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# Numbers and Integers

### Maths

Term | Definition |
---|---|

Absolute Value | if n is positive, |n| = n if n is negative |n| = -n |

The Addition Property of Equality | for all rational numbers if a = b then a + c = b + c |

The Addition Property of Inequalities | for all rational numbers a, b and c if a < b then a + c < b + c if a > b then a + c > b + c similar statements can be made for ≤ and |

Additive Inverses | two rational numbers whose sum is 0. |

Associative Property of Addition | a + (b + c) = (a + b) + c |

Associative Property of Multiplication | a(bc) = (ab)c |

The Closure Property of Addition | if a and b are real numbers a + b is a real number. |

The Closure Property of Multiplication | if a and b are real numbers ab is a real number. |

Commutative Property of Addition | a + b = b + a |

Commutative Property of Multiplication | ab = ba |

Density Property | between any two rational numbers, there is another rational number. |

Distributive Property of Multiplication Over Addition | a(b + c) = ab + ac and (b+c)a = ba + ca |

Distributive Property of Multiplication over Subtraction | a(b - c) = ab =ac and (b-c)a = ba -ca |

Dividing a number by itself | when a≠0, a/a =1 |

Created by:
garfieldwhitebooi