Verify and state the property used in each of the following.
`(-67) times (293)=67 times (-293)`

Answer

To verify the equation \((-67) \times 293 = 67 \times (-293)\), we will follow these steps:

### Step 1: Calculate the left-hand side (LHS)
We start with the left-hand side of the equation:
\[ LHS = (-67) \times 293 \]
Calculating this gives:
\[ LHS = -67 \times 293 = -19651 \]

### Step 2: Calculate the right-hand side (RHS)
Now, we calculate the right-hand side of the equation:
\[ RHS = 67 \times (-293) \]
Calculating this gives:
\[ RHS = 67 \times -293 = -19651 \]

### Step 3: Compare LHS and RHS
Now we compare the results from both sides:
\[ LHS = -19651 \quad \text{and} \quad RHS = -19651 \]
Since both sides are equal, we have:
\[ (-67) \times 293 = 67 \times (-293) \]

### Conclusion
The equation is verified as true.

### Property Used
The property used in this verification is the **Commutative Property of Multiplication**, which states that changing the order of the numbers being multiplied does not change the product. In this case, we also used the property of multiplying a negative number with a positive number, which results in a negative product.

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