#1**+2 **

Ok, shoot, and I will see what I can do for you. (I am certified to tutor math for Kindergarten- 4th grade.) But I do enjoy higher grade math challenges!

Mr.Owl Oct 19, 2017

#3**+2 **

Just divide one by the other. Why did you ask your question in the "Answers" section instead of in the "Questions" section?

(7.5 x 10^-10) / (9.1 x 10-31) =8.24 x 10^20 electrons in 1 mote of dust.

Guest Oct 19, 2017

#4**+4 **

"The mass of a dust particle is approximately 7.5x10^-10 kilograms

and the mass of an electron is 9.1x10^-31 kilograms.

Approximately how many electrons have the same mass as one dust particle?"

This is just a division problem. You want electrons are in each dust particle

So how many times 9.1x10^-31 kilograms. goes into 7.5x10^-10 kilograms

7.5x10^-10 kilograms divided by 9.1x10^-31 kilograms

(7.5x10^-10) / (9.1x10^-31)

=(7.5/9.1) * (10^-10 / 10^-31) electrons per particle

(7.5/9.1) = 0.8241758241758242 = 8.241758241758242*10^-1

(10^-10 / 10^-31) = 10^21

So tha answer is

\(\approx 8.24\times 10^{-1}\times 10^{21}\\ \approx 8.24\times 10^{20}\;\;\text {electons in one dust particle}\)

.Melody Oct 19, 2017