Match the following.1 .multiplicative identitythe number 0; when added to any number, the value of the number does not change2 . multiplicative inversethe opposite or negative of a number; the sum of a number and its additive inverse is 03 . commutative propertya property of the real numbers which states that how numbers are grouped in a sum or product does not change the value4 . additive identitya property of the real numbers which states that the order in which numbers are added or multiplied does not change the value5 . additive inversea(b + c) = ab + ac, or a(b - c) = ab - ac6 . associative propertythe number 1; when multiplied by any number, the value of the number does not change7 . distributive propertythe reciprocal of a number; the product of a number and its multiplicative inverse is 1

Answer:1. Multiplicative identity:The number 1; when multiplied by any number, the value of the number does not change.2. Multiplicative inverse:The reciprocal of a number; the product of a number and its multiplicative inverse is 1.3. Commutative property:a property of the real numbers which states that the order in which numbers are added or multiplied does not change the value4. Additive identity:The number 0; when added to any number, the value of the number does not change.5. Additive inverse:The opposite or negative of a number; the sum of a number and its additive inverse is 06. Associative property:a property of the real numbers which states that how numbers are grouped in a sum or product does not change the value7. Distributive property:a(b + c) = ab + ac, or a(b - c) = ab - acStep-by-step explanation:1. Multiplicative identity:Ex: 3 × 1 = 32. Multiplicative inverse:Ex: The multiplicative inverse of 2 is 1/2 ⇒ 2 × 1/2 = 13. Commutative property:Ex: 2 + 3 + 5 = 10 ,  3 + 2 + 5 = 10 ,  5 + 3 + 2 = 10      2 × 3 × 5 = 30 , 3 × 2 × 5 = 30 , 5 × 3 × 2 = 304. Additive identity:Ex: 2 + 0 = 25. Additive inverse:Ex: The additive inverse of 5 is -5 ⇒ 5 + -5 = 06. Associative property:Ex: 2 + (3 + 5) = (2 + 3) + 5      2× (3 × 5) = (2 × 3) × 57. Distributive property:Ex: 2(3 + 5) = 2 × 3 + 2 × 5      2(5 - 3) = 2 × 5 - 2 × 3