A **Rational Number** deserve to be made by splitting two integers.

You are watching: Is -4 a rational number**(An integer is a number with no fractional component.)**

### Example:

**1.5 is a rational number** because 1.5 = 3/2 (3 and also 2 are both integers)

NumberAs a FractionRational?

5 | 5/1 | Yes |

1.75 | 7/4 | Yes |

.001 | 1/1000 | Yes |

−0.1 | −1/10 | Yes |

0.111... | 1/9 | Yes |

√2(square root of 2) | ? | NO ! |

Oops! The square root of 2 cannot be created as a straightforward fraction! And tright here are many kind of even more such numbers, and because they are **not rational** they are dubbed Irrational.

Anvarious other famed **irrational** number is Pi (π):

## Formal Definition of Rational Number

More formally we say:

A rational number is a number that have the right to be in the form** p/q****where p** and **q** are integers and **q** is not equal to zero.

pqp / q=

1 | 1 | 1/1 | 1 |

1 | 2 | 1/2 | 0.5 |

55 | 100 | 55/100 | 0.55 |

1 | 1000 | 1/1000 | 0.001 |

253 | 10 | 253/10 | 25.3 |

7 | 0 | 7/0 | No! "q" can"t be zero! |

Just remember: q can not be zero

## Using Rational Numbers

If a rational number is still in the develop "p/q" it have the right to be a little hard to usage, so I have actually a one-of-a-kind web page on exactly how to: Add, Subtract, Multiply and also Divide Rational Numbers |

### Fun Facts ....

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The primitive greek mathematician **Pythagoras** believed that all numbers were rational, however one of his students **Hippasus** showed (using geomeattempt, it is thought) that you could **not** compose the square root of 2 as a portion, and so it was irrational.

But followers of Pythagoras can not accept the presence of irrational numbers, and also it is shelp that Hippasus was drowned at sea as a punishment from the gods!