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# Properties of Math

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

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

Commutative Property of Multiplication | a*b=b*a |

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

Associative Property of Multiplication | a*(b*c)=(a*b)*c |

Distributive Property | a(b+c)=ab+ac |

Additive Identity Property | a+0=a or 0+a=a |

Additive Inverse Property | a+-a=0 or -a+a=0 |

Multiplicative Property of Zero | a*0=0 or 0*a=0 |

Multiplicative Identity Property | a*1=a or 1*a=a |

Multiplicative Inverse Property | a*1/a=1 or 1/a*a=1 |

Addition Property of Equality | whatever is added to one side of the equal sign must be added to the other side |

Subtraction Property of Equality | whatever is subtracted from one side of the equal sign must be subtracted from the other side |

Multiplicative Property of Equality | whatever is multiplied to one side of the equal sign must be multiplied to the other side |

Division Property of Equality | for any real numbers a, b, and c where c is not equal to zero, if a=b, then a/c=b/c |