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 5×102 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.

Answer 1

To find out how many times higher the number of library visits before examination day compared to the number of visits in an average week, we start by converting the scientific notation into standard form.

1. Convert the number of visits during the one-week examination monitoring: \[ 2 \times 10^3 = 2000 \text{ visits} \]

2. Convert the number of visits during an average week: \[ 5 \times 10^2 = 500 \text{ visits} \]

3. Now, to find out how many times higher the number of visits before the exam is compared to the average week, we divide the two amounts: \[ \text{Number of times higher} = \frac{2000 \text{ visits}}{500 \text{ visits}} = 4 \]

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