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.(1 point)
To find the number of times higher the number of library visits before the examination day compared to the number of 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.
Number of visits before examination day = 2 × 10^3
Number of visits in an average week = 5 × 10^2
Number of times higher = (2 × 10^3) / (5 × 10^2)
Since 10^3 is 1,000 and 10^2 is 100, we can simplify the expression:
Number of times higher = (2 × 1,000) / (5 × 100)
Number of times higher = 2,000 / 500
Number of times higher = 4
Therefore, the number of library visits before the examination day is 4 times higher compared to the number of visits in an average week.
To sum up it, the answer is 4.
Yes, that is correct. The number of library visits before the examination day is 4 times higher compared to the number of visits in an average week.
To determine how many times higher the number of library visits before the examination day is compared to an average week, we need to find the ratio between the two.
The number of visits in two weeks is approximately 2×10^3.
The number of visits in an average week is approximately 5×10^2.
To find the ratio, we divide the number of visits in two weeks by the number of visits in an average week:
Ratio = (2×10^3) / (5×10^2)
To simplify this expression, we can cancel out a factor of 10^2 from both the numerator and denominator:
Ratio = (2×10^3) / (5×10^2) = 2/5
So, the number of library visits before the examination day is 2/5 times higher compared to an average week.
As a whole number, this ratio is approximately 0.4. Thus, the number of library visits before the examination day is 0.4 times higher compared to an average week.
To find the number of 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.
Let's calculate it step by step:
1. Number of visits before the examination day: 2×10^3
2. Number of visits in an average week: 5×10^2
Now, divide the number of visits before the examination day by the number of visits in an average week:
(2×10^3) / (5×10^2)
When dividing numbers in scientific notation, you can divide the base numbers and subtract the exponents. In this case, you divide 2 by 5 and subtract the exponents:
(2 / 5) × 10^(3 - 2)
2 divided by 5 is 0.4, and 3 - 2 is 1, so the equation simplifies to:
0.4 × 10^1
Finally, multiply 0.4 by 10 to get the whole number answer:
0.4 × 10 = 4
Therefore, the number of library visits before the examination day is 4 times higher compared to the library visits in an average week.