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 × 103 visits were reflected in their logbook during this one-week period, while only about 5 x 10} 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)

Question

times
Check answer
Remaining Attempts : 3

Answer 1

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

The visits before examination day: \( 2 \times 10^3 \) The average number of visits in a week: \( 5 \times 10^2 \)

Now we perform the division: \[ \text{Times higher} = \frac{2 \times 10^3}{5 \times 10^2} \]

Simplifying this: \[ = \frac{2}{5} \times \frac{10^3}{10^2} \] \[ = \frac{2}{5} \times 10^{3-2} \] \[ = \frac{2}{5} \times 10^1 \] \[ = \frac{2}{5} \times 10 = 4 \]

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