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# Math Properties

### Practice 6th grade

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

1 ) The product of any number and one is that number. For example a x 1 = a. | Identity Property of Multiplication |

2 ) The sum of any number and zero is the original number. For example a + 0 = a. | Identity Property of Addition |

3 ) The additive inverse of a number, a is -a so that a + -a = 0. | Additive Inverse |

4 ) The sum of two numbers times a third number is equal to the sum of each addend times the third number. For example a x (b + c) = a x b + a x c | Distributive Property |

5 ) The multiplicative inverse of a number, a is 1/a so that a | Multiplicative Property of Inverse or Reciprocal |

7 ) When two numbers are multiplied together, the product is the same regardless of the order of the multiplicands. For example a x b = b x a | Commutative Property |

8 ) The additive inverse of a number, a is -a so that a + -a = 0. | Additive Inverse or Opposites |

9 ) Multiplying any number by 0 yields 0. For example a x 0 = 0. | Multiplication by Zero or Zero Property of Multiplication |

10 ) When three or more numbers are added, the sum is the same regardless of the grouping of the addends. For example (a + b) + c = a + (b + c) | Associative Property of Addition |

11 ) The sum of any number and zero is the original number. For example a + 0 = a. | Identity Property of Addition |

12 ) Multiplying any number by 0 yields 0. For example a x 0 = 0. | Multiplication by Zero or Zero Property of Multiplication |

13 ) When three or more numbers are added, the sum is the same regardless of the grouping of the addends. For example (a + b) + c = a + (b + c) | Associative Property of Addition |

14 ) When three or more numbers are multiplied, the product is the same regardless of the order of the multiplicands. For example (a x b) x c = a x (b x c) | Associative Property of Multiplication |

15 ) The sum of two numbers times a third number is equal to the sum of each addend times the third number. For example a x (b + c) = a x b + a x c | Distributive Property |

Created by:
tcsmem