Question

30 POINTS! What is the product? −4⋅2⋅(−9) Responses −72 negative 72 −11 negative 11 72 72 144

Answer 1

The product of the expression −4⋅ 2⋅(−9) is 72, as the multiplication rules for integers determine that the product of two negative numbers is positive.

Step-by-step explanation:

The student has asked for the product of the expression −4⋅ 2⋅(−9). To find the product, we follow the rules for multiplication of integers. The rules are as follows:

• When two positive numbers multiply, the answer has a +ve sign.
• When two negative numbers multiply, the answer also has a +ve sign.
• When the two numbers multiplied have opposite signs, the answer has a -ve sign.

In this case:

• −4 (negative number) multiplied by 2 (positive number) gives −8 (negative product).
• Then, −8 (negative number) multiplied by −9 (negative number) gives +72 (positive product), because the product of two negative numbers is positive.

So, the final product is 72.