Questions: Multiply. You may want to determine the sign of the product before you multiply. -6(-5)(-6)(1) -6(-5)(-6)(1)=

Transcript text: Multiply. You may want to determine the sign of the product before you multiply. \[ \begin{array}{r} -6(-5)(-6)(1) \\ -6(-5)(-6)(1)= \end{array} \]

Solution

Solution Steps

To solve the multiplication problem, first determine the sign of the product by counting the number of negative numbers. If the count is odd, the product is negative; if even, the product is positive. Then, multiply the absolute values of the numbers.

Step 1: Determine the Sign of the Product

To determine the sign of the product, count the number of negative numbers in the multiplication. The numbers are \(-6\), \(-5\), \(-6\), and \(1\). There are three negative numbers. Since the count of negative numbers is odd, the product will be negative.

Step 2: Calculate the Product of Absolute Values

Next, calculate the product of the absolute values of the numbers: \[ |-6| \times |-5| \times |-6| \times |1| = 6 \times 5 \times 6 \times 1 = 180 \]

Step 3: Apply the Sign to the Product

Since the product is negative, apply the negative sign to the calculated product: \[ -180 \]