Sure! Let's find the product of [tex]\((-8)\)[/tex] and [tex]\(2\)[/tex].
Step 1: Identify the numbers to be multiplied.
We have two numbers: [tex]\(-8\)[/tex] and [tex]\(2\)[/tex].
Step 2: Understand the property of multiplication with negative numbers.
Remember that the product of a negative number and a positive number is always negative.
Step 3: Perform the multiplication.
Multiply the absolute values of the two numbers. The absolute value of [tex]\(-8\)[/tex] is [tex]\(8\)[/tex], and the absolute value of [tex]\(2\)[/tex] is [tex]\(2\)[/tex].
[tex]\[ 8 \times 2 = 16 \][/tex]
Step 4: Apply the sign rule.
Since one of the numbers is negative and the other one is positive, our product is negative.
[tex]\[ - (8 \times 2) = -16 \][/tex]
Therefore, the product of [tex]\((-8)\)[/tex] and [tex]\(2\)[/tex] is [tex]\(-16\)[/tex].
