To find the product of [tex]\(4.05\)[/tex] and [tex]\(-15.6\)[/tex], follow these steps:
1. Understand Multiplication of a Positive and a Negative Number: When you multiply a positive number by a negative number, the result will be negative. So, we expect our product to be negative.
2. Multiply the Absolute Values:
- Start with the absolute values of the numbers: [tex]\(4.05\)[/tex] and [tex]\(15.6\)[/tex].
- Perform the multiplication of these absolute values as if both numbers were positive.
3. Insert the Negative Sign: Since one of the numbers is negative, the final result will also be negative.
Having recognized the calculations and the rules of multiplication, the product of [tex]\(4.05\)[/tex] and [tex]\(-15.6\)[/tex] is:
[tex]\[
-63.18
\][/tex]
Thus, out of the given options:
[tex]\[
\boxed{-63.18}
\][/tex]
is the correct product.
