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

There are
`2.6* 10^(4)` spectators in the soccer stadium.

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 = (2.6* 10^(18)\,bacteria)/(1* 10^(14)\,bacteria)`

`x = (2.6)/(1)* (10^(18))/(10^(14))`

`x = 2.6* 10^(18-14)`

`x = 2.6* 10^(4)`

There are
`2.6* 10^(4)` spectators in the soccer stadium.