To find out how many times higher the number of library visits before examination day is compared to the average weekly visits, we can set up the following calculation:
- Library visits before examination day: \( 2 \times 10^3 = 2000 \)
- Average weekly visits: \( 5 \times 10^2 = 500 \)
Now we divide the number of visits before the examination by the average weekly visits:
\[ \text{Ratio} = \frac{\text{Visits before exam}}{\text{Average visits}} = \frac{2000}{500} \]
Calculating this gives:
\[ \frac{2000}{500} = 4 \]
Thus, the number of library visits before examination day is 4 times higher than the average weekly visits.