Evaluate the following using properties for multiplication to simplify the multiplication.
`125 times 13 times (-8)`

Answer

To evaluate the expression \( 125 \times 13 \times (-8) \) using properties of multiplication, we can follow these steps:

### Step 1: Use the Associative Property
We can group the numbers in a way that makes the multiplication easier. Here, we will group \( 125 \) and \( -8 \) together:
\[ (125 \times -8) \times 13 \]

### Step 2: Multiply \( 125 \) and \( -8 \)
Now, we will calculate \( 125 \times -8 \):
\[ 125 \times -8 = - (125 \times 8) \]
Calculating \( 125 \times 8 \):
- \( 8 \times 5 = 40 \) (write down 0 and carry over 4)
- \( 8 \times 2 = 16 \), plus the carry \( 4 \) gives \( 20 \) (write down 0 and carry over 2)
- \( 8 \times 1 = 8 \), plus the carry \( 2 \) gives \( 10 \)

So, \( 125 \times 8 = 1000 \). Therefore:
\[ 125 \times -8 = -1000 \]

### Step 3: Multiply the Result by \( 13 \)
Now we take the result from the previous step and multiply it by \( 13 \):
\[ -1000 \times 13 \]
Calculating this gives:
\[ -1000 \times 13 = -13000 \]

### Final Answer
Thus, the final answer is:
\[ \boxed{-13000} \]

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