Kelley Mccarthy
07/23/2023 · Elementary School
4) There are \( 1 \times 10^{14} \) good bacteria in the human body. There are \( 2.6 \times 10^{18} \) good bacteria among the spectators in a soccer stadium. About how many spectators are in thetstadium? Express your answer in scientific notation.
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Step-by-step Solution
To find the number of spectators in the soccer stadium, we can start by noting that the number of good bacteria among the spectators is given as \( 2.6 \times 10^{18} \).
We know that there are \( 1 \times 10^{14} \) good bacteria in the human body. To find the number of spectators, we can divide the total number of good bacteria among the spectators by the number of good bacteria per person (assuming each spectator has the same number of good bacteria as an average human body).
The calculation is as follows:
\[
\text{Number of spectators} = \frac{\text{Total good bacteria among spectators}}{\text{Good bacteria per person}} = \frac{2.6 \times 10^{18}}{1 \times 10^{14}}
\]
Now, we can simplify this division:
\[
\text{Number of spectators} = 2.6 \times 10^{18 - 14} = 2.6 \times 10^{4}
\]
Thus, the number of spectators in the stadium is approximately:
\[
\boxed{2.6 \times 10^{4}}
\]
This means there are about 26,000 spectators in the stadium.
Quick Answer
The number of spectators in the stadium is approximately \( 2.6 \times 10^{4} \).
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