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# Algebra Properties

### Chapter I Properties

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

Associative Property of Addition | For every real number (a + b) + c = a + (b +c) |

Commutative Property of Addition | For every real number a and b, a + b = b + a |

Identity Property of Addition | For every real number n, n + 0 =n |

Inverse Property of Addition | For every real number n, there is an additive inverse –n such that, n + (-n) =0 |

Distributive Property | a (b + c)= ab+ ac (b + c) a= ba + ca a(b –c)= ab- ac (b - c) a= ba – ca |

Associative Property of Multiplication | For every real number (a × b) × c = a × (b × c) |

Commutative Property of Multiplication | For every real number a and b, a × b = b × a |

Identity Property of Multiplication | For every real number n, 1( n) = n |

Inverse Property of Multiplication | For every nonzero real number a, there is a multiplicative inverse 1/a such that a ( 1/a) = 1. |

Multiplication Property of -1 | For every real number, -1 (n) = -n |

Multiplication Property of Zero | For every real number, n × 0 = 0 |

Created by:
bgainer