Property Term Definition a quality or trait belonging and especially particular to an individual or thing property additive inverse multiplicative inverse Property Identity Property of Addition Associative Property of Addition a number’s opposite the reciprocal of the number Definition You can add zero to any number and the number will remain the same. The product of any Identity Property of number and one is that number. Multiplication The product of any Zero Property of number and zero is zero. Multiplication Commutative Property of Addition Commutative Property of Multiplication No matter which order the numbers are added, the sum of the numbers is the same. Example Key Word Associative Property of Multiplication Distributive Property of Multiplication Inverse Property of Addition 19035Definition No matter what order the numbers are multiplied, the product of the numbers is the same No matter how the numbers are grouped, the sum will be the same. No matter which order the numbers are grouped, the product of the numbers is the same. If one factor is a sum, multiplying the parts before adding does not change the product. If you add a number and its opposite (additive invers), the sum is zero. If you multiply a Inverse Property of number by its reciprocal Multiplication (multiplicative inverse), the product is one. Example Key Word