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# HHS-Prop. of Real #s

### Commutative, Associative, Inverse, Identity, Distributive

Question | Answer |
---|---|

Associative Property of Addition | For this property, the order of the numbers stays the same and the parentheses move. EX: 2 + ( 3 + 4 ) = ( 2 + 3 ) + 4 |

Associative Property of Multiplication | For this property, the order of the numbers stays the same and the parentheses move. EX: 2 ( 3 x 4 ) = ( 2 x 3 ) x 4 |

Commutative Property of Addition | For this property you add two numbers together and then reverse the order on the other side. EX: 4 + 6 = 6 + 4 |

Commutative Property of Multiplication | For this property you multiply numbers together and reverse the order of these numbers on the other side. EX: 2 + ( 3 x 5 ) = 2 + ( 5 x 3 ) |

Identity Property of Addition | For this property you must start and end with the same number and the operation must be addition. EX: 5 + 0 = 5 |

Identity Property of Multiplication | For this property you must start and end with the same number and the operation must be multiplication. EX: 4 x 1 = 4 |

Inverse Property of Addition | For this property you must add the opposite of the term and the sum equals zero. EX: 5x + ( - 5x ) = 0 |

Inverse Property of Multiplication | For this property you must divide or multiply by the reciprocal of the first term to come up with a value of one. EX: (4/3)x(3/4)=1 |

Distributive Property | When you multiply a term through a set of parentheses. EX: 4(x-1) = 4x-4 |

Natural Numbers | The set of all counting numbers. {1, 2, 3, 4, 5, ...} |

Whole Numbers | The set of all counting numbers with 0 also included. {0, 1, 2, 3, 4, ...} |

Integers | The set of all whole numbers including the negative of these numbers. These are the positive and negative "nice" numbers. |

Rational Numbers | The set of all fractions, repeating decimals, and terminating decimals. EX: 2/3, 1.7777..., 4.9 |

Irrational Numbers | The set of all non-terminating AND non-repeating decimals. This set includes the square roots that cannot be simplified down to whole numbers. |

Created by:
christyk@esu9.org