Question
Two weeks 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
visits were reflected in their logbook during this two-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.
To find out how many times higher the number of library visits before examination day is compared to the library visits in an average week, we can divide the number of visits before examination day by the number of visits in an average week.
The number of visits before examination day is given as 2×10^3, and the number of visits in an average week is given as 5×10^2.
Dividing the number of visits before examination day by the number of visits in an average week:
(2×10^3) / (5×10^2) = (2/5)×(10^3/10^2) = (2/5)×(10^(3-2)) = 0.4×10^1 = 4
Therefore, the number of library visits before examination day is 4 times higher compared to the library visits in an average week.
To find how many times higher the number of library visits before the examination day is compared to the library visits in an average week, we need to divide the number of visits before the examination day by the number of visits in an average week.
The number of visits before the examination day is approximately 2×10^3, and the number of visits in an average week is approximately 5×10^2.
Dividing 2×10^3 by 5×10^2 gives us (2×10^3) / (5×10^2) = (2/5) × (10^3 / 10^2) = (2/5) × 10^1 = (2/5) × 10 = 2 × 2 = 4.
Therefore, the number of library visits before the examination day is 4 times higher compared to the library visits in an average week.
To find out how many times higher the number of library visits before the examination day is compared to the average week, we need to calculate the ratio between the two.
First, let's calculate the average number of library visits in a week by dividing the total number of visits reflected in an average week by the number of weeks:
Average weekly visits = (5×10^2) / 1 = 5×10^2
Next, let's calculate the number of library visits before the exam day by subtracting the average weekly visits from the total visits during the two-week period:
Number of visits before the exam day = (2×10^3) - (5×10^2) = (2 - 0.5) × 10^3 = 1.5 × 10^3
Now we can calculate the ratio:
Ratio = Number of visits before the exam day / Average weekly visits
= (1.5 × 10^3) / (5×10^2)
= (1.5 / 5) × (10^3 / 10^2)
= 0.3 × 10^(3-2)
= 0.3 × 10^1
= 0.3 × 10
= 3
Therefore, the number of library visits before the examination day is 3 times higher than the number of visits in an average week.