https://file.aiquickdraw.com/mathbot/file/1725949603547e1ior7pv.jpg

Let's analyze the problem step by step.

### Given:
- **University A** has approximately \( 4 \times 10^3 \) students.
- **University B** has approximately 40,000 students.

We are asked to find how many times greater the number of students at University B is compared to University A.

### Step 1: Convert the numbers into the same format.

- University A: \( 4 \times 10^3 = 4,000 \) students.
- University B: \( 40,000 \) students.

### Step 2: Find the ratio of students at University B to University A.

\[
\text{Ratio} = \frac{\text{Students at University B}}{\text{Students at University A}} = \frac{40,000}{4,000} = 10
\]

Thus, the number of students at University B is 10 times greater than the number of students at University A.

### Correct Answer: 
\[
\boxed{10}
\]

Let me know if you would like more details or explanations.

### Related Questions:
1. What is the scientific notation of 40,000?
2. How do you calculate ratios involving exponents?
3. How can we use ratios in other real-life comparisons?
4. What happens to a ratio if both numbers are doubled?
5. How does scientific notation help in simplifying large number comparisons?

### Tip:
When working with scientific notation, always convert numbers to the same scale (e.g., both into decimal or both into scientific notation) before performing operations like division or multiplication.

University A has approximately 4 × 10^3 students while University B has approximately 40,000 students. How many times greater is the number of students at university B than the number of students at university A?

Learn how to compare the number of students at two universities using ratios and scientific notation. In this problem, University A has 4,000 students and University B has 40,000 students. The solution shows that the number of students at University B is 10 times greater than at University A.

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