Explanation
We are given a word problem
For this question, let the unknown number be x
Eight times the product of negative five and a number.
So, we will analyze the statement step by step
Negative five simply means -5
Step 1:
The product of negative five and a number will be
[tex]-5\times x=-5x[/tex]Step 2:
Eight times the product of negative five and a number will be
[tex]8\times[answer\text{ of step 1\rbrack= 8}\times[-5x]=8\times-5x=-40x[/tex]Therefore the algebraic expression will be -40x
The answer is -40x