Question

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