in the lab experiment 28 000 blood cells were infected out of every 7 000 000 000. use scientific notation to find the percentage infected blood cells

Question

I am trying to figure out this math question.

Answer 1

first you want to take the given values in order to compute a percentage!

28,000 / 7,000,000,000 x 100% = 0.0004%

from there then it's a matter of expressing 0.0004% in scientific notation ... in order to do that you want to move the decimal point to the right until you have a number between 1 and 10 ... so this value ends up being

4.0 x 10^(-4)% once put into scientific notation

feel free to reach out if you have any additional questions beyond that! :)

Answer 2

28,000 = 2.8 x 10⁴

7,000,000,000 = 7.0 x 10⁹

 

2.8 x 10⁴ / 7.0 x 10⁹

0.4 x 10^-5

0.000004

0.0004%                          % = 2 decimal places