Question

This stadium can hold 100,000, or 1 x 105, people. The number of atoms in a grain of iron is about 1 x 1018. Would you need 1 x 1010 or 1 x 1013 stadiums to hold the same number of people as the number of atoms in a grain of iron? Explain your answer.

HELP ME PLZ!!!!!

Answer 1

1 x 10^13 stadiums

Step-by-step explanation:

We are given that;

1 stadium holds = 1 × 10^5 people

Number of iron atoms is 1 × 10^18 atoms

Assuming the stadium would carry an equivalent number of atoms as people.

Then, 1 stadium will carry 1 × 10^5 atoms

Therefore,

To calculate the number of stadiums that can hold 1 × 10^18 atoms we divide the total number of atoms by the number of atoms per stadium. Number of stadiums = Total number of atoms ÷ Number of atoms per stadium

= 1 × 10^18

atoms ÷ 1 × 10^5 atoms/stadium =

1 × 10^13 Stadiums

Thus, 1 × 10^18 atoms would occupy 1 × 10^13 stadiums