5. tom must use a combination of positive and negative round tiles to show how to find the product of…

5. tom must use a combination of positive and negative round tiles to show how to find the product of (-2)(-2)(-2). which diagram should he use?

5. tom must use a combination of positive and negative round tiles to show how to find the product of (-2)(-2)(-2). which diagram should he use?

Answer

Explanation:

Step1: Calculate the product

$(-2)\times(-2)\times(-2)=(-2)^3=-8$. We know that a negative times a negative is positive, and a positive times a negative is negative. When using tiles, negative tiles are used to represent negative numbers.

Step2: Analyze each option

We need to start with negative - value tiles (blue - colored in the diagrams), multiply them step - by - step, and end up with a negative result. The first multiplication $(-2)\times(-2) = 4$ (two negative 2s multiplied gives a positive 4). Then $4\times(-2)=-8$. We should start with negative tiles, get positive tiles after the first multiplication, and then end up with negative tiles after the second multiplication.

Answer:

There is no option text provided along with the diagrams. But the correct sequence should start with negative tiles (blue), then show positive tiles after the first multiplication of the two negative numbers, and then show negative tiles again after multiplying the positive result by the third negative number.