# Basic Laws of Algebra

The **Basic Laws of Algebra** are the associative, commutative and distributive laws. They help explain the relationship between number operations and lend towards simplifying equations or solving them.

Property Name |
Definition |
Example |

Commutative Law For Addition | The arrangement of addends does not affect the sum. |
If , then |

Commutative Law For Multiplication | The arrangement of factors does not affect the product. |
If , then |

Associative Law For Addition | The grouping of addends does not affect the sum. |
If , then |

Associative Law For Multiplication | The grouping of factors does not affect the product. |
If , then . |

Distributive Law | Adding numbers and then multiplying them yields the same result as multiplying numbers and then adding them. |
If , then |