Fill in the blanks and state the property used:
`(-45) times (69+8)=[(-45) times 69]+`_______

Answer

To solve the question `(-45) times (69+8)=[(-45) times 69]+`_______`, we will use the distributive property of multiplication over addition. Here’s the step-by-step solution:

### Step-by-Step Solution:

1. **Identify the Expression**: We start with the expression `(-45) times (69 + 8)`.

2. **Apply the Distributive Property**: According to the distributive property, when you multiply a number by a sum, you can distribute the multiplication to each term in the sum. This means:
\[ a \times (b + c) = (a \times b) + (a \times c) \]
In our case, \( a = -45 \), \( b = 69 \), and \( c = 8 \).

3. **Distribute the Multiplication**:
\[ (-45) \times (69 + 8) = (-45) \times 69 + (-45) \times 8 \]

4. **Fill in the Blank**: Now we can fill in the blank in the original expression:
\[ (-45) \times (69 + 8) = (-45) \times 69 + (-45) \times 8 \]
Therefore, the blank is filled with `(-45) times 8`.

5. **State the Property Used**: The property used here is the **Distributive Property of Multiplication over Addition**.

### Final Answer:
`(-45) times (69 + 8) = [(-45) times 69] + [(-45) times 8]`