

7.12121212... | 7.12121212... is a RATIONAL NUMBER because it is a repeating decimal that can be written as a fraction. |

THE SQUARE ROOT OF 9 | THE SQUARE ROOT OF 9 is a RATIONAL NUMBER because it has a value of 3. |

5/0 | 5/0 is an IRRATIONAL NUMBER because it is a fraction with a denominator of zero. |

9/0 | 9/0 is an IRRATIONAL NUMBER because it is a fraction with a denominator of zero. |

6/0 | 6/0 is an IRRATIONAL NUMBER because it is a fraction with a denominator of zero. |

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. |

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. |

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. |

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. |

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.) |

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.) |