To find how many times higher the number of library visits before examination day is compared to the average number of visits, we can divide the number of visits during the examination week by the number of visits in an average week.
Given:
- Visits during examination week = \( 2 \times 10^3 = 2000 \)
- Average visits per week = \( 5 \times 10^2 = 500 \)
Now, we perform the division:
\[ \text{Times higher} = \frac{\text{Visits during examination week}}{\text{Average visits per week}} = \frac{2000}{500} \]
Calculating this:
\[ \frac{2000}{500} = 4 \]
Thus, the number of library visits before examination day is 4 times higher than the number of library visits in an average week.