To find the product of the numbers [tex]\( 5.05 \)[/tex] and [tex]\( -14.6 \)[/tex], we multiply them together:
1. We start by noting the signs of the numbers. The first number, 5.05, is positive. The second number, -14.6, is negative. The product of a positive number and a negative number is negative.
2. We then multiply the absolute values of the numbers:
[tex]\[
5.05 \times 14.6
\][/tex]
3. After calculating the multiplication, we obtain:
[tex]\[
5.05 \times 14.6 = 73.73
\][/tex]
4. Since we determined that the product of a positive number and a negative number is negative, we apply the negative sign to our result:
[tex]\[
73.73 \rightarrow -73.73
\][/tex]
Thus, the product of [tex]\( 5.05 \)[/tex] and [tex]\( -14.6 \)[/tex] is [tex]\( -73.73 \)[/tex].
Therefore, the correct answer is:
[tex]\[
-73.73
\][/tex]
