A **Rational Number** can be make by separating an essence by an integer.

You are watching: Is -8 a rational number**(An creature itself has no fractional part.)**

### Example:

**1.5 is a reasonable number** since 1.5 = 3/2 (3 and 2 space both integers)

Most numbers we usage in daily life room Rational Numbers.

You have the right to make a couple of rational numbers yourself utilizing the sliders below:

Number together a portion Rational?

5 | 5/1 | Yes |

1.75 | 7/4 | Yes |

1000 | 1000/1 | Yes |

.001 | 1/1000 | Yes |

−0.1 | −1/10 | Yes |

0.111... | 1/9 | Yes |

√2(square source of 2) | ? | NO ! |

Oops! The square root of 2 cannot be written as a basic fraction! and also there room many more such numbers, and also because they are **not rational** lock are referred to as Irrational.

Another famous **irrational** number is Pi (π):

## Formal an interpretation of rational Number

More formally we say:

A rational number is a number that deserve to be in the form** p/q****where p** and also **q** are integers and also **q** is no equal to zero.

p q ns / 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 it is in zero! |

Just remember: q can"t be zero

## Using rational Numbers

If a rational number is still in the type "p/q" it have the right to be a little daunting to use, for this reason I have actually a special page on exactly how to: Add, Subtract, Multiply and Divide rational Numbers |

### Fun truth ....

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The old greek mathematician **Pythagoras** thought that every numbers were rational, yet one that his student **Hippasus** confirmed (using geometry, that is thought) the you might **not** write the square source of 2 together a fraction, and also so it to be irrational.

But followers of Pythagoras might not accept the presence of irrational numbers, and it is said that Hippasus was drowned in ~ sea as a penalty from the gods!