Question

There are 1 × 1014 good bacteria in the human body. There are 2.6 × 1018 good bacteria among the spectators in a soccer stadium. About how many spectators are in the stadium? Express your answer in scientific notation.

Answer 1

Answer:

There are $2.6\times 10^{4}$ spectators in the soccer stadium.

Step-by-step explanation:

From this statement, we can calculate the number of spectators in a soccer stadium by dividing the amount of bacteria among the spectators in a soccer stadium by the amount of bacteria in the human body. That is:

$x = \frac{2.6\times 10^{18}\,bacteria}{1\times 10^{14}\,bacteria}$

$x = \frac{2.6}{1}\times \frac{10^{18}}{10^{14}}$

$x = 2.6\times 10^{18-14}$

$x = 2.6\times 10^{4}$

There are $2.6\times 10^{4}$ spectators in the soccer stadium.