Embed Code - If you would like this activity on your web page, copy the script below and paste it into your web page.

Normal Size Small Size show me how

Normal Size Small Size show me how

# Properties of Real #

### Properties learned in Algebra 1

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

Addition Property of Equality | For every real number a, b, and c, if a = b, then a + c = b + c. |

Subtraction Property of Equality | For every real number a, b, and c, if a = b, then a - c = b - c. |

Multiplication Property of Equality | For every real number a, b, and c, if a = b, then a * c = b * c. |

Division Property of Equality | For every real number a, b, and c, where c is nonzero, if a = b, then a/c = b/c. |

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

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

Identity Property of Multiplication | For every real number a, a * 1 = a. |

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

Distributive Property | For every real number a, b, and c, a(b + c) = ab + ac a(b - c) = ab - ac (b + c)a = ba + ca (b - c)a = ba - ca |

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

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

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

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

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

Associative Property of Multiplication | For every real number a, b, and c, (a * b) * c = a * (b * c) |

Created by:
BNSAlgebra