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17 June, 15:25

This stadium can hold 100,000, or 1 x 10^5, people. The number of atoms in a grain of iron is about 1 x 10^18. Would you need 1 x 10^10 or 1 x 10^13 stadiums to hold the same number of people as the number of atoms in a grain of iron? Explain your answer.

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  1. 17 June, 17:58
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    1 x 10^13 stadiums

    Explanation:

    From the question;

    1 x 10^5 people can fill 1 stadium

    We are given, 1 x 10^18 atoms of iron

    We are required to determine the number of stadiums that 1 x 10^18 atoms of iron would occupy.

    We are going to assume that a stadium would occupy a number of atoms equivalent to the number of people.

    Therefore;

    One stadium = 1 x 10^5 atoms

    Then, to find the number of stadiums that will be occupied by 1 x 10^18 atoms;

    No. of stadiums = Total number of atoms : Atoms in a single stadium

    = 1 x 10^18 atoms : 1 x 10^5 atoms

    = 1 x 10^13 stadiums

    Therefore, 1 x 10^18 atoms of iron would occupy 1 x 10^13 stadiums
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