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Answer :
Given:
Weight of one dust particle:
[tex]7.42\ast10^{10\text{ }}\operatorname{kg}[/tex]Let's find the weight of:
[tex]5\ast10^6[/tex]To find the weight of 5x10^6 dust particles, we have:
[tex]W=(5\ast10^6)\ast(7.42\ast10^{-10})[/tex]Solving further:
[tex]\begin{gathered} W=5\ast7.42\ast10^{6-10} \\ \\ W=37.1\ast10^{-4} \\ \\ \text{Convert to scientific notation:} \\ W=3.71\ast10^{-3} \end{gathered}[/tex]Therefore, the weight of 5x10^6 dust particles in scientific notation is:
[tex]3.71\ast10^{-3}[/tex]ANSWER:
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