High School

We appreciate your visit to 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. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

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 :

The weight of 5 × 10^6 dust particles, represented in scientific notation, is 3.71 × 10^-3 kilograms.

Given that the weight of one dust particle is 7.42 × 10^-10 kilograms, we can calculate the total weight of 5 × 10^6 dust particles.

Weight of one dust particle = 7.42 × 10^-10 kilograms

Weight of 5 × 10^6 dust particles = (7.42 × 10^-10 kilograms) × (5 × 10^6)

To multiply numbers in scientific notation, we multiply the coefficients and add the exponents:

Weight of 5 × 10^6 dust particles = 7.42 × 5 × 10^-10+6 kilograms

Weight of 5 × 10^6 dust particles = 37.1 × 10^-4 kilograms

Since 10^-4 can be written as 10^-3, we can express the weight in scientific notation as 3.71 × 10^-3 kilograms.

Therefore, the correct answer is B. 3.71 × 10^-3 kilograms.

Learn more about scientific notation and calculations here: brainly.com/question/30387920

#SPJ11

Thanks for taking the time to read 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. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada