Step-by-step 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

Step 2:
Eight times the product of negative five and a number will be
![8*[answer\text{ of step 1\rbrack= 8}*[-5x]=8*-5x=-40x](https://img.qammunity.org/2023/formulas/mathematics/college/mve2uq78l4o0uanatzuqi7ul2xebynzaev.png)
Therefore the algebraic expression will be -40x
The answer is -40x