To find out how many times higher the number of library visits before examination day is compared to the average weekly visits, we can use the following formula:
\[ \text{Times higher} = \frac{\text{Visits before examination day}}{\text{Average weekly visits}} \]
From the information given:
- Visits before the examination day: \(2 \times 10^3 = 2000\)
- Average weekly visits: \(5 \times 10^2 = 500\)
Now, substituting the values into the formula:
\[ \text{Times higher} = \frac{2000}{500} \]
Calculating this gives:
\[ \text{Times higher} = 4 \]
Therefore, the number of library visits before examination day is 4 times higher compared to the library visits in an average week.