1. the reciprocal of a number; the product of a number and its multiplicative inverse is 1

Question

additive inverse
2. the opposite or negative of a number; the sum of a number and its additive inverse is 0
commutative property
3. the number 1; when multiplied by any number, the value of the number does not change
multiplicative inverse
4. a property of the real numbers which states that the order in which numbers are added or multiplied does not change the value
multiplicative identity
5. the number 0; when added to any number, the value of the number does not change
associative property
6. a property of the real numbers which states that how numbers are grouped in a sum or product does not change the value
additive identity

Answer 1

Here is the corrected matching of the definitions with the terms:

1. The reciprocal of a number; the product of a number and its multiplicative inverse is 1
   Term: multiplicative inverse

2. The opposite or negative of a number; the sum of a number and its additive inverse is 0
   Term: additive inverse

3. The number 1; when multiplied by any number, the value of the number does not change
   Term: multiplicative identity

4. A property of the real numbers which states that the order in which numbers are added or multiplied does not change the value
   Term: commutative property

5. The number 0; when added to any number, the value of the number does not change
   Term: additive identity

6. A property of the real numbers which states that how numbers are grouped in a sum or product does not change the value
   Term: associative property

So, the answers match up as follows:

1 → multiplicative inverse
2 → additive inverse
3 → multiplicative identity
4 → commutative property
5 → additive identity
6 → associative property