To find out how many times higher the number of library visits one week before the examination day is compared to the average visits in a week, we can divide the number of visits before the examination by the average number of visits.
Given:
- Number of visits before examination = \(2 \times 10^3\)
- Average number of visits = \(5 \times 10^2\)
Now, calculate:
\[ \text{Number of times higher} = \frac{2 \times 10^3}{5 \times 10^2} \]
This simplifies to:
\[ = \frac{2}{5} \times \frac{10^3}{10^2} \]
\[ = \frac{2}{5} \times 10^{3-2} \]
\[ = \frac{2}{5} \times 10^1 \]
\[ = \frac{2 \times 10}{5} \]
\[ = \frac{20}{5} = 4 \]
Therefore, the number of library visits before examination day is 4 times higher than the average number of visits in a week.