High School

Select the correct answer.

A dust particle weighs [tex]$7.42 \times 10^{-10}$[/tex] kilograms. What is the weight of [tex]$5 \times 10^6$[/tex] dust particles represented in scientific notation?

A. [tex]$3.71 \times 10^{-4}$[/tex] kilograms
B. [tex]$3.71 \times 10^{-3}$[/tex] kilograms
C. [tex]$37.1 \times 10^{-3}$[/tex] kilograms
D. [tex]$37.1 \times 10^{-4}$[/tex] kilograms

Answer :

Answer:

D) [tex]37.1\times 10^{-4} \ \textsf{kilograms}[/tex]

Step-by-step explanation:

[tex]7.42 \times 10^{-10} \times5 \times 10^6[/tex]

[tex]\implies 7.42 \times 5 \times 10^{-10} \times 10^6[/tex]

[tex]\implies 37.1\times 10^{-10} \times 10^6[/tex]

[tex]\implies 37.1\times 10^{-10+6}[/tex]

[tex]\implies 37.1\times 10^{-4}[/tex]

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