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# Propeties

### Algebra 1 Chapter 2 Properties

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

a+(-a)=0 and (-a)+a=0 | Property of Opposites |

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

ab=ba | Communicative Property of Multiplication |

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

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

a=a | Reflexive Property of Equality |

a=b, then b=a | Symmetric Property of Equality |

a=b and b=c, then a=c | Transitive Property of Equality |

a+0=a and 0+a=a | Identity Property of Addition |

-(a+b)=(-a)+(-b) | Property of the Opposite of a Sum |

a-b=a+(-b) | Definition of Subtraction |

a(b+c)=ab+ac and (b=c)a=ba+ca | Distributive Property(of multiplication with respect to Addition |

a(-c)=ab-ac and (b-c)a+ba-ca | Distributive Property(of Multiplication with respect to subtraction |

a x 1=a | Identity Property of Multiplication |

a x 0=0 | Multiplicative Property of Zero |

a(-1)=-a and (-1)a=-a | Multiplicative Property of -1 |

(-a)(b)=-ab a(-b)=-ab (-a)(-b)=ab | Property of Opposites in Products |

1/-a=-1/a | Property of the Reciprocals of the opposite of a Number |

a x 1/a=1 and 1/a x =1 | Property of Reciprocals |

1/ab=1/a x 1/b | Property of the Reciprocals of a Product |

a/b=a x 1/b | Definition of Division |

Created by:
ekbe3