**Study Guide for Math – Properties of Multiplication**

**Study Guide for Math – Properties of Multiplication**

6 |

6 x 2 = 12 |

12 |

**Product**** - the answer to a **multiplication** problem**

** **

**Product**

**Identity Property of Multiplication**

The property that states that the product of any number and 1 is that number.**Identity Property of Multiplication**

*Example:***9 x 1 = 1 x 9**

**Zero Property of Multiplication**

The property that states that the product of 0 and any number is 0 **Zero Property of Multiplication**

*Examples*

*:***0 x 8 = 0**

13 x 0 = 0

13 x 0 = 0

**Commutative Property of Multiplication**

The property that states that when the order of two factors is changed, the product is the same.**Commutative Property of Multiplication**

*Example**:*

**4 x 5 = 5 x 4**

**Associative Property of Multiplication**

The property that states you can group factors in different ways and still get the same product.**Associative Property of Multiplication**

*Example:***3 x (4 x 2) = (3 x 4) x 2**

**Distributive Property**

The property that states that multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products. **Distributive Property**

*Example:***5 x 16 = 5 x (10 + 6)**