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Select the correct answer.A dust particle weighs 7.42 x 10-10 kilograms. What is the weight of 5 x 106 dust particles represented in scientific notation?OA 3.71 x 104 kilogramsOB 3.71 x 103 kilogramsOC. 37.1 x 103 kilogramsOD. 37.1 x 104 kilograms

1 Answer

7 votes

Given:

Weight of one dust particle:


7.42\ast10^{10\text{ }}\operatorname{kg}

Let's find the weight of:


5\ast10^6

To find the weight of 5x10^6 dust particles, we have:


W=(5\ast10^6)\ast(7.42\ast10^(-10))

Solving further:


\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}

Therefore, the weight of 5x10^6 dust particles in scientific notation is:


3.71\ast10^(-3)

ANSWER:


3.71\ast10^(-3)

User Jah Yusuff
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