Estadio Azteca, a stadium in Mexico City, has a capacity of 1.04 × 10^5 people. One day, spectators filled Estadio Azteca in 25 minutes. What was the average number of people who e... Estadio Azteca, a stadium in Mexico City, has a capacity of 1.04 × 10^5 people. One day, spectators filled Estadio Azteca in 25 minutes. What was the average number of people who entered the stadium per minute? Express your answer in scientific notation.
Understand the Problem
The question asks for the calculation of the average number of spectators who entered Estadio Azteca per minute, given its total capacity and the time taken to fill it. This involves performing a simple division of the total capacity by the time in minutes.
Answer
$4.16 \times 10^3$
Answer for screen readers
The average number of spectators who entered Estadio Azteca per minute is $4.16 \times 10^3$.
Steps to Solve
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Identify the Total Capacity and Time The total capacity of Estadio Azteca is given as $1.04 \times 10^5$ people, and the time taken to fill the stadium is 25 minutes.
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Convert Time into Minutes The problem already provides the time in minutes, so we can move directly to the next step.
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Calculate the Average Number of Spectators per Minute We find the average by dividing the total capacity by the time:
[ \text{Average} = \frac{\text{Total Capacity}}{\text{Time in Minutes}} = \frac{1.04 \times 10^5}{25} ]
- Perform the Division Now, we do the division:
[ \text{Average} = 1.04 \times 10^5 \div 25 ]
Calculating this yields:
[ = 4.16 \times 10^3 ]
- Express in Scientific Notation The result should be expressed in scientific notation. Here, it is already in the required format as $4.16 \times 10^3$.
The average number of spectators who entered Estadio Azteca per minute is $4.16 \times 10^3$.
More Information
In scientific notation, $4.16 \times 10^3$ means 4160 spectators entered the stadium each minute. Scientific notation is a convenient way to express large numbers, commonly used in scientific calculations.
Tips
- Misunderstanding scientific notation: Ensure that the number is expressed with one non-zero digit before the decimal point.
- Incorrect division: Double-check calculations, especially in the division step to avoid errors.
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