Question

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

Answer 1

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:

$3.71\ast10^{-3}$