One week before an examination day, a librarian monitored the number of students who visited the library. Then they compared it with the number of visits made in an average week. Approximately 2×10

Question

3
visits were reflected in their logbook during this one-week period, while only about 5×10
2
were reflected on an average week. How many times higher is the number of library visits before examination day compared to the library visits in an average week? Your answer should be a whole number. (1 point)

Answer 1

To find out how many times higher the number of library visits before examination day is compared to the average weekly visits, we can divide the number of visits during the examination week by the average number of visits in a week.

The number of visits during the examination week is \(2 \times 10^3\) and the average number of visits is \(5 \times 10^2\).

Now, performing the division:

\[ \text{Number of times higher} = \frac{2 \times 10^3}{5 \times 10^2} \]

We can simplify this:

\[ = \frac{2}{5} \times \frac{10^3}{10^2} \]

\[ = \frac{2}{5} \times 10^{3-2} \]

\[ = \frac{2}{5} \times 10^1 \]

\[ = \frac{2}{5} \times 10 \]

\[ = \frac{20}{5} = 4 \]

Therefore, the number of library visits before examination day is 4 times higher than the number of visits in an average week.