0 + (- 33) = - 33
A.Closure Property
B. Zero Addition Property
C.None of the answers are correct
D. Commutative Property
E. Identity Property

Select the property demonstrated in the following:

(- 8)(- 3 + 17) = (- 8)(- 3) + (- 8)(17)

A. Closure Property
B. None of the answers are correct. C. Distributive Property
D. Commutative Property E.Associative Property

Select the property demonstrated in the following:

- 8 + 45 € J
A . None of the answers are correct
B . Distributive Property
C. Closure Property
D. Commutative Property
E.Associative Property

1. **0 + (- 33) = - 33**: This demonstrates the **Zero Addition Property** (also known as the Additive Identity Property). According to this property, adding zero to any number leaves the number unchanged. So, the answer is **B. Zero Addition Property**.

2. **(- 8)(- 3 + 17) = (- 8)(- 3) + (- 8)(17)**: This demonstrates the **Distributive Property**. According to this property, multiplication distributes over addition or subtraction. So, the answer is **C. Distributive Property**.

3. **- 8 + 45 € J**: This expression seems to contain a symbol (€ J) that is not standard in mathematical operations. Therefore, none of the given properties apply to this expression. So, the answer is **A. None of the answers are correct**.