ne 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(3)

Question

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 the examination day is compared to the average week, you can divide the two values.

The number of visits before the examination day is approximately \( 2 \times 10^{3} \) and the average weekly visits are approximately \( 5 \times 10^{2} \).

Now, perform the division:

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

This can be simplified as follows:

\[ = \frac{2}{5} \times \frac{10^{3}}{10^{2}} \] \[ = \frac{2}{5} \times 10^{(3 - 2)} \] \[ = \frac{2}{5} \times 10^{1} \] \[ = \frac{2}{5} \times 10 \] \[ = \frac{20}{5} \] \[ = 4 \]

So, the number of library visits before examination day is 4 times higher compared to the library visits in an average week.