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# Identify Properties

### Identifying properties of operation

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

Commutative Property of addition | States that you can add in any order and the sum will remain the same. 7 + 3 = 10; 3 + 7 = 10 |

Commutative Property of multiplication | States that you can multiply in any order and the product will remain the same. 7 x 3 = 21; 3 x 7 = 21 |

Associative Property of addition | Changing the grouping of addends does not change the sum. Example (a+b)+c = a+(b+c); Numeric (7+3)+2 = 7+(3+2); Algebraic (n + 3) + 6 = n + (3 + |

Associative Property of multiplication | Changing the grouping of factors does not change the product. Example (a x b) x c = a x (b x c); Numeric Expression (7 x 3) x 2 = 7 x (3 x 2); Algebraic Expression (n x 3) x 6 = n x |

Additive Identity | Adding zero to a number leaves it unchanged: a + 0 = 0 + a = a |

Multiplicative Identity | Multiplying a number by 1 leaves it unchanged: a × 1 = 1 × a = a |

Multiplicative property of zero | States that the product of any number and zero is zero. a x 0 = 0 |

Distributive Property | States that multiplying a number by a group of numbers added together is the same as doing each multiplication separately. Example: 3 × (2 + 4) = 3×2 + 3×4 |

Inverse Property for addition | The operation that reverses the effect of another operation. Addition and subtraction are inverse operations. 7 + 3 = 10 10 - 3 = 7 |

Inverse Property for multiplication | The operation that reverses the effect of another operation. Multiplication and division are inverse operations. 6x2=12 12 / 6 = 2 |

Created by:
pearcy